# How do you add parentheses so that the equation 14-:2+5times5=10 will be correct?

Feb 4, 2016

$\left(14 \div \left(2 + 5\right)\right) \times 5 = 10$

#### Explanation:

We need to find a way to do an order of operations that makes the left side of the equation equal 10.

As it is, without parentheses, we would first multiply to get $5 \times 5 = 25$, then divide $14 \div 2 = 7$, then add those to give 32. Much too big.

We know $2 \times 5 = 10$, so can we find something to divide $14$ by to give $2$? Hmm, $2 + 5$ seems convenient!

$14 \div \left(2 + 5\right) \times 5 = 10$

This way, though, we would still do the multiplication first, which would give is 14-:35, which is still not 10. We need to signal that the division should be done first with some more parentheses:

$\left(14 \div \left(2 + 5\right)\right) \times 5 = 10$