# What is 2m+7m?

Aug 18, 2015

$2 m + 5 m = 7 m$

#### Explanation:

$2 m$ means ($2 \times m$)
One way to think of this is having
$\textcolor{w h i t e}{\text{XXXX}}$2 rows each with the same number of monkeys
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$(we're not sure of the exact number of monkeys in each row,
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$but we can see that there are the same number
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$and for convenience we will call this number $m$)

Similarly $5 m$ means ($5 \times m$)
And we can think of this in the same terms as $2 m$
$\textcolor{w h i t e}{\text{XXXX}}$5 rows each with the same number of monkeys (and the same number of monkeys as in the 2 rows)

If we add 2 rows of monkeys and 5 rows of monkeys
we get 7 rows of monkeys (each row with $m$ monkeys)

We can write this in symbols as
$\textcolor{w h i t e}{\text{XXXX}}$$2 m + 5 m = 7 m$