Question

How many meters are equal to 3,736 centimeters? Use how the placement of the decimal point changes when dividing by a power of 10 to help you.

Answer 1

37.36 meters are equal to 3,736 centimeters.

Explanation:

We have that 1 meter is equal to 100 centimeters, so if we want to convert 3,736 cm to m we need to divide by 100:

`x = 3,736 cm*(1 m)/(100 cm) = 3,736 cm*(1 m)/(10^(2) cm)`

When we divide a number by a power of 10, we move the decimal point to the left as many places as the power indicates.

Since we are dividing by 10², we need to move the decimal point two places to the left, as follows:

`x = 3,736 cm*(1 m)/(10^(2) cm) = 37.36 m`

Hence, 37.36 meters are equal to 3,736 centimeters.

I hope it helps you!