# How do you simplify [ (5+2) -3] 4?

Apr 13, 2016

16

#### Explanation:

Consider $\left(5 + 2\right)$. The brackets are grouping these numbers separately from the rest. Thus they may be considered as 1 number that has been partitioned (split into parts). Logically we would combine them again before we do anything else giving:

$\textcolor{b r o w n}{\left[\left(\textcolor{b l u e}{5 + 2}\right) - 3\right] 4 = \left[\textcolor{b l u e}{7} - 3\right] 4}$

Now we have another number that is partitioned. Work out the value inside the brackets
$\textcolor{b r o w n}{\left[\textcolor{b l u e}{7 - 3}\right] 4 = \left[\textcolor{b l u e}{4}\right] 4}$

But $\left[4\right] 4$ another way of saying $\text{ } 4 \times 4 = 16$