The round off value should be identified given the significant figures. Concept Introduction: Significant figures: The term significant figures refer to the number of important single digits in the co-efficient of an expression in scientific notation (for example 0 to 9 inclusive). In other words precision of measurements, the value recorded should use all the digits known with certainty, plus one additional estimated digit that is usually considered uncertain by plus or minus one it should be written as ( ± 1 ) . The numbers that follow the following rules are considered to be significant. 1. All non-zero numbers are significant. 2. The zero that present between the two significant digits are also significant. 3. The zero that comes after the decimal point is considered as significant.

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Answer 1

Question

Chapter 1, Problem 1.64ASP

(a)

Interpretation Introduction

Interpretation:

The round off value should be identified given the significant figures.

Concept Introduction:

Significant figures: The term significant figures refer to the number of important single digits in the co-efficient of an expression in scientific notation (for example 0 to 9 inclusive).

In other words precision of measurements, the value recorded should use all the digits known with certainty, plus one additional estimated digit that is usually considered uncertain by plus or minus one it should be written as (±1).

The numbers that follow the following rules are considered to be significant.

1. All non-zero numbers are significant.

2. The zero that present between the two significant digits are also significant.

3. The zero that comes after the decimal point is considered as significant.

(b)

Interpretation Introduction

Interpretation:

The conversion should be identified from standard notation into scientific notation.

Concept Introduction:

Scientific notation: This method to expressing numbers in terms of a decimal number between 1 and 10 multiplexed by a power of 10 it is called scientific notation. For example 150, 000, 000 as 1.5 × 108 indicates the two significant figures, whereas writing it as 1.500 × 108 indicates four significant figures.

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Answer 2

Question

Chapter 1, Problem 1.64ASP

(a)

Interpretation Introduction

Interpretation:

The round off value should be identified given the significant figures.

Concept Introduction:

Significant figures: The term significant figures refer to the number of important single digits in the co-efficient of an expression in scientific notation (for example 0 to 9 inclusive).

In other words precision of measurements, the value recorded should use all the digits known with certainty, plus one additional estimated digit that is usually considered uncertain by plus or minus one it should be written as (±1).

The numbers that follow the following rules are considered to be significant.

1. All non-zero numbers are significant.

2. The zero that present between the two significant digits are also significant.

3. The zero that comes after the decimal point is considered as significant.

(b)

Interpretation Introduction

Interpretation:

The conversion should be identified from standard notation into scientific notation.

Concept Introduction:

Scientific notation: This method to expressing numbers in terms of a decimal number between 1 and 10 multiplexed by a power of 10 it is called scientific notation. For example 150, 000, 000 as 1.5 × 108 indicates the two significant figures, whereas writing it as 1.500 × 108 indicates four significant figures.

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Answer 3

Question

Chapter 1, Problem 1.64ASP

(a)

Interpretation Introduction

Interpretation:

The round off value should be identified given the significant figures.

Concept Introduction:

Significant figures: The term significant figures refer to the number of important single digits in the co-efficient of an expression in scientific notation (for example 0 to 9 inclusive).

In other words precision of measurements, the value recorded should use all the digits known with certainty, plus one additional estimated digit that is usually considered uncertain by plus or minus one it should be written as (±1).

The numbers that follow the following rules are considered to be significant.

1. All non-zero numbers are significant.

2. The zero that present between the two significant digits are also significant.

3. The zero that comes after the decimal point is considered as significant.

(b)

Interpretation Introduction

Interpretation:

The conversion should be identified from standard notation into scientific notation.

Concept Introduction:

Scientific notation: This method to expressing numbers in terms of a decimal number between 1 and 10 multiplexed by a power of 10 it is called scientific notation. For example 150, 000, 000 as 1.5 × 108 indicates the two significant figures, whereas writing it as 1.500 × 108 indicates four significant figures.

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Answer 4

Question

Chapter 1, Problem 1.64ASP

(a)

Interpretation Introduction

Interpretation:

The round off value should be identified given the significant figures.

Concept Introduction:

Significant figures: The term significant figures refer to the number of important single digits in the co-efficient of an expression in scientific notation (for example 0 to 9 inclusive).

