Chapter 5, Problem 24A

(a)

Interpretation Introduction

Interpretation: Significant figure of

  $1422$ needs to be explained.

Concept Introduction: Significant figure are exact digits which are known with certainty. Significant figure in a measurement is the number of figures which are known with certainty plus one that is uncertain with first non-zero digit.

Answer to Problem 24A

Significant figure of $1422$ is 4.

Explanation of Solution

All non-zero integers are count as significant figures. The number $1422$ contains four nonzero integers. So, all of these are count as significant figure. Hence, significant figure of this number is $4$ .

(b)

Interpretation Introduction

Interpretation: Significant figure of $65,321$ needs to be explained.

Concept Introduction: Significant figure are exact digits which are known with certainty. Significant figure in a measurement is the number of figures which are known with certainty plus one that is uncertain with first non-zero digit.

Answer to Problem 24A

Significant figure of $65,321$ is $5$ .

Explanation of Solution

All non-zero integers are count as significant figures. The number $65,321$ contains five nonzero integers. So, all of these are count as significant figure. Hence, significant figure of this number is $5$ .

(c)

Interpretation Introduction

Interpretation: Significant figure of $1.004\times {10}^5$ needs to be explained.

Concept Introduction: Significant figure are exact digits which are known with certainty. Significant figure in a measurement is the number of figures which are known with certainty plus one that is uncertain with first non-zero digit.

Answer to Problem 24A

Significant figure of $1.004\times {10}^5$ is 4.

Explanation of Solution

All non-zero integers are count as significant figures. The number $1.004\times {10}^5=100400$ . There is no decimal symbol in the end of the number. So, this two zero are not count in significant figure. Hence, significant figure of this number is 4.

(d)

Interpretation Introduction

Interpretation: Significant figure of $200$ needs to be explained.

Concept Introduction: Significant figure are exact digits which are known with certainty. Significant figure in a measurement is the number of figures which are known with certainty plus one that is uncertain with first non-zero digit.

Answer to Problem 24A

Significant figure of $200$ is 1.

Explanation of Solution

The number $200$ contains two zero at the right end of the number. There is no decimal symbol in the end of the number. So, this two zero are not count in significant figure. Hence, significant figure of this number is 1.

(e)

Interpretation Introduction

Interpretation: Significant figure of $200.$ needs to be explained.

Concept Introduction: Significant figure are exact digits which are known with certainty. Significant figures in a measurement is the number of figures which are known with certainty plus one that is uncertain with first non-zero digit.

Answer to Problem 24A

Significant figure of $200.$ is 3.

Explanation of Solution

The number $200.$ contains two zero at the right end of the number and has decimal symbol in the end of the number. So, this two zero are count in significant figure. Hence, significant figure of this number is 3.

(f)

Interpretation Introduction

Interpretation: Significant figure of $2.00\times {10}^2$ needs to be explained.

Concept Introduction: Significant figure are exact digits which are known with certainty. Significant figure in a measurement is the number of figures which are known with certainty plus one that is uncertain with first non-zero digit.

Answer to Problem 24A

Significant figure of $2.00\times {10}^2$ is 3.

Explanation of Solution

The number $2.00\times {10}^2$ is written as $200.$ the number $200.$ contains two zero at the right end of the number and has decimal symbol in the end of the number. So, this two zero are count in significant figure. Hence, significant figure of this number is 3.

(g)

Interpretation Introduction

Interpretation: Significant figure of $435.662$ needs to be explained.

Concept Introduction: Significant figure are exact digits which are known with certainty. Significant figure in a measurement is the number of figures which are known with certainty plus one that is uncertain with first non-zero digit.

Answer to Problem 24A

Significant figure of $435.662$ is 6.

Explanation of Solution

All non-zero integers are count as significant figures. The number $435.662$ contains six nonzero integers. So, all of these are count as significant figure. Hence, significant figure of this number is 6.

(h)

Interpretation Introduction

Interpretation: Significant figure of $56.341$ needs to be explained.

Concept Introduction: Significant figure are exact digits which are known with certainty. Significant figure in a measurement is the number of figures which are known with certainty plus one that is uncertain with first non-zero digit.

Answer to Problem 24A

Significant figure of $56.341$ is 5.

Explanation of Solution

All non-zero integers are count as significant figures. The number $56.341$ contains five nonzero integers. So, all of these are count as significant figure. Hence, significant figure of this number is 5.