(a) Interpretation: The given number should be converted into standard scientific notation. 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 14QAP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

3.125×103.

Explanation of Solution

The given measurement is 10.00032. It is equal to 3125, to convert this into scientific notation; the decimal will be shift four places to the right. The decimal will be placed after first digit, after placing the decimal, there will be three digits after the decimal. The power of 10 will be + 3 and the scientific notation will be 3.125×103.

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 10310−3. It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×106.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×100.

Explanation of Solution

The given measurement is 103103. It is equal to 1, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×100.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.818×10−5.

Explanation of Solution

The given measurement is 155, 000. It is equal to 0.00001818, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, decimal will move five digits to the right. Since, the decimal is moving right, the power of 10 will be negative. Thus, the scientific notation will be 1.818×10−5.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×107.

Explanation of Solution

The given measurement is (105)(104)(10−4)/10−2. It is equal to 107, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 43.2(4.32×10−5). It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×106.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×10−7.

Explanation of Solution

The given measurement is (4.32×10−5)/432. It is equal to 10−7, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×10−7.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×101.

Explanation of Solution

The given measurement is 1/(105)(10−6). It is equal to 101, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus decimal thus, the scientific notation will be 1.0×101.

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Answer 2

Question

Chapter 2, Problem 14QAP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

3.125×103.

Explanation of Solution

The given measurement is 10.00032. It is equal to 3125, to convert this into scientific notation; the decimal will be shift four places to the right. The decimal will be placed after first digit, after placing the decimal, there will be three digits after the decimal. The power of 10 will be + 3 and the scientific notation will be 3.125×103.

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 10310−3. It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×106.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×100.

Explanation of Solution

The given measurement is 103103. It is equal to 1, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×100.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.818×10−5.

Explanation of Solution

The given measurement is 155, 000. It is equal to 0.00001818, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, decimal will move five digits to the right. Since, the decimal is moving right, the power of 10 will be negative. Thus, the scientific notation will be 1.818×10−5.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×107.

Explanation of Solution

The given measurement is (105)(104)(10−4)/10−2. It is equal to 107, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 43.2(4.32×10−5). It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×106.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×10−7.

Explanation of Solution

The given measurement is (4.32×10−5)/432. It is equal to 10−7, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×10−7.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×101.

Explanation of Solution

The given measurement is 1/(105)(10−6). It is equal to 101, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus decimal thus, the scientific notation will be 1.0×101.

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Answer 3

Question

Chapter 2, Problem 14QAP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

3.125×103.

Explanation of Solution

The given measurement is 10.00032. It is equal to 3125, to convert this into scientific notation; the decimal will be shift four places to the right. The decimal will be placed after first digit, after placing the decimal, there will be three digits after the decimal. The power of 10 will be + 3 and the scientific notation will be 3.125×103.

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 10310−3. It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×106.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×100.

Explanation of Solution

The given measurement is 103103. It is equal to 1, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×100.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.818×10−5.

Explanation of Solution

The given measurement is 155, 000. It is equal to 0.00001818, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, decimal will move five digits to the right. Since, the decimal is moving right, the power of 10 will be negative. Thus, the scientific notation will be 1.818×10−5.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×107.

Explanation of Solution

The given measurement is (105)(104)(10−4)/10−2. It is equal to 107, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 43.2(4.32×10−5). It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×106.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×10−7.

Explanation of Solution

The given measurement is (4.32×10−5)/432. It is equal to 10−7, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×10−7.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×101.

Explanation of Solution

The given measurement is 1/(105)(10−6). It is equal to 101, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus decimal thus, the scientific notation will be 1.0×101.

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Answer 4

Question

Chapter 2, Problem 14QAP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

3.125×103.

Explanation of Solution

The given measurement is 10.00032. It is equal to 3125, to convert this into scientific notation; the decimal will be shift four places to the right. The decimal will be placed after first digit, after placing the decimal, there will be three digits after the decimal. The power of 10 will be + 3 and the scientific notation will be 3.125×103.

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 10310−3. It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×106.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×100.

Explanation of Solution

The given measurement is 103103. It is equal to 1, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×100.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.818×10−5.

Explanation of Solution

The given measurement is 155, 000. It is equal to 0.00001818, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, decimal will move five digits to the right. Since, the decimal is moving right, the power of 10 will be negative. Thus, the scientific notation will be 1.818×10−5.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×107.

Explanation of Solution

The given measurement is (105)(104)(10−4)/10−2. It is equal to 107, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 43.2(4.32×10−5). It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×106.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×10−7.

Explanation of Solution

The given measurement is (4.32×10−5)/432. It is equal to 10−7, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×10−7.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×101.

