(a) Interpretation: The answer of the given mathematical operation 49682 × 0 .80 is to be reported to appropriate number of significant figures. Concept introduction: During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity. There are certain thumb rules for identification of number of significant digits in a number. 1. All the trailing zeroes after the decimal point are not significant. 2. Zero that is placed to fix a decimal position is not significant. 3. Zero is only significant when it lies between two natural numbers. For example, 0.00456 has three significant digits. Rules for addition of significant figures are as follows: While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off. While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

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Answer 1

Question

Chapter 1, Problem 40P

Interpretation Introduction

(a)

Interpretation:

The answer of the given mathematical operation 49682×0.80 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct significant digits is40000.

Explanation of Solution

The mathematical operation is carried out as follows:

49682×0.80=39_745.6≈40000

Since two is the least number of significant digits that is present in 0.80, the product 39745.6 must be rounded off to contain only two significant digits.

Therefore, the product is reported as 40000.

Interpretation Introduction

(b)

Interpretation:

The sum of 66.815+2.82 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct number of decimal places is 69.64.

Explanation of Solution

The mathematical operation is carried out as follows:

66.815+2.82=69.63_5≈69.64

Since in addition or subtraction the result is reported that has least number of decimal places all the other digits are rounded off.

Since two is the least number of decimal places that is present in 2.82, the digit 5 in difference 63.635must be rounded off to contain only two decimal places.

Therefore, the sum is reported as 69.64.

Interpretation Introduction

(c)

Interpretation:

The quotient obtained on division of 1000 by 2.34 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The quotient obtained on division of 1000 by 2.34 is 300.

Explanation of Solution

The mathematical operation is carried out as follows:

10002.34=4_27.35042≈400

Since in division the result is reported that has least number of significant figures all the other digits are rounded off.

Since one is the least number of significant figures that is present in 1000 and therefore 427.35042 must be rounded off to obtain one significant figure.

Therefore the quotient is reported as 400.

Interpretation Introduction

(d)

Interpretation:

The difference of numbers 21−0.88 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The difference of numbers 21−0.88 is 20.

Explanation of Solution

The mathematical operation is carried out as follows:

21−0.88=20_.12≈20

Since in addition or subtraction the result is reported that has least number of decimal places and all the other digits are rounded off.

Here the least number of decimal places is zero so answer is reported that has zero decimal places.

Therefore the difference is reported as 20.

Interpretation Introduction

(e)

Interpretation:

The quotient obtained on division of 25000 by 0.4356 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer is reported as 57000.

Explanation of Solution

The mathematical operation is carried out as follows:

250000.4356=57_392.1028≈57000

Since two is the least number of significant digits that is present in 25000 hence the quotient 57392.1028 must be rounded off so as to contain only two significant digits.

Therefore the answer is reported as 57000.

Interpretation Introduction

(f)

Interpretation:

The sum of the given numbers 21.5381+26.55 is to be reported to appropriate number of significant figures.

Concept introduction:

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result

Expert Solution

Answer to Problem 40P

The sum of the numbers 21.5381+26.55 is 48.09.

Explanation of Solution

The mathematical operation is carried out as follows:

21.5381+26.55=48.08_81≈48.09

Since two is the least number of decimal places that is present in 26.55 hence the final result should contain two decimal places. Therefore the digits that follow 8 must be dropped off. And since the digit to be dropped is greater than 8 therefore previous digit must be increased by one unit.

Therefore the sum is reported as 48.09.

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Answer 2

Question

Chapter 1, Problem 40P

Interpretation Introduction

(a)

Interpretation:

The answer of the given mathematical operation 49682×0.80 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct significant digits is40000.

Explanation of Solution

The mathematical operation is carried out as follows:

49682×0.80=39_745.6≈40000

Since two is the least number of significant digits that is present in 0.80, the product 39745.6 must be rounded off to contain only two significant digits.

Therefore, the product is reported as 40000.

Interpretation Introduction

(b)

Interpretation:

The sum of 66.815+2.82 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct number of decimal places is 69.64.

Explanation of Solution

The mathematical operation is carried out as follows:

66.815+2.82=69.63_5≈69.64

Since in addition or subtraction the result is reported that has least number of decimal places all the other digits are rounded off.

Since two is the least number of decimal places that is present in 2.82, the digit 5 in difference 63.635must be rounded off to contain only two decimal places.

Therefore, the sum is reported as 69.64.

Interpretation Introduction

(c)

Interpretation:

The quotient obtained on division of 1000 by 2.34 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The quotient obtained on division of 1000 by 2.34 is 300.

