# How do you simplify [42 ÷ (3 +4) - 2] + 5 using order of operations?

Jul 9, 2018

$9$

#### Explanation:

$\left[42 \div \left(3 + 4\right) - 2\right] + 5$

PEMDAS (the order of operations) is shown here:

The first thing to simplify is the expression inside the parenthesis/bracket.

$\left[42 \div 7 - 2\right] + 5$

Divide:
$\left[6 - 2\right] + 5$

Subtract inside the bracket:
$4 + 5$

$9$

Hope this helps!

Jul 10, 2018

$9$

#### Explanation:

The inner parenthesis simplifies to $7$, and we are left with

$\left(42 \div 7 - 2\right) + 5$

Division takes precedence over subtraction, so we divide first to get

$\left(6 - 2\right) + 5$

This simplifies to

$4 + 5$, which is equal to $9$.

Hope this helps!