Explanation of Solution

The given measurement is 1/(105)(10−6). It is equal to 101, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus decimal thus, the scientific notation will be 1.0×101.

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Answer 5

Chapter 2, Problem 14QAP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

3.125×103.

Explanation of Solution

The given measurement is 10.00032. It is equal to 3125, to convert this into scientific notation; the decimal will be shift four places to the right. The decimal will be placed after first digit, after placing the decimal, there will be three digits after the decimal. The power of 10 will be + 3 and the scientific notation will be 3.125×103.

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 10310−3. It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×106.

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×100.

Explanation of Solution

The given measurement is 103103. It is equal to 1, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×100.

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.818×10−5.

Explanation of Solution

The given measurement is 155, 000. It is equal to 0.00001818, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, decimal will move five digits to the right. Since, the decimal is moving right, the power of 10 will be negative. Thus, the scientific notation will be 1.818×10−5.

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×107.

Explanation of Solution

The given measurement is (105)(104)(10−4)/10−2. It is equal to 107, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×107.

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 43.2(4.32×10−5). It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×106.

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×10−7.

Explanation of Solution

The given measurement is (4.32×10−5)/432. It is equal to 10−7, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×10−7.

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×101.

Explanation of Solution

The given measurement is 1/(105)(10−6). It is equal to 101, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus decimal thus, the scientific notation will be 1.0×101.

Answer 6

Chapter 2, Problem 14QAP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

3.125×103.

Explanation of Solution

The given measurement is 10.00032. It is equal to 3125, to convert this into scientific notation; the decimal will be shift four places to the right. The decimal will be placed after first digit, after placing the decimal, there will be three digits after the decimal. The power of 10 will be + 3 and the scientific notation will be 3.125×103.

Answer 7

Chapter 2, Problem 14QAP

Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

3.125×103.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The given measurement is 10.00032. It is equal to 3125, to convert this into scientific notation; the decimal will be shift four places to the right. The decimal will be placed after first digit, after placing the decimal, there will be three digits after the decimal. The power of 10 will be + 3 and the scientific notation will be 3.125×103.

Answer 13

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 10310−3. It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×106.

Answer 14

Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The given measurement is 10310−3. It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×106.

Answer 20

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×100.

Explanation of Solution

The given measurement is 103103. It is equal to 1, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×100.

Answer 21

Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×100.

Answer 23

Expert Solution

Answer 24

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The given measurement is 103103. It is equal to 1, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×100.

Answer 27

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.818×10−5.

Explanation of Solution

The given measurement is 155, 000. It is equal to 0.00001818, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, decimal will move five digits to the right. Since, the decimal is moving right, the power of 10 will be negative. Thus, the scientific notation will be 1.818×10−5.

Answer 28

Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.818×10−5.

Answer 30

Expert Solution

Answer 31

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

The given measurement is 155, 000. It is equal to 0.00001818, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, decimal will move five digits to the right. Since, the decimal is moving right, the power of 10 will be negative. Thus, the scientific notation will be 1.818×10−5.

Answer 34

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×107.

Explanation of Solution

The given measurement is (105)(104)(10−4)/10−2. It is equal to 107, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×107.

Answer 35

Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×107.

Answer 37

Expert Solution

Answer 38

Expert Solution

Answer 39

Expert Solution

Answer 40

Explanation of Solution

The given measurement is (105)(104)(10−4)/10−2. It is equal to 107, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×107.

Answer 41

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Explanation of Solution

The given measurement is 43.2(4.32×10−5). It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×106.

Answer 42

Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×106.

Answer 44

Expert Solution

Answer 45

Expert Solution

Answer 46

Expert Solution

Answer 47

Explanation of Solution

The given measurement is 43.2(4.32×10−5). It is equal to 106, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×106.

Answer 48

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×10−7.

Explanation of Solution

The given measurement is (4.32×10−5)/432. It is equal to 10−7, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×10−7.

Answer 49

Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×10−7.

Answer 51

Expert Solution

Answer 52

Expert Solution

Answer 53

Expert Solution

Answer 54

Explanation of Solution

The given measurement is (4.32×10−5)/432. It is equal to 10−7, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×10−7.

Answer 55

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×101.

Explanation of Solution

The given measurement is 1/(105)(10−6). It is equal to 101, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus decimal thus, the scientific notation will be 1.0×101.

Answer 56

Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

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 14QAP

1.0×101.

Answer 58

Expert Solution

Answer 59

Expert Solution

Answer 60

Expert Solution

Answer 61

Explanation of Solution

The given measurement is 1/(105)(10−6). It is equal to 101, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus decimal thus, the scientific notation will be 1.0×101.