# What is (7- 3) \div ( - 5+ 5+ | - 6\cdot - 1| - 2)?

Sep 24, 2016

(7-3)-:(-5+5+|-6*-1|-2))=1

#### Explanation:

We have to solve operations in the order of PEMDAS i.e. first Parentheses, then Exponents, then multiplication, division, addition and subtraction in that order. But when we have a set of parentheses within another, we should solve internal parentheses first. Hence

(7-3)-:(-5+5+|-6*-1|-2))

= $4 \div \left(- 5 + 5 + 6 - 2\right)$

(Here $- 6 \times - 1 = 6$ as when we multiply two negative numbers, the result is positive.)

= $4 \div 4 = 1$

Note while $- 5 + 5$ cancel our, $6 - 2$ is $4$