Explanation of Solution

The mathematical operation is carried out as follows:

10002.34=4_27.35042≈400

Since in division the result is reported that has least number of significant figures all the other digits are rounded off.

Since one is the least number of significant figures that is present in 1000 and therefore 427.35042 must be rounded off to obtain one significant figure.

Therefore the quotient is reported as 400.

Interpretation Introduction

(d)

Interpretation:

The difference of numbers 21−0.88 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The difference of numbers 21−0.88 is 20.

Explanation of Solution

The mathematical operation is carried out as follows:

21−0.88=20_.12≈20

Since in addition or subtraction the result is reported that has least number of decimal places and all the other digits are rounded off.

Here the least number of decimal places is zero so answer is reported that has zero decimal places.

Therefore the difference is reported as 20.

Interpretation Introduction

(e)

Interpretation:

The quotient obtained on division of 25000 by 0.4356 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer is reported as 57000.

Explanation of Solution

The mathematical operation is carried out as follows:

250000.4356=57_392.1028≈57000

Since two is the least number of significant digits that is present in 25000 hence the quotient 57392.1028 must be rounded off so as to contain only two significant digits.

Therefore the answer is reported as 57000.

Interpretation Introduction

(f)

Interpretation:

The sum of the given numbers 21.5381+26.55 is to be reported to appropriate number of significant figures.

Concept introduction:

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result

Expert Solution

Answer to Problem 40P

The sum of the numbers 21.5381+26.55 is 48.09.

Explanation of Solution

The mathematical operation is carried out as follows:

21.5381+26.55=48.08_81≈48.09

Since two is the least number of decimal places that is present in 26.55 hence the final result should contain two decimal places. Therefore the digits that follow 8 must be dropped off. And since the digit to be dropped is greater than 8 therefore previous digit must be increased by one unit.

Therefore the sum is reported as 48.09.

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Answer 3

Question

Chapter 1, Problem 40P

Interpretation Introduction

(a)

Interpretation:

The answer of the given mathematical operation 49682×0.80 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct significant digits is40000.

Explanation of Solution

The mathematical operation is carried out as follows:

49682×0.80=39_745.6≈40000

Since two is the least number of significant digits that is present in 0.80, the product 39745.6 must be rounded off to contain only two significant digits.

Therefore, the product is reported as 40000.

Interpretation Introduction

(b)

Interpretation:

The sum of 66.815+2.82 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct number of decimal places is 69.64.

Explanation of Solution

The mathematical operation is carried out as follows:

66.815+2.82=69.63_5≈69.64

Since in addition or subtraction the result is reported that has least number of decimal places all the other digits are rounded off.

Since two is the least number of decimal places that is present in 2.82, the digit 5 in difference 63.635must be rounded off to contain only two decimal places.

Therefore, the sum is reported as 69.64.

Interpretation Introduction

(c)

Interpretation:

The quotient obtained on division of 1000 by 2.34 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The quotient obtained on division of 1000 by 2.34 is 300.

Explanation of Solution

The mathematical operation is carried out as follows:

10002.34=4_27.35042≈400

Since in division the result is reported that has least number of significant figures all the other digits are rounded off.

Since one is the least number of significant figures that is present in 1000 and therefore 427.35042 must be rounded off to obtain one significant figure.

Therefore the quotient is reported as 400.

Interpretation Introduction

(d)

Interpretation:

The difference of numbers 21−0.88 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The difference of numbers 21−0.88 is 20.

Explanation of Solution

The mathematical operation is carried out as follows:

21−0.88=20_.12≈20

Since in addition or subtraction the result is reported that has least number of decimal places and all the other digits are rounded off.

Here the least number of decimal places is zero so answer is reported that has zero decimal places.

Therefore the difference is reported as 20.

Interpretation Introduction

(e)

Interpretation:

The quotient obtained on division of 25000 by 0.4356 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer is reported as 57000.

Explanation of Solution

The mathematical operation is carried out as follows:

250000.4356=57_392.1028≈57000

Since two is the least number of significant digits that is present in 25000 hence the quotient 57392.1028 must be rounded off so as to contain only two significant digits.

Therefore the answer is reported as 57000.

Interpretation Introduction

(f)

Interpretation:

The sum of the given numbers 21.5381+26.55 is to be reported to appropriate number of significant figures.

Concept introduction:

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result

Expert Solution

Answer to Problem 40P

The sum of the numbers 21.5381+26.55 is 48.09.

Explanation of Solution

The mathematical operation is carried out as follows:

21.5381+26.55=48.08_81≈48.09

Since two is the least number of decimal places that is present in 26.55 hence the final result should contain two decimal places. Therefore the digits that follow 8 must be dropped off. And since the digit to be dropped is greater than 8 therefore previous digit must be increased by one unit.

