(a) Interpretation: The 3984 .6 number should be expressed in four significant figures. Concept introduction: All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant.The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous. Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

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Answer 1

Question

Chapter 1, Problem 19E

Interpretation Introduction

(a)

Interpretation:

The 3984.6 number should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant.The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(b)

Interpretation:

The number 422.04 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(c)

Interpretation:

The number 186,000 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(d)

Interpretation:

The number 33900 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(e)

Interpretation:

The number 6.321×104 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(f)

Interpretation:

The number 5.0472×10-4 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

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Students have asked these similar questions

Express the following numbers as decimals:(a) 1.52 × 10−2 , (b) 7.78 × 10−8 , (c) 1 × 10−6, (d) 1.6001 × 103.

For each of the following numbers, determine the number ofsignificant figures it contains, rewrite it without using scientific notation, and determine thenumber of significant figures in the result. (a) 3.050 × 10–4 , (b) 4.3200 × 102 , (c) 8.001 × 10–7, (d) 2.006080 × 105 , (e) 1.503 × 10–5 , (f) 6.07510 × 104

Express the results of the following multiplications and divisions to the proper number of significant figures. All of the numbers are measured quantities. (a) 129.587 × 32.33 = 4.7791 (b) 3.21 × 5.793 10566.9 (c) 3.584 × 1029 (d) (5.247 × 10'3) × (1.3 × 10-17) =

Answer 2

Question

Chapter 1, Problem 19E

Interpretation Introduction

(a)

Interpretation:

The 3984.6 number should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant.The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(b)

Interpretation:

The number 422.04 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(c)

Interpretation:

The number 186,000 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(d)

Interpretation:

The number 33900 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(e)

Interpretation:

The number 6.321×104 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(f)

Interpretation:

The number 5.0472×10-4 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

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Answer 3

Question

Chapter 1, Problem 19E

Interpretation Introduction

(a)

Interpretation:

The 3984.6 number should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant.The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(b)

Interpretation:

The number 422.04 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(c)

Interpretation:

The number 186,000 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(d)

Interpretation:

The number 33900 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(e)

Interpretation:

The number 6.321×104 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(f)

Interpretation:

The number 5.0472×10-4 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

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Answer 4

Question

Chapter 1, Problem 19E

Interpretation Introduction

(a)

Interpretation:

The 3984.6 number should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant.The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(b)

Interpretation:

The number 422.04 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(c)

Interpretation:

The number 186,000 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(d)

Interpretation:

The number 33900 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(e)

Interpretation:

The number 6.321×104 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(f)

Interpretation:

The number 5.0472×10-4 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

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Answer 5

Chapter 1, Problem 19E

Interpretation Introduction

(a)

Interpretation:

The 3984.6 number should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant.The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(b)

Interpretation:

The number 422.04 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(c)

Interpretation:

The number 186,000 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(d)

Interpretation:

The number 33900 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(e)

Interpretation:

The number 6.321×104 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Interpretation Introduction

(f)

Interpretation:

The number 5.0472×10-4 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 6

Chapter 1, Problem 19E

Interpretation Introduction

(a)

Interpretation:

The 3984.6 number should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant.The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 7

Chapter 1, Problem 19E

Interpretation Introduction

(a)

Interpretation:

The 3984.6 number should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant.The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The number 422.04 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The number 422.04 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 10

Interpretation Introduction

(c)

Interpretation:

The number 186,000 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 11

Interpretation Introduction

(c)

Interpretation:

The number 186,000 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 12

Interpretation Introduction

(d)

Interpretation:

The number 33900 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 13

Interpretation Introduction

(d)

Interpretation:

The number 33900 should be expressed in four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 14

Interpretation Introduction

(e)

Interpretation:

The number 6.321×104 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 15

Interpretation Introduction

(e)

Interpretation:

The number 6.321×104 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 16

Interpretation Introduction

(f)

Interpretation:

The number 5.0472×10-4 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 17

Interpretation Introduction

(f)

Interpretation:

The number 5.0472×10-4 should be expressed in to four significant figures.

Concept introduction:

All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.

Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.

Answer 18

Expert Solution & Answer

Answer 19

Expert Solution & Answer

Answer 20

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Answer 21

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Solution Summary: The author explains that the 3984 .6 number should be expressed in four significant figures. The case of terminal zeros that precede the decimal point in quantities greater than one is ambigu

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Chapter 1 Solutions