(a) Interpretation: The given number should be converted into standard scientific notation. 102.3 × 10 − 5 Concept Introduction: Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10. For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Question

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Answer 1

Question

Chapter 2, Problem 121AP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

102.3×10−5

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

1.023×10−2.

Explanation of Solution

The given number is 102.3×10−5, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be increased by + 3 and scientific notation will be 1.023×10−2 (-5+3 = -2).

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

32.03×10−3

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.203.

Explanation of Solution

The given number is 32.03×10−3, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, thus, three units are added to the power of 10. The power of 10 becomes + 3 and scientific notation will be 3.203 as power of 10 is -3 and after placing the decimal then + 3 is added to the power of 10, thus power of 10 is equal to 0. Hence, 3.203 is the standard scientific notation.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

59933×102

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×106.

Explanation of Solution

The given number is 59933×102, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 2+4 = 6. Thus, standard scientific notation is 5.9933×106.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

599.33×104

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×108.

Explanation of Solution

The given number is 599.33×104, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+4 = 8. Thus, standard scientific notation is 5.9933×108.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

5993.3×103

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×107.

Explanation of Solution

The given number is 5993.3×103, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 3+4 = 7. Thus, standard scientific notation is 5.9933×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

2054×10−1

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

2.054×102.

Explanation of Solution

The given number is 2054×10−1, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be + 3 and thus, overall power of 10 will be + 3-1=+2. Hence, standard scientific notation is 2.054×102.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

32, 000, 000×10−6

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.2×101.

Explanation of Solution

The given number is 32, 000, 000×10−6, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be seven digits after the decimal thus, power of 10 will be + 7 and thus, overall power of 10 will be + 7-6=+1. Hence, standard scientific notation is 3.2×101.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

59.933×105

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×109.

Explanation of Solution

The given number is 59.933×105, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+5 = 9. Thus, standard scientific notation is 5.9933×109.

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Answer 2

Question

Chapter 2, Problem 121AP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

102.3×10−5

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

1.023×10−2.

Explanation of Solution

The given number is 102.3×10−5, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be increased by + 3 and scientific notation will be 1.023×10−2 (-5+3 = -2).

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

32.03×10−3

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.203.

Explanation of Solution

The given number is 32.03×10−3, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, thus, three units are added to the power of 10. The power of 10 becomes + 3 and scientific notation will be 3.203 as power of 10 is -3 and after placing the decimal then + 3 is added to the power of 10, thus power of 10 is equal to 0. Hence, 3.203 is the standard scientific notation.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

59933×102

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×106.

Explanation of Solution

The given number is 59933×102, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 2+4 = 6. Thus, standard scientific notation is 5.9933×106.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

599.33×104

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×108.

Explanation of Solution

The given number is 599.33×104, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+4 = 8. Thus, standard scientific notation is 5.9933×108.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

5993.3×103

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×107.

Explanation of Solution

The given number is 5993.3×103, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 3+4 = 7. Thus, standard scientific notation is 5.9933×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

2054×10−1

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

2.054×102.

Explanation of Solution

The given number is 2054×10−1, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be + 3 and thus, overall power of 10 will be + 3-1=+2. Hence, standard scientific notation is 2.054×102.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

32, 000, 000×10−6

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.2×101.

Explanation of Solution

The given number is 32, 000, 000×10−6, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be seven digits after the decimal thus, power of 10 will be + 7 and thus, overall power of 10 will be + 7-6=+1. Hence, standard scientific notation is 3.2×101.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

59.933×105

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×109.

Explanation of Solution

The given number is 59.933×105, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+5 = 9. Thus, standard scientific notation is 5.9933×109.

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Answer 3

Question

Chapter 2, Problem 121AP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

102.3×10−5

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

1.023×10−2.

Explanation of Solution

The given number is 102.3×10−5, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be increased by + 3 and scientific notation will be 1.023×10−2 (-5+3 = -2).

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

32.03×10−3

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.203.

Explanation of Solution

The given number is 32.03×10−3, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, thus, three units are added to the power of 10. The power of 10 becomes + 3 and scientific notation will be 3.203 as power of 10 is -3 and after placing the decimal then + 3 is added to the power of 10, thus power of 10 is equal to 0. Hence, 3.203 is the standard scientific notation.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

59933×102

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×106.

Explanation of Solution

The given number is 59933×102, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 2+4 = 6. Thus, standard scientific notation is 5.9933×106.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

599.33×104

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×108.

Explanation of Solution

The given number is 599.33×104, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+4 = 8. Thus, standard scientific notation is 5.9933×108.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

5993.3×103

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×107.

