# How do you simplify 7(5 - 2) + 4 ÷ 2 times 2 +1 using order of operations?

Nov 14, 2015

Use PEMDAS (with caution!!!)

#### Explanation:

$7 \left(5 - 2\right) + \frac{4}{2} \cdot 2 + 1$

NOTE: this is NOT the same as
$7 \left(5 - 2\right) + \frac{4}{2 \cdot 2} + 1$

In order of getting the second expression, you would have to write it like this:
7(5−2)+4÷(2×2)+1

PEMDAS is a little bit misleading, because you actually have to multiply and divide at the same time (if there's not a set of parentheses). It would be wrong to divide 4 by (2*2), since there was not originally a set or parentheses there.

This gives you:

$7 \left(5 - 2\right) + \frac{4}{2} \cdot 2 + 1$
$7 \cdot \left(3\right) + \frac{4}{\cancel{2}} \cdot \cancel{2} + 1$
$21 + 4 + 1 = 26$