Chapter 3, Problem 59A

a)

Interpretation Introduction

Interpretation : The round-off of each of the answers correctly.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. The significant figures are preserved when numbers are rounded off.

Answer to Problem 59A

The answer in round-off is $43.1\text{g}$ .

Explanation of Solution

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

The significant figures are preserved when numbers are rounded off.

Round the number to three significant figures in the measurement.

If the second digit after the decimal is greater than or equal to 5, then the 1^st digit after the decimal is added up by the number 1. If the second digit after the decimal is lesser than 5, then the 1^st digit is alone taken up.

In the given question, the operations are already performed. Only a round-off of the answer should be done.

The given answer is $43.13\text{g}$ .

The rounding off is given as:

  $43.13\text{g}\text{=}43.1\text{g}$

b)

Interpretation Introduction

Interpretation : The round-off of each of the answers correctly.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. The significant figures are preserved when numbers are rounded off.

Answer to Problem 59A

The answer in round-off is $7.3{\text{cm}}^2$ .

Explanation of Solution

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

The significant figures are preserved when numbers are rounded off.

Round the number to three significant figures in the measurement.

If the second digit after the decimal is greater than or equal to 5, then the 1^st digit after the decimal is added up by the number 1. If the second digit after the decimal is lesser than 5, then the 1^st digit is alone taken up.

In the given question, the operations are already performed. Only a round-off of the answer should be done.

The given answer is $7.344{\text{cm}}^2$ .

The rounding off is given as:

  $7.344{\text{cm}}^2\text{=}7.3{\text{cm}}^2$

c)

Interpretation Introduction

Interpretation : The round-off of each of the answers correctly.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. The significant figures are preserved when numbers are rounded off.

Answer to Problem 59A

The answer in round-off is $225.8\text{L}$ .

Explanation of Solution

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

The significant figures are preserved when numbers are rounded off.

Round the number to three significant figures in the measurement.

If the second digit after the decimal is greater than or equal to 5, then the 1^st digit after the decimal is added up by the number 1. If the second digit after the decimal is lesser than 5, then the 1^st digit is alone taken up.

In the given question, the operations are already performed. Only a round-off of the answer should be done.

The given answer is $225.757\text{L}$ .

The rounding off is given as:

  $225.757\text{L}\text{=}225.8\text{L}$

d)

Interpretation Introduction

Interpretation : The round-off of each of the answers correctly.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. The significant figures are preserved when numbers are rounded off.

Answer to Problem 59A

The answer in round-off is $92.0\text{m}$ .

Explanation of Solution

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

The significant figures are preserved when numbers are rounded off.

Round the number to three significant figures in the measurement.

If the second digit after the decimal is greater than or equal to 5, then the 1^st digit after the decimal is added up by the number 1. If the second digit after the decimal is lesser than 5, then the 1^st digit is alone taken up.

In the given question, the operations are already performed. Only a round-off of the answer should be done.

The given answer is $92.02375\text{m}$ .

The rounding off is given as:

  $92.02375\text{m}\text{=}92.0\text{m}$

e)

Interpretation Introduction

Interpretation : The round-off of each of the answers correctly.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. The significant figures are preserved when numbers are rounded off.

Answer to Problem 59A

The answer in round-off is $32.4{\text{m}}^3$ .

Explanation of Solution

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

The significant figures are preserved when numbers are rounded off.

Round the number to three significant figures in the measurement.

If the second digit after the decimal is greater than or equal to 5, then the 1^st digit after the decimal is added up by the number 1. If the second digit after the decimal is lesser than 5, then the 1^st digit is alone taken up.

In the given question, the operations are already performed. Only a round-off of the answer should be done.

The given answer is $32.431914{\text{m}}^3$ .

The rounding off is given as:

  $32.431914{\text{m}}^3\text{=}32.4{\text{m}}^3$

f)

Interpretation Introduction

Interpretation : The round-off of each of the answers correctly.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. The significant figures are preserved when numbers are rounded off.

Answer to Problem 59A

The answer in round-off is $104{\text{m}}^3$ .

Explanation of Solution

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

The significant figures are preserved when numbers are rounded off.

Round the number to three significant figures in the measurement.

If the second digit after the decimal is greater than or equal to 5, then the 1^st digit after the decimal is added up by the number 1. If the second digit after the decimal is lesser than 5, then the 1^st digit is alone taken up.

In the given question, the operations are already performed. Only a round-off of the answer should be done.

The given answer is $103.770{\text{m}}^3$ .

The rounding off is given as:

  $103.770{\text{m}}^3\text{=}104{\text{m}}^3$