Chapter 4.3, Problem 66STP

To determine

To find: the centimeters in one kilometer.

Answer to Problem 66STP

In one kilomerter there is $100000$ centimerters.

Explanation of Solution

Given information:

  $1\text{ meter}={10}^2\text{ centimeter}$

  $1\text{ kilometer}={10}^3\text{ meter}$

Calculation: to find the centimeters in one kilometer, substitute meter by centimeter and use the product of power property and simplify,

  $\begin{array}{l}1\text{ kilometer}={10}^3\text{ meter}\\ \text{1 kilometer}={10}^3·{10}^2\text{ centimeter [}1\text{ meter}={10}^2\text{ centimeter}]\\ \text{1 kilometer}={10}^3{}^{+2}\text{ centimeter [}{a}^m·a^n=a^{m+n}]\\ \text{1 kilometer}={10}^5\text{ centimeter [add]}\\ \text{1 kilometer}=100000\text{ centimeter}\end{array}$

Thus, in one kilometer $100000$ centimeter.