# How do you simplify 6÷2(1+2) using order of operations?

Jan 18, 2016

9

#### Explanation:

Using PEDMAS ie 'order of operations '

Parenthesis ( brackets ) must be done first followed by multiplication then division . Division and Multiplication are of equal precedence.

 rArr 6 ÷ 2 ( 1 + 2 )

= 6 ÷ 2 xx 3

and evaluating from ' left to right' to obtain answer.

$= 3 \times 3 = 9$

Jul 31, 2016

$9$

#### Explanation:

There is only one term, but the bracket needs to be calculated first.

$6 \div 2 \left(1 + 2\right) \text{ becomes } 6 \div 2 \times 3$

Division and multiplication are equally strong, it does not matter which is done first, as long as the division is by 2 and the multiplication is by 3

By the associative law we have:

$\left(6 \div 2\right) \times 3 = \left(6 \times 3\right) \div 2 = 6 \times \left(3 \div 2\right)$

$\Rightarrow 3 \times 3 \text{ "= 18div2" } = 6 \times \frac{3}{2}$

= $9 \text{ "=9" =9}$

This is NOT equal to $6 \div \left(2 \times 3\right)$, which would give 1.