# Does 10cm(squared) converted into millimetres(squared) equal this?

## #1 + 10^3

Jan 31, 2018

It is $\text{multiplication}$, not addition

It should be $1 \times {10}^{3}$

#### Explanation:

${\text{10 cm"^2 = "1000 mm}}^{2}$

In scientific notation, $1000 = {10}^{3}$

So $\text{1000 mm"^2 = 1xx10^3" mm"^2}$

Feb 7, 2018

$10 c {m}^{2} = 1000 m {m}^{2}$

(Multiply by $100$ to convert area from $c {m}^{2} \text{ to } m {m}^{2}$)

#### Explanation:

When you are working with lengths (which is one-dimensional), then:

$1 c m = 10 m m$ and $10 c m = 100 m m$

However, when you are working with area it is two-dimensional.
This means that when you convert from cm to mm you have to do it in BOTH directions, so $\times 10 \mathmr{and} \times 10 = \times {10}^{2}$

From $c {m}^{2}$ to $m {m}^{2}$ you have to multiply by $100$

$10 c {m}^{2} = 10 \times 100 m {m}^{2} = 1000 m {m}^{2}$