Question

Jane has her height measured using a metric ruler as 1.6 meters. She would like to know her height in inches. She knows that there are 100 centmeters in a meter and 2.54 centimeters in an inch. Use these facts to find jane's height to the nearest inch. Show the work that leads to your answer.

Answer 1

Answer:

Jane's height is 63 inches.

Step-by-step explanation:

Given:

Jane has her height measured using a metric ruler as 1.6 meters. She would like to know her height in inches. She knows that there are 100 centimeters in a meter and 2.54 centimeters in an inch.

Now, to find jane's height to the nearest inch.

The height of Jane measured using metric ruler = 1.6 meters.

As, 1 meter = 100 centimeters.

So, by using conversion factor we convert the height of Jane into centimeters from meters:

$1.6\ meter=1.6\times 100$

               $=160\ centimeters.$

Height of Jane in centimeters = 160.

As given, 2.54 centimeters in an inch.

Now, we convert the centimeters by using unitary method:

If, 2.54 centimeters = 1 inch.

Then, 1 centimeters =  $\frac{1}{2.54} \ inch$

So, 160 centimeters = $\frac{1}{2.54}\times 160$

$=\frac{160}{2.54}$

$=62.99\ inches.$

Thus, the height nearest to inch = 63 inches.

Therefore, Jane's height is 63 inches.