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

1 Answer
Feb 4, 2016

Answer:

#(14-:(2+5))xx5=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 #5xx5=25#, then divide #14-:2=7#, then add those to give 32. Much too big.

We know #2xx5=10#, so can we find something to divide #14# by to give #2#? Hmm, #2+5# seems convenient!

#14-:(2+5)xx5=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:

#(14-:(2+5))xx5=10#