Question

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

Answer 1

`9`

Explanation:

`[42-:(3+4)-2]+5`

PEMDAS (the order of operations) is shown here:

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

`[42 -: 7 - 2] + 5`

Divide:
`[6 - 2] + 5`

Subtract inside the bracket:
`4 + 5`

Add:
`9`

Hope this helps!

Answer 2

`9`

Explanation:

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

`(42div7-2)+5`

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

`(6-2)+5`

This simplifies to

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

Hope this helps!