
Nathan B. answered 03/17/15
Tutor
5
(20)
Elementary and Algebraic skilled
m is a variable, which means it can be any possible number.
This means m could be a 5, or a 7, or a 15.
This means it could look like:
5 + 5 + 5, or
7 + 7 + 7, or
15 + 15 + 15
Let's try adding them up:
5 + 5 + 5 = 15
7 + 7 + 7 = 21
15 + 15 + 15 = 45
15 + 15 + 15 = 45
Note that you are adding each number three times. You have three 5s, three 7s, and three 15s in each of our examples. That is:
3 * 5 = 15
3 * 7 = 21
3 * 15 = 45
this correlates into m + m + m being the same as 3 * m, which shorthanded becomes 3m.