Therefore the sum is reported as 48.09.

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Answer 4

Question

Chapter 1, Problem 40P

Interpretation Introduction

(a)

Interpretation:

The answer of the given mathematical operation 49682×0.80 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct significant digits is40000.

Explanation of Solution

The mathematical operation is carried out as follows:

49682×0.80=39_745.6≈40000

Since two is the least number of significant digits that is present in 0.80, the product 39745.6 must be rounded off to contain only two significant digits.

Therefore, the product is reported as 40000.

Interpretation Introduction

(b)

Interpretation:

The sum of 66.815+2.82 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct number of decimal places is 69.64.

Explanation of Solution

The mathematical operation is carried out as follows:

66.815+2.82=69.63_5≈69.64

Since in addition or subtraction the result is reported that has least number of decimal places all the other digits are rounded off.

Since two is the least number of decimal places that is present in 2.82, the digit 5 in difference 63.635must be rounded off to contain only two decimal places.

Therefore, the sum is reported as 69.64.

Interpretation Introduction

(c)

Interpretation:

The quotient obtained on division of 1000 by 2.34 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The quotient obtained on division of 1000 by 2.34 is 300.

Explanation of Solution

The mathematical operation is carried out as follows:

10002.34=4_27.35042≈400

Since in division the result is reported that has least number of significant figures all the other digits are rounded off.

Since one is the least number of significant figures that is present in 1000 and therefore 427.35042 must be rounded off to obtain one significant figure.

Therefore the quotient is reported as 400.

Interpretation Introduction

(d)

Interpretation:

The difference of numbers 21−0.88 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The difference of numbers 21−0.88 is 20.

Explanation of Solution

The mathematical operation is carried out as follows:

21−0.88=20_.12≈20

Since in addition or subtraction the result is reported that has least number of decimal places and all the other digits are rounded off.

Here the least number of decimal places is zero so answer is reported that has zero decimal places.

Therefore the difference is reported as 20.

Interpretation Introduction

(e)

Interpretation:

The quotient obtained on division of 25000 by 0.4356 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer is reported as 57000.

Explanation of Solution

The mathematical operation is carried out as follows:

250000.4356=57_392.1028≈57000

Since two is the least number of significant digits that is present in 25000 hence the quotient 57392.1028 must be rounded off so as to contain only two significant digits.

Therefore the answer is reported as 57000.

Interpretation Introduction

(f)

Interpretation:

The sum of the given numbers 21.5381+26.55 is to be reported to appropriate number of significant figures.

Concept introduction:

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result

Expert Solution

Answer to Problem 40P

The sum of the numbers 21.5381+26.55 is 48.09.

Explanation of Solution

The mathematical operation is carried out as follows:

21.5381+26.55=48.08_81≈48.09

Since two is the least number of decimal places that is present in 26.55 hence the final result should contain two decimal places. Therefore the digits that follow 8 must be dropped off. And since the digit to be dropped is greater than 8 therefore previous digit must be increased by one unit.

Therefore the sum is reported as 48.09.

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Answer 5

Chapter 1, Problem 40P

Interpretation Introduction

(a)

Interpretation:

The answer of the given mathematical operation 49682×0.80 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct significant digits is40000.

Explanation of Solution

The mathematical operation is carried out as follows:

49682×0.80=39_745.6≈40000

Since two is the least number of significant digits that is present in 0.80, the product 39745.6 must be rounded off to contain only two significant digits.

Therefore, the product is reported as 40000.

Interpretation Introduction

(b)

Interpretation:

The sum of 66.815+2.82 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct number of decimal places is 69.64.

Explanation of Solution

The mathematical operation is carried out as follows:

66.815+2.82=69.63_5≈69.64

Since in addition or subtraction the result is reported that has least number of decimal places all the other digits are rounded off.

Since two is the least number of decimal places that is present in 2.82, the digit 5 in difference 63.635must be rounded off to contain only two decimal places.

Therefore, the sum is reported as 69.64.

Interpretation Introduction

(c)

Interpretation:

The quotient obtained on division of 1000 by 2.34 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The quotient obtained on division of 1000 by 2.34 is 300.

Explanation of Solution

The mathematical operation is carried out as follows:

10002.34=4_27.35042≈400

Since in division the result is reported that has least number of significant figures all the other digits are rounded off.

Since one is the least number of significant figures that is present in 1000 and therefore 427.35042 must be rounded off to obtain one significant figure.

