Chapter 2.6, Problem 24P

Copy and complete each statement.

62 in. = ______ $m$

To determine

To fill the blank in given statements:

“ $62\text{ inch}=\underset{\_}{}\text{meters}$ ”

Answer to Problem 24P

  $62\text{ inch}=\underset{\_}{\text{ 1}\text{.5748 }}\text{meters}$

Explanation of Solution

Given:

“ $62\text{ inch}=\underset{\_}{}\text{meters}$ ”

Concept Used:

• One inch is equals to 2.54 centimeters
• One meter is equals to 100 centimeters.

Calculation:

In order to fill the given blank:

“ $62\text{ inch}=\underset{\_}{}\text{meters}$ ”

First convert given inches in centimeters.

Since, one inch is equals to 2.54 centimeters, thus

  $\begin{array}{c}62\text{ inch}=\text{62}\times \text{2}\text{.54 centimeters}\\ =157.48\text{ centimeters}\end{array}$

Now, one meter is equals to 100 centimeter, thus

  $\begin{array}{c}1\text{ centimeters}=\frac{1}{100}\text{ meters}\\ =0.01\text{ meters}\end{array}$

Thus, to convert centimeters in meter multiply the centimeters by 0.01.

  $\begin{array}{c}157.48\text{ centimeters}=157.48\times 0.01\text{ meters}\\ =1.5748\text{ meters}\end{array}$

Thus, the blank in given statement is filled by 1.5748, as

  $62\text{ inch}=\underset{\_}{\text{ 1}\text{.5748 }}\text{meters}$