# How do you convert 100 cm to meters?

Jul 31, 2018

Well, what do we mean by $\text{cm}$?

#### Explanation:

The prefix $\text{c "-=" centi}$, i.e. ${10}^{-} 2$...

And thus $1 \cdot c m \equiv 1 \times {10}^{-} 2 \times m \equiv 0.01 \cdot m$...i.e. a 100th of a metre.

And likewise...the prefix $\text{m "-=" milli}$, i.e. ${10}^{-} 3$...

$1 \cdot m m \equiv 1 \times {10}^{-} 3 \times m \equiv 0.001 \cdot m$...i.e. a 1000th of a metre.

And so $100 \cdot c m \equiv 100 \times {10}^{-} 2 \cdot m = {10}^{2} \times {10}^{-} 2 \cdot m = 1 \cdot m$ precisely...

Got all that...?

Jul 31, 2018

1 metre

#### Explanation:

There are 100 cm in a metre.

To convert $c m \to m$ divide by 100

To convert $m \to c m$ multiply by 100

We have 100 cm so divide by 100 and this is 1 metre