Therefore the quotient is reported as 400.

Interpretation Introduction

(d)

Interpretation:

The difference of numbers 21−0.88 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The difference of numbers 21−0.88 is 20.

Explanation of Solution

The mathematical operation is carried out as follows:

21−0.88=20_.12≈20

Since in addition or subtraction the result is reported that has least number of decimal places and all the other digits are rounded off.

Here the least number of decimal places is zero so answer is reported that has zero decimal places.

Therefore the difference is reported as 20.

Interpretation Introduction

(e)

Interpretation:

The quotient obtained on division of 25000 by 0.4356 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer is reported as 57000.

Explanation of Solution

The mathematical operation is carried out as follows:

250000.4356=57_392.1028≈57000

Since two is the least number of significant digits that is present in 25000 hence the quotient 57392.1028 must be rounded off so as to contain only two significant digits.

Therefore the answer is reported as 57000.

Interpretation Introduction

(f)

Interpretation:

The sum of the given numbers 21.5381+26.55 is to be reported to appropriate number of significant figures.

Concept introduction:

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result

Expert Solution

Answer to Problem 40P

The sum of the numbers 21.5381+26.55 is 48.09.

Explanation of Solution

The mathematical operation is carried out as follows:

21.5381+26.55=48.08_81≈48.09

Since two is the least number of decimal places that is present in 26.55 hence the final result should contain two decimal places. Therefore the digits that follow 8 must be dropped off. And since the digit to be dropped is greater than 8 therefore previous digit must be increased by one unit.

Therefore the sum is reported as 48.09.

Answer 6

Chapter 1, Problem 40P

Interpretation Introduction

(a)

Interpretation:

The answer of the given mathematical operation 49682×0.80 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct significant digits is40000.

Explanation of Solution

The mathematical operation is carried out as follows:

49682×0.80=39_745.6≈40000

Since two is the least number of significant digits that is present in 0.80, the product 39745.6 must be rounded off to contain only two significant digits.

Therefore, the product is reported as 40000.

Answer 7

Chapter 1, Problem 40P

Interpretation Introduction

(a)

Interpretation:

The answer of the given mathematical operation 49682×0.80 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Answer 8

Expert Solution

Answer to Problem 40P

The answer upto correct significant digits is40000.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The mathematical operation is carried out as follows:

49682×0.80=39_745.6≈40000

Since two is the least number of significant digits that is present in 0.80, the product 39745.6 must be rounded off to contain only two significant digits.

Therefore, the product is reported as 40000.

Answer 13

Interpretation Introduction

(b)

Interpretation:

The sum of 66.815+2.82 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer upto correct number of decimal places is 69.64.

Explanation of Solution

The mathematical operation is carried out as follows:

66.815+2.82=69.63_5≈69.64

Since in addition or subtraction the result is reported that has least number of decimal places all the other digits are rounded off.

Since two is the least number of decimal places that is present in 2.82, the digit 5 in difference 63.635must be rounded off to contain only two decimal places.

Therefore, the sum is reported as 69.64.

Answer 14

Interpretation Introduction

(b)

Interpretation:

The sum of 66.815+2.82 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed, operation is carried out and the result is reported to least number of significant digits. This means that the digits that follow the least number of significant digits are rounded off in the result.

Answer 15

Expert Solution

Answer to Problem 40P

The answer upto correct number of decimal places is 69.64.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The mathematical operation is carried out as follows:

66.815+2.82=69.63_5≈69.64

Since in addition or subtraction the result is reported that has least number of decimal places all the other digits are rounded off.

Since two is the least number of decimal places that is present in 2.82, the digit 5 in difference 63.635must be rounded off to contain only two decimal places.

Therefore, the sum is reported as 69.64.

Answer 20

Interpretation Introduction

(c)

Interpretation:

The quotient obtained on division of 1000 by 2.34 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The quotient obtained on division of 1000 by 2.34 is 300.

Explanation of Solution

The mathematical operation is carried out as follows:

10002.34=4_27.35042≈400

Since in division the result is reported that has least number of significant figures all the other digits are rounded off.

Since one is the least number of significant figures that is present in 1000 and therefore 427.35042 must be rounded off to obtain one significant figure.

Therefore the quotient is reported as 400.

Answer 21

Interpretation Introduction

(c)

Interpretation:

The quotient obtained on division of 1000 by 2.34 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity, there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Answer 22

Expert Solution

Answer to Problem 40P

The quotient obtained on division of 1000 by 2.34 is 300.

Answer 23

Expert Solution

Answer 24

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The mathematical operation is carried out as follows:

10002.34=4_27.35042≈400

Since in division the result is reported that has least number of significant figures all the other digits are rounded off.

