(a) To determine Find thenumber of significant figures of the number 214. Answer Solution: Number of significant figures is 3. Explanation 214 is a number and we have to find its significant number by following certain rules given below. Rules for determining the number significant figures - All non-zero digits are significant. All zeroes between non-zero digits are significant. All zeroes to the right of the last non-zero digit are not significant in number without a decimal point. All zeroes to the right of a decimal and to the left of a non-zero digit are not significant. All zeroes to the right of the decimal and to the right of a non-zero digit are significant. In addition and subtraction, we should retain the least decimal place among the value operated in the result. In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation. Conclusion : Here, the number of significant figures is 3 according to rule - All non-zero digits are significant. (b) To determine Find the number of significant figures of the number 81.60 Answer Solution: Number of significant figures is 4. Explanation 81.60 is a number and we have to find its significant number by following certain rules given below. Rules for determining the number significant figures - All non-zero digits are significant. All zeroes between non-zero digits are significant. All zeroes to the right of the last non-zero digit are not significant in number without a decimal point. All zeroes to the right of a decimal and to the left of a non-zero digit are not significant. All zeroes to the right of the decimal and to the right of a non-zero digit are significant. In addition and subtraction, we should retain the least decimal place among the value operated in the result. In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation. Conclusion: Here, the number of significant figures is 4 according to rule - All zeroes to the right of the decimal and to the right of a non-zero digit are significant. (c) To determine Find the number of significant figures of the number 7.03 Answer Solution: Number of significant figures is 3. Explanation 7.03 is a number and we have to find its significant number by following certain rules given below. Rules for determining the number significant figures - All non-zero digits are significant. All zeroes between non-zero digits are significant. All zeroes to the right of the last non-zero digit are not significant in number without a decimal point. All zeroes to the right of a decimal and to the left of a non-zero digit are not significant. All zeroes to the right of the decimal and to the right of a non-zero digit are significant. In addition and subtraction, we should retain the least decimal place among the value operated in the result. In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation. Here, the number of significant figures is 3 according to rule - Zeroes between non-zero digits are always significant. (d) To determine Find the number of significant figures of the number 0.03 Answer Solution: Number of significant figures is 1 Explanation 0.03 is a number and we have to find its number of significant figures by following certain rules given below. Rules for determining the number of significant figures - All non-zero digits are significant. All zeroes between non-zero digits are significant. All zeroes to the right of the last non-zero digit are not significant in number without a decimal point. All zeroes to the right of a decimal and to the left of a non-zero digit are not significant. All zeroes to the right of the decimal and to the right of a non-zero digit are significant. In addition and subtraction, we should retain the least decimal place among the value operated in the result. In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation. Here, the number of significant figures is 1 according to rule - Zeroes at the beginning of the number are non-significant. (e) To determine Find the number of significant figures of the number 0.0086 Answer Solution: Number of significant figures is 2. Explanation 0.0086 is a number and we have to find its number of significant figures by following certain rules given below. Rules for determining the number of significant figures - All non-zero digits are significant. All zeroes between non-zero digits are significant. All zeroes to the right of the last non-zero digit are not significant in number without a decimal point. All zeroes to the right of a decimal and to the left of a non-zero digit are not significant. All zeroes to the right of the decimal and to the right of a non-zero digit are significant. In addition and subtraction, we should retain the least decimal place among the value operated in the result. In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation. Here, the number of significant figures is 2 according to rule - Zeroes at the beginning of the number are non-significant. (f) To determine Find the number of significant figures of the number 3236 Answer Solution: Number of significant figures is 4. Explanation 3236 is a number and we have to find its number of significant figures by following certain rules given below. Rules for determining the number significant figures - All non-zero digits are significant. All zeroes between non-zero digits are significant. All zeroes to the right of the last non-zero digit are not significant in number without a decimal point. All zeroes to the right of a decimal and to the left of a non-zero digit are not significant. All zeroes to the right of the decimal and to the right of a non-zero digit are significant. In addition and subtraction, we should retain the least decimal place among the value operated in the result. In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation. Here, the number of significant figures is 4 according to rule - All non-zero numbers are significant. (g) To determine Answer Solution: No. of significant figures is 2. Explanation 8700 is a number and we have to find its number of significant figures by following certain rules given below. Rules for determining the number significant figures - All non-zero digits are significant. All zeroes between non-zero digits are significant. All zeroes to the right of the last non-zero digit are not significant in number without a decimal point. All zeroes to the right of a decimal and to the left of a non-zero digit are not significant. All zeroes to the right of the decimal and to the right of a non-zero digit are significant. In addition and subtraction, we should retain the least decimal place among the value operated in the result. In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation. Here, the number of significant figures is 2 according to rule - All zeroes to the right of the last non-zero digit are not significant in number without a decimal point.

6th Edition

ISBN: 9780130606204

Author: Douglas C. Giancoli

Publisher: Prentice Hall

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Textbook Question

Chapter 1, Problem 2P

How many significant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, (d) 0.03, (e) 0.0086, (f)3236, and (g) 8700?

(a)

Expert Solution

To determine

Find thenumber of significant figures of the number 214.

Answer to Problem 2P

Solution:

Number of significant figures is 3.

Explanation of Solution

214 is a number and we have to find its significant number by following certain rules given below.