Explanation of Solution

The given number is 5993.3×103, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 3+4 = 7. Thus, standard scientific notation is 5.9933×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

2054×10−1

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

2.054×102.

Explanation of Solution

The given number is 2054×10−1, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be + 3 and thus, overall power of 10 will be + 3-1=+2. Hence, standard scientific notation is 2.054×102.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

32, 000, 000×10−6

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.2×101.

Explanation of Solution

The given number is 32, 000, 000×10−6, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be seven digits after the decimal thus, power of 10 will be + 7 and thus, overall power of 10 will be + 7-6=+1. Hence, standard scientific notation is 3.2×101.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

59.933×105

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×109.

Explanation of Solution

The given number is 59.933×105, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+5 = 9. Thus, standard scientific notation is 5.9933×109.

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Answer 4

Question

Chapter 2, Problem 121AP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

102.3×10−5

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

1.023×10−2.

Explanation of Solution

The given number is 102.3×10−5, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be increased by + 3 and scientific notation will be 1.023×10−2 (-5+3 = -2).

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

32.03×10−3

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.203.

Explanation of Solution

The given number is 32.03×10−3, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, thus, three units are added to the power of 10. The power of 10 becomes + 3 and scientific notation will be 3.203 as power of 10 is -3 and after placing the decimal then + 3 is added to the power of 10, thus power of 10 is equal to 0. Hence, 3.203 is the standard scientific notation.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

59933×102

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×106.

Explanation of Solution

The given number is 59933×102, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 2+4 = 6. Thus, standard scientific notation is 5.9933×106.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

599.33×104

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×108.

Explanation of Solution

The given number is 599.33×104, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+4 = 8. Thus, standard scientific notation is 5.9933×108.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

5993.3×103

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×107.

Explanation of Solution

The given number is 5993.3×103, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 3+4 = 7. Thus, standard scientific notation is 5.9933×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

2054×10−1

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

2.054×102.

Explanation of Solution

The given number is 2054×10−1, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be + 3 and thus, overall power of 10 will be + 3-1=+2. Hence, standard scientific notation is 2.054×102.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

32, 000, 000×10−6

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.2×101.

Explanation of Solution

The given number is 32, 000, 000×10−6, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be seven digits after the decimal thus, power of 10 will be + 7 and thus, overall power of 10 will be + 7-6=+1. Hence, standard scientific notation is 3.2×101.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

59.933×105

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×109.

Explanation of Solution

The given number is 59.933×105, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+5 = 9. Thus, standard scientific notation is 5.9933×109.

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Answer 5

Chapter 2, Problem 121AP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

102.3×10−5

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

1.023×10−2.

Explanation of Solution

The given number is 102.3×10−5, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be increased by + 3 and scientific notation will be 1.023×10−2 (-5+3 = -2).

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

32.03×10−3

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.203.

Explanation of Solution

The given number is 32.03×10−3, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, thus, three units are added to the power of 10. The power of 10 becomes + 3 and scientific notation will be 3.203 as power of 10 is -3 and after placing the decimal then + 3 is added to the power of 10, thus power of 10 is equal to 0. Hence, 3.203 is the standard scientific notation.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

59933×102

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×106.

Explanation of Solution

The given number is 59933×102, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 2+4 = 6. Thus, standard scientific notation is 5.9933×106.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

599.33×104

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×108.

Explanation of Solution

The given number is 599.33×104, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+4 = 8. Thus, standard scientific notation is 5.9933×108.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

5993.3×103

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×107.

Explanation of Solution

The given number is 5993.3×103, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 3+4 = 7. Thus, standard scientific notation is 5.9933×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

2054×10−1

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

2.054×102.

Explanation of Solution

The given number is 2054×10−1, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be + 3 and thus, overall power of 10 will be + 3-1=+2. Hence, standard scientific notation is 2.054×102.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

32, 000, 000×10−6

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.2×101.

Explanation of Solution

The given number is 32, 000, 000×10−6, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be seven digits after the decimal thus, power of 10 will be + 7 and thus, overall power of 10 will be + 7-6=+1. Hence, standard scientific notation is 3.2×101.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

59.933×105

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×109.

Explanation of Solution

The given number is 59.933×105, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+5 = 9. Thus, standard scientific notation is 5.9933×109.

Answer 6

Chapter 2, Problem 121AP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

102.3×10−5

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

1.023×10−2.

Explanation of Solution

The given number is 102.3×10−5, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be increased by + 3 and scientific notation will be 1.023×10−2 (-5+3 = -2).

Answer 7

Chapter 2, Problem 121AP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

102.3×10−5

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer 8

Expert Solution

Answer to Problem 121AP

1.023×10−2.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The given number is 102.3×10−5, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be increased by + 3 and scientific notation will be 1.023×10−2 (-5+3 = -2).

