How do you simplify #124- 3\times ( 7+ 5^ { 2} )#?

1 Answer
Acquaintance
Nov 21, 2016

Follow order of operations to get #28#.

Explanation:

Order of Operations:
P arentheses
E xponents
M ulitplication
D ivision
A ddition
S ubtraction

Lets start from the top of the list and work out way down.

#124-3*(7+5^2)#

We see parentheses! Now we must simplify what's inside of them. We also see exponents. Let's simplify the exponents, and then finish simplifying inside the parentheses:

#124-3*(7+25)#

#124-3*(32)#

Now, moving down the list, we come across parentheses. Be careful, we are multiplying #-3 times 32#:

#124 + (-96)#

#124 - 96#

Now subtract!

#28#

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