Chapter 3.1, Problem 8SP

a)

Interpretation Introduction

Interpretation : Each problem is to be solved and to be expressed in a significant figure.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power. The known digits plus the last, estimated digit make up the significant figures in a measurement.

Answer to Problem 8SP

The answer is $7.92\times {10}^1\text{m}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given problem is $61.2\text{m}\text{+}9.35\text{m}\text{+}\text{8}\text{.6}\text{m}$ .

Add on the numbers.

  $\begin{array}{l}61.20\text{m}\\ 09.35\text{m}\\ \text{+}\text{08}\text{.60}\text{m}\\ -----\\ 79.15\text{m}\\ -----\\ \end{array}$

The answer should be expressed in a significant figure.

So, the answer is $7.92\times {10}^1\text{m}$ .

b)

Interpretation Introduction

Interpretation : Each problem is to be solved and to be expressed in a significant figure.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power. The known digits plus the last, estimated digit make up the significant figures in a measurement.

Answer to Problem 8SP

The answer is $7.33\text{m}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given problem is $9.44\text{m}-2.11\text{m}$ .

Subtract the numbers.

  $\begin{array}{l}9.44\text{m}\\ -2.11\text{m}\\ -----\\ 7.33\text{m}\\ -----\\ \end{array}$

The answer should be expressed in a significant figure.

So, the answer is $7.33\text{m}$ .

c)

Interpretation Introduction

Interpretation : Each problem is to be solved and to be expressed in a significant figure.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power. The known digits plus the last, estimated digit make up the significant figures in a measurement.

Answer to Problem 8SP

The answer is $1.2\times {10}^1\text{m}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given problem is $1.36\text{m}\text{+}10.17\text{m}$ .

Add on the numbers.

  $\begin{array}{l}01.36\text{m}\\ +10.17\text{m}\\ -----\\ 11.53\text{m}\\ -----\\ \end{array}$

The answer should be expressed in a significant figure.

So, the answer is $1.2\times {10}^1\text{m}$ .

d)

Interpretation Introduction

Interpretation : Each problem is to be solved and to be expressed in a significant figure.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power. The known digits plus the last, estimated digit make up the significant figures in a measurement.

Answer to Problem 8SP

The answer is $1.7\times {10}^1\text{m}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given problem is $34.61\text{m}-17.30\text{m}$ .

Subtract the numbers.

  $\begin{array}{l}34.61\text{m}\\ -17.30\text{m}\\ -----\\ 17.3\text{m}\\ -----\\ \end{array}$

The answer should be expressed in a significant figure.

So, the answer is $1.7\times {10}^1\text{m}$ .