Rules for determining the number significant figures -

All non-zero digits are significant.
All zeroes between non-zero digits are significant.
All zeroes to the right of the last non-zero digit are not significant in number without a decimal point.
All zeroes to the right of a decimal and to the left of a non-zero digit are not significant.
All zeroes to the right of the decimal and to the right of a non-zero digit are significant.
In addition and subtraction, we should retain the least decimal place among the value operated in the result.
In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation.

Conclusion:

Here, the number of significant figures is 3 according to rule - All non-zero digits are significant.

(b)

Expert Solution

To determine

Find the number of significant figures of the number 81.60

Answer to Problem 2P

Solution:

Number of significant figures is 4.

Explanation of Solution

81.60 is a number and we have to find its significant number by following certain rules given below.

Rules for determining the number significant figures -

All non-zero digits are significant.
All zeroes between non-zero digits are significant.
All zeroes to the right of the last non-zero digit are not significant in number without a decimal point.
All zeroes to the right of a decimal and to the left of a non-zero digit are not significant.
All zeroes to the right of the decimal and to the right of a non-zero digit are significant.
In addition and subtraction, we should retain the least decimal place among the value operated in the result.
In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation.

Conclusion:

Here, the number of significant figures is 4 according to rule - All zeroes to the right of the decimal and to the right of a non-zero digit are significant.

(c)

Expert Solution

To determine

Find the number of significant figures of the number 7.03

Answer to Problem 2P

Solution:

Number of significant figures is 3.

Explanation of Solution

7.03 is a number and we have to find its significant number by following certain rules given below.

Rules for determining the number significant figures -

All non-zero digits are significant.
All zeroes between non-zero digits are significant.
All zeroes to the right of the last non-zero digit are not significant in number without a decimal point.
All zeroes to the right of a decimal and to the left of a non-zero digit are not significant.
All zeroes to the right of the decimal and to the right of a non-zero digit are significant.
In addition and subtraction, we should retain the least decimal place among the value operated in the result.
In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation.

Here, the number of significant figures is 3 according to rule - Zeroes between non-zero digits are always significant.

(d)

Expert Solution

To determine

Find the number of significant figures of the number 0.03

Answer to Problem 2P

Solution:

Number of significant figures is 1

Explanation of Solution

0.03 is a number and we have to find its number of significant figures by following certain rules given below.

Rules for determining the number of significant figures -

All non-zero digits are significant.
All zeroes between non-zero digits are significant.
All zeroes to the right of the last non-zero digit are not significant in number without a decimal point.
All zeroes to the right of a decimal and to the left of a non-zero digit are not significant.
All zeroes to the right of the decimal and to the right of a non-zero digit are significant.
In addition and subtraction, we should retain the least decimal place among the value operated in the result.
In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation.

Here, the number of significant figures is 1 according to rule - Zeroes at the beginning of the number are non-significant.

(e)

Expert Solution

To determine

Find the number of significant figures of the number 0.0086

Answer to Problem 2P

Solution:

Number of significant figures is 2.

Explanation of Solution

0.0086 is a number and we have to find its number of significant figures by following certain rules given below.

Rules for determining the number of significant figures -

All non-zero digits are significant.
All zeroes between non-zero digits are significant.
All zeroes to the right of the last non-zero digit are not significant in number without a decimal point.
All zeroes to the right of a decimal and to the left of a non-zero digit are not significant.
All zeroes to the right of the decimal and to the right of a non-zero digit are significant.
In addition and subtraction, we should retain the least decimal place among the value operated in the result.
In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation.

Here, the number of significant figures is 2 according to rule - Zeroes at the beginning of the number are non-significant.

(f)

Expert Solution

To determine

Find the number of significant figures of the number 3236

Answer to Problem 2P

Solution:

Number of significant figures is 4.

Explanation of Solution

3236 is a number and we have to find its number of significant figures by following certain rules given below.

Rules for determining the number significant figures -

All non-zero digits are significant.
All zeroes between non-zero digits are significant.
All zeroes to the right of the last non-zero digit are not significant in number without a decimal point.
All zeroes to the right of a decimal and to the left of a non-zero digit are not significant.
All zeroes to the right of the decimal and to the right of a non-zero digit are significant.
In addition and subtraction, we should retain the least decimal place among the value operated in the result.
In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation.

Here, the number of significant figures is 4 according to rule - All non-zero numbers are significant.

(g)

Expert Solution

To determine

Answer to Problem 2P

Solution:

No. of significant figures is 2.

Explanation of Solution

8700 is a number and we have to find its number of significant figures by following certain rules given below.

Rules for determining the number significant figures -

All non-zero digits are significant.
All zeroes between non-zero digits are significant.
All zeroes to the right of the last non-zero digit are not significant in number without a decimal point.
All zeroes to the right of a decimal and to the left of a non-zero digit are not significant.
All zeroes to the right of the decimal and to the right of a non-zero digit are significant.
In addition and subtraction, we should retain the least decimal place among the value operated in the result.
In multiplication and division, we should express the result with least number of significant figures as associated with the least precise number in operation.

Here, the number of significant figures is 2 according to rule - All zeroes to the right of the last non-zero digit are not significant in number without a decimal point.

Chapter 1, Problem 1P

Chapter 1, Problem 3P

Chapter 1 Solutions

Physics: Principles with Applications

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