How do you simplify 2[(2*3) +10]div8?

Aug 3, 2016

$4$

Explanation:

Start from the inner bracket. The multiplication did not really need to be in a bracket, because multiplication is done before addition.

$2 \left[\textcolor{red}{\left(2 \times 3\right)} + 10\right] \div 8$

=$2 \left[\textcolor{red}{6} + 10\right] \div 8$

Once we have $\frac{2 \times 16}{8}$, there are many options for simplifying:

= $\frac{2 \times 16}{8} = \frac{2 \times {\cancel{16}}^{2}}{\cancel{8}} = 2 \times 2 = 4$
OR

$\frac{2 \times 16}{8} = \frac{32}{8} = 4$

OR

$\frac{2 \times 16}{8} = \frac{\cancel{2} \times 16}{\cancel{8}} ^ 4 = \frac{16}{4} = 4$