Since one is the least number of significant figures that is present in 1000 and therefore 427.35042 must be rounded off to obtain one significant figure.

Therefore the quotient is reported as 400.

Answer 27

Interpretation Introduction

(d)

Interpretation:

The difference of numbers 21−0.88 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The difference of numbers 21−0.88 is 20.

Explanation of Solution

The mathematical operation is carried out as follows:

21−0.88=20_.12≈20

Since in addition or subtraction the result is reported that has least number of decimal places and all the other digits are rounded off.

Here the least number of decimal places is zero so answer is reported that has zero decimal places.

Therefore the difference is reported as 20.

Answer 28

Interpretation Introduction

(d)

Interpretation:

The difference of numbers 21−0.88 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

There are certain thumb rules for identification of number of significant digits in a number.

1. All the trailing zeroes after the decimal point are not significant.

2. Zero that is placed to fix a decimal position is not significant.

3. Zero is only significant when it lies between two natural numbers.

For example, 0.00456 has three significant digits.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Answer 29

Expert Solution

Answer to Problem 40P

The difference of numbers 21−0.88 is 20.

Answer 30

Expert Solution

Answer 31

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

The mathematical operation is carried out as follows:

21−0.88=20_.12≈20

Since in addition or subtraction the result is reported that has least number of decimal places and all the other digits are rounded off.

Here the least number of decimal places is zero so answer is reported that has zero decimal places.

Therefore the difference is reported as 20.

Answer 34

Interpretation Introduction

(e)

Interpretation:

The quotient obtained on division of 25000 by 0.4356 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Expert Solution

Answer to Problem 40P

The answer is reported as 57000.

Explanation of Solution

The mathematical operation is carried out as follows:

250000.4356=57_392.1028≈57000

Since two is the least number of significant digits that is present in 25000 hence the quotient 57392.1028 must be rounded off so as to contain only two significant digits.

Therefore the answer is reported as 57000.

Answer 35

Interpretation Introduction

(e)

Interpretation:

The quotient obtained on division of 25000 by 0.4356 is to be reported to appropriate number of significant figures.

Concept introduction:

During measurement of the physical quantity there always occurs a digit that is not known with certainty. The significant digits are digits that carry significance for the measurement of that physical quantity.

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result.

Answer 36

Expert Solution

Answer to Problem 40P

The answer is reported as 57000.

Answer 37

Expert Solution

Answer 38

Expert Solution

Answer 39

Expert Solution

Answer 40

Explanation of Solution

The mathematical operation is carried out as follows:

250000.4356=57_392.1028≈57000

Since two is the least number of significant digits that is present in 25000 hence the quotient 57392.1028 must be rounded off so as to contain only two significant digits.

Therefore the answer is reported as 57000.

Answer 41

Interpretation Introduction

(f)

Interpretation:

The sum of the given numbers 21.5381+26.55 is to be reported to appropriate number of significant figures.

Concept introduction:

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result

Expert Solution

Answer to Problem 40P

The sum of the numbers 21.5381+26.55 is 48.09.

Explanation of Solution

The mathematical operation is carried out as follows:

21.5381+26.55=48.08_81≈48.09

Since two is the least number of decimal places that is present in 26.55 hence the final result should contain two decimal places. Therefore the digits that follow 8 must be dropped off. And since the digit to be dropped is greater than 8 therefore previous digit must be increased by one unit.

Therefore the sum is reported as 48.09.

Answer 42

Interpretation Introduction

(f)

Interpretation:

The sum of the given numbers 21.5381+26.55 is to be reported to appropriate number of significant figures.

Concept introduction:

Rules for addition of significant figures are as follows:

While the addition or subtraction operation is being performed, operation is carried out and the final result is reported to least number of decimal places. Digits present at all the other places are rounded off.

While the multiplication or division operation is being performed operation is carried out and the final result is reported to least number of significant digits which means the digits that follow the least number of significant digits are rounded off in the result

Answer 43

Expert Solution

Answer to Problem 40P

The sum of the numbers 21.5381+26.55 is 48.09.

Answer 44

Expert Solution

Answer 45

Expert Solution

Answer 46

Expert Solution

Answer 47

Explanation of Solution

The mathematical operation is carried out as follows:

21.5381+26.55=48.08_81≈48.09

Since two is the least number of decimal places that is present in 26.55 hence the final result should contain two decimal places. Therefore the digits that follow 8 must be dropped off. And since the digit to be dropped is greater than 8 therefore previous digit must be increased by one unit.

Therefore the sum is reported as 48.09.