# How can the addition of a parenthesis be used to increase the value of the following expression?: 4-3/2^2+3*2+5

Mar 8, 2018

Put parenthesis around the $2 + 5$ This way the addition must be done before the multiplication

#### Explanation:

$4 - \frac{3}{2} ^ 2 + 3 \times 2 + 5 = 4 - \frac{3}{2} ^ 2 + 6 + 5 = 4 - \frac{3}{2} ^ 2 + 11$

$4 - \frac{3}{2} ^ 2 + 3 \times \left(2 + 5\right) = 4 - \frac{3}{2} ^ 2 + 3 \times 10 = 4 - \frac{3}{2} ^ + 30$

$30 > 11$ so adding the parenthesis around the 2+5 increases the value of the expression.

( Note there are also probably other ways of adding parenthesis to increase the value but this way works. )