Answer 13

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

32.03×10−3

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.203.

Explanation of Solution

The given number is 32.03×10−3, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, thus, three units are added to the power of 10. The power of 10 becomes + 3 and scientific notation will be 3.203 as power of 10 is -3 and after placing the decimal then + 3 is added to the power of 10, thus power of 10 is equal to 0. Hence, 3.203 is the standard scientific notation.

Answer 14

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

32.03×10−3

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer 15

Expert Solution

Answer to Problem 121AP

3.203.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The given number is 32.03×10−3, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, thus, three units are added to the power of 10. The power of 10 becomes + 3 and scientific notation will be 3.203 as power of 10 is -3 and after placing the decimal then + 3 is added to the power of 10, thus power of 10 is equal to 0. Hence, 3.203 is the standard scientific notation.

Answer 20

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

59933×102

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×106.

Explanation of Solution

The given number is 59933×102, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 2+4 = 6. Thus, standard scientific notation is 5.9933×106.

Answer 21

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

59933×102

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer 22

Expert Solution

Answer to Problem 121AP

5.9933×106.

Answer 23

Expert Solution

Answer 24

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The given number is 59933×102, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 2+4 = 6. Thus, standard scientific notation is 5.9933×106.

Answer 27

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

599.33×104

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×108.

Explanation of Solution

The given number is 599.33×104, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+4 = 8. Thus, standard scientific notation is 5.9933×108.

Answer 28

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

599.33×104

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer 29

Expert Solution

Answer to Problem 121AP

5.9933×108.

Answer 30

Expert Solution

Answer 31

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

The given number is 599.33×104, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+4 = 8. Thus, standard scientific notation is 5.9933×108.

Answer 34

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

5993.3×103

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×107.

Explanation of Solution

The given number is 5993.3×103, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 3+4 = 7. Thus, standard scientific notation is 5.9933×107.

Answer 35

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

5993.3×103

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer 36

Expert Solution

Answer to Problem 121AP

5.9933×107.

Answer 37

Expert Solution

Answer 38

Expert Solution

Answer 39

Expert Solution

Answer 40

Explanation of Solution

The given number is 5993.3×103, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 3+4 = 7. Thus, standard scientific notation is 5.9933×107.

Answer 41

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

2054×10−1

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

2.054×102.

Explanation of Solution

The given number is 2054×10−1, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be + 3 and thus, overall power of 10 will be + 3-1=+2. Hence, standard scientific notation is 2.054×102.

Answer 42

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

2054×10−1

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer 43

Expert Solution

Answer to Problem 121AP

2.054×102.

Answer 44

Expert Solution

Answer 45

Expert Solution

Answer 46

Expert Solution

Answer 47

Explanation of Solution

The given number is 2054×10−1, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be three digits after the decimal thus, power of 10 will be + 3 and thus, overall power of 10 will be + 3-1=+2. Hence, standard scientific notation is 2.054×102.

Answer 48

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

32, 000, 000×10−6

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

3.2×101.

Explanation of Solution

The given number is 32, 000, 000×10−6, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be seven digits after the decimal thus, power of 10 will be + 7 and thus, overall power of 10 will be + 7-6=+1. Hence, standard scientific notation is 3.2×101.

Answer 49

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

32, 000, 000×10−6

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer 50

Expert Solution

Answer to Problem 121AP

3.2×101.

Answer 51

Expert Solution

Answer 52

Expert Solution

Answer 53

Expert Solution

Answer 54

Explanation of Solution

The given number is 32, 000, 000×10−6, to write it in scientific notation, decimal is placed after first non-zero digit. After placing the decimal, there will be seven digits after the decimal thus, power of 10 will be + 7 and thus, overall power of 10 will be + 7-6=+1. Hence, standard scientific notation is 3.2×101.

Answer 55

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

59.933×105

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Expert Solution

Answer to Problem 121AP

5.9933×109.

Explanation of Solution

The given number is 59.933×105, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+5 = 9. Thus, standard scientific notation is 5.9933×109.

Answer 56

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

59.933×105

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer 57

Expert Solution

Answer to Problem 121AP

5.9933×109.

Answer 58

Expert Solution

Answer 59

Expert Solution

Answer 60

Expert Solution

Answer 61

Explanation of Solution

The given number is 59.933×105, to write it in scientific notation, decimal is placed after first non-zero digit. Thus, after placing the decimal, there will be four digits after the decimal, thus, power of 10 will be increased by four units, and overall power of 10 will be + 4+5 = 9. Thus, standard scientific notation is 5.9933×109.