In other words precision of measurements, the value recorded should use all the digits known with certainty, plus one additional estimated digit that is usually considered uncertain by plus or minus one it should be written as (±1).

The numbers that follow the following rules are considered to be significant.

1. All non-zero numbers are significant.

2. The zero that present between the two significant digits are also significant.

3. The zero that comes after the decimal point is considered as significant.

(b)

Interpretation Introduction

Interpretation:

The conversion should be identified from standard notation into scientific notation.

Concept Introduction:

Scientific notation: This method to expressing numbers in terms of a decimal number between 1 and 10 multiplexed by a power of 10 it is called scientific notation. For example 150, 000, 000 as 1.5 × 108 indicates the two significant figures, whereas writing it as 1.500 × 108 indicates four significant figures.

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Answer 5

Chapter 1, Problem 1.64ASP

(a)

Interpretation Introduction

Interpretation:

The round off value should be identified given the significant figures.

Concept Introduction:

Significant figures: The term significant figures refer to the number of important single digits in the co-efficient of an expression in scientific notation (for example 0 to 9 inclusive).

In other words precision of measurements, the value recorded should use all the digits known with certainty, plus one additional estimated digit that is usually considered uncertain by plus or minus one it should be written as (±1).

The numbers that follow the following rules are considered to be significant.

1. All non-zero numbers are significant.

2. The zero that present between the two significant digits are also significant.

3. The zero that comes after the decimal point is considered as significant.

(b)

Interpretation Introduction

Interpretation:

The conversion should be identified from standard notation into scientific notation.

Concept Introduction:

Scientific notation: This method to expressing numbers in terms of a decimal number between 1 and 10 multiplexed by a power of 10 it is called scientific notation. For example 150, 000, 000 as 1.5 × 108 indicates the two significant figures, whereas writing it as 1.500 × 108 indicates four significant figures.

Answer 6

Chapter 1, Problem 1.64ASP

(a)

Interpretation Introduction

Interpretation:

The round off value should be identified given the significant figures.

Concept Introduction:

Significant figures: The term significant figures refer to the number of important single digits in the co-efficient of an expression in scientific notation (for example 0 to 9 inclusive).

In other words precision of measurements, the value recorded should use all the digits known with certainty, plus one additional estimated digit that is usually considered uncertain by plus or minus one it should be written as (±1).

The numbers that follow the following rules are considered to be significant.

1. All non-zero numbers are significant.

2. The zero that present between the two significant digits are also significant.

3. The zero that comes after the decimal point is considered as significant.

Answer 7

Chapter 1, Problem 1.64ASP

(a)

Interpretation Introduction

Interpretation:

The round off value should be identified given the significant figures.

Concept Introduction:

Significant figures: The term significant figures refer to the number of important single digits in the co-efficient of an expression in scientific notation (for example 0 to 9 inclusive).

In other words precision of measurements, the value recorded should use all the digits known with certainty, plus one additional estimated digit that is usually considered uncertain by plus or minus one it should be written as (±1).

The numbers that follow the following rules are considered to be significant.

1. All non-zero numbers are significant.

2. The zero that present between the two significant digits are also significant.

3. The zero that comes after the decimal point is considered as significant.

Answer 8

(b)

Interpretation Introduction

Interpretation:

The conversion should be identified from standard notation into scientific notation.

Concept Introduction:

Scientific notation: This method to expressing numbers in terms of a decimal number between 1 and 10 multiplexed by a power of 10 it is called scientific notation. For example 150, 000, 000 as 1.5 × 108 indicates the two significant figures, whereas writing it as 1.500 × 108 indicates four significant figures.

Answer 9

(b)

Interpretation Introduction

Interpretation:

The conversion should be identified from standard notation into scientific notation.

Concept Introduction:

Scientific notation: This method to expressing numbers in terms of a decimal number between 1 and 10 multiplexed by a power of 10 it is called scientific notation. For example 150, 000, 000 as 1.5 × 108 indicates the two significant figures, whereas writing it as 1.500 × 108 indicates four significant figures.

Answer 10

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Answer 12

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Answer 13

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Solution Summary: The author explains that significant figures refer to the number of important single digits in the co-efficient of an expression in scientific notation.

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