Question

Simplify the numerical expression given below.
$3\times \left[\right\{180÷(6÷5)\}\times (6+8)+7]$

Answer 1

1. First, simplify the terms in the innermost parentheses first, as per the order of operations, MDAS.
2. Simplify the terms in the square brackets next, as per the order of operations, MDAS.
3. Simplify multiplication or division, whichever appears first from left to right, followed by addition or
subtraction, whichever appears first from left to right.

$3\times \left[\right\{180÷\left(\underset{–}{6\times 5}\right)\}\times (6+8)+7]$
$=3\times \left[\right\{180÷30\}\times (\underset{–}{6+8})+7]$
$=3\times \left[\right\{\underset{–}{180÷30}\}\times 14+7]$
$=3\times [\underset{–}{6\times 14}+7]$
$=3\times \left[\underset{–}{84+7}\right]$
$=\underset{–}{3\times 91}$
$=273$