How do you evaluate #7( 7+ 5\cdot 1) + 4( 1+ 6)#?

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Answer 1 · 2018-03-08T20:54:52

Begin by evaluating the expressions inside the parentheses.

We have

#7(7+5⋅1)+4(1+6)#

When there are parentheses, always work from the inside out.

Here, you need to do the multiplication first, then the addition. Doing this, we get:

#7(7+5)+4(7)#, then

#7(12)+4(7)#, which gives us

#84 + 28#.

Lastly, #84 + 28 = 112#.

When doing arithmetic, the order of operations you need to follow is:

Parentheses first
then Exponents
then Multiplication and Division
lastly, Addition and Subtraction.

An abbreviation for the order of operations is PEMDAS :

A way to remember it is

Please Excuse My Dear Aunt Sally.