Chapter 3, Problem 58A

a)

Interpretation Introduction

Interpretation : The round-off of each measurement to three significant figures is to be calculated.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Round the number to three significant figures in the measurement.

Answer to Problem 58A

The answer in the significant figure is $98.5\text{L}$ .

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

There is a set of rules to detect the digits in a significant measured value.

Round the number to three significant figures in the measurement.

If the 4^th digit number is greater than or equal to 5, then the 3^rd digit is added up by number 1 while leaving the remaining digit after the 4^th digit is simply dropped. If the 4^th digit number is lesser than 5, then the values till the 3^rd digit are alone taken up.

The given question is $98.473\text{L}$ .

The significant figure is given as:

  $98.473\text{L}\text{=}98.5\text{L}$

b)

Interpretation Introduction

Interpretation : The round-off of each measurement to three significant figures is to be calculated.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Round the number to three significant figures in the measurement.

Answer to Problem 58A

The answer in the significant figure is $0.000763\text{cg}$ .

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

There is a set of rules to detect the digits in a significant measured value.

Round the number to three significant figures in the measurement.

If the 4^th digit number is greater than or equal to 5, then the 3^rd digit is added up by number 1 while leaving the remaining digit after the 4^th digit is simply dropped. If the 4^th digit number is lesser than 5, then the values till the 3^rd digit are alone taken up.

The given question is $0.00076321\text{cg}$ .

The significant figure is given as:

  $0.00076321\text{cg}\text{=}0.000763\text{cg}$

c)

Interpretation Introduction

Interpretation : The round-off of each measurement to three significant figures is to be calculated.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Round the number to three significant figures in the measurement.

Answer to Problem 58A

The answer in the significant figure is $57.0\text{m}$ .

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

There is a set of rules to detect the digits in a significant measured value.

Round the number to three significant figures in the measurement.

If the 4^th digit number is greater than or equal to 5, then the 3^rd digit is added up by number 1 while leaving the remaining digit after the 4^th digit is simply dropped. If the 4^th digit number is lesser than 5, then the values till the 3^rd digit are alone taken up.

The given question is $57.048\text{m}$ .

The significant figure is given as:

  $57.048\text{m}\text{=}57.0\text{m}$

d)

Interpretation Introduction

Interpretation : The round-off of each measurement to three significant figures is to be calculated.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Round the number to three significant figures in the measurement.

Answer to Problem 58A

The answer in the significant figure is $12.2{}^{\circ }\text{C}$ .

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

There is a set of rules to detect the digits in a significant measured value.

Round the number to three significant figures in the measurement.

If the 4^th digit number is greater than or equal to 5, then the 3^rd digit is added up by number 1 while leaving the remaining digit after the 4^th digit is simply dropped. If the 4^th digit number is lesser than 5, then the values till the 3^rd digit are alone taken up.

The given question is $12.17{}^{\circ }\text{C}$ .

The significant figure is given as:

  $12.17{}^{\circ }\text{C}\text{=}12.2{}^{\circ }\text{C}$

e)

Interpretation Introduction

Interpretation : The round-off of each measurement to three significant figures is to be calculated.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Round the number to three significant figures in the measurement.

Answer to Problem 58A

The answer in the significant figure is $0.00750\times {10}^4\text{mm}$ .

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

There is a set of rules to detect the digits in a significant measured value.

Round the number to three significant figures in the measurement.

If the 4^th digit number is greater than or equal to 5, then the 3^rd digit is added up by number 1 while leaving the remaining digit after the 4^th digit is simply dropped. If the 4^th digit number is lesser than 5, then the values till the 3^rd digit are alone taken up.

The given question is $0.0074983\times {10}^4\text{mm}$ .

The significant figure is given as:

  $0.0074983\times {10}^4\text{mm}\text{=}0.00750\times {10}^4\text{mm}$

f)

Interpretation Introduction

Interpretation : The round-off of each measurement to three significant figures is to be calculated.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Round the number to three significant figures in the measurement.

Answer to Problem 58A

The answer in the significant figure is $1760\text{ml}$ .

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

There is a set of rules to detect the digits in a significant measured value.

Round the number to three significant figures in the measurement.

If the 4^th digit number is greater than or equal to 5, then the 3^rd digit is added up by number 1 while leaving the remaining digit after the 4^th digit is simply dropped. If the 4^th digit number is lesser than 5, then the values till the 3^rd digit are alone taken up.

The given question is $1764.9\text{ml}$ .

The significant figure is given as:

  $1764.9\text{ml}=1760\text{ml}$