Question

Identify which is greater: $0.1\text{kilometer}$ or $10,000\text{centimeters}$

• A. Both are equal.
• B. 10,000 centimeters
• C. 0.1 kilometer

Answer 1

The correct option is A Both are equal.

We have to compare centimeter with kilometer.

Let's convert both centimeter and kilometer into the base unit, i.e., meter.

Kilometer to meter conversion

$1\text{kilometer}=1\times 1,000\text{meters}$
$\Rightarrow 0.1\text{kilometer}=0.1\times 1,000\text{meters}$
$\Rightarrow 0.1\text{kilometer}=100\text{meters}$

Centimeter to meter conversion

$1\text{centimeter}=\frac{1}{100}\text{meter}$
$\Rightarrow 10,000\text{centimeters}=\frac{10,000}{100}\text{meter}$
$\Rightarrow 10,000\text{centimeters}=100\text{meters}$

$\therefore 0.1\text{kilometer}=100\text{meters}=10,000\text{centimeters}$

Hence, both are equal.