Order of Operations/GEMDAS Test Prep

4 x 7 - 16 + 8 =

• 4

• 18

• 9

• 20

What do you do when you have two sets of parentheses?

• Whichever one you feel like working out first, the order doesn't matter, and you'll still get the same answer.

• The one that exponents or multiplication in it.

• The first one you see in the problem, left to right.

• The one that has adding or subtracting in it.

 $6^2$  Solve this exponent.

• 12

• 8

• 30

• 36

(4 + 8 x 4) + ( $2^2$  x 3 - 8) 
What is the very first step you should do in this expression?

• 4 + 8

•  $2^2$  

• 8 x 4
  

• 3 - 8

When you have a division problem before a multiplication problem, which step should you do first?

• Do the multiplication problem first, because multiplication always comes before division, no matter what.

• Do the division problem first, since they are on the same step, you do the first one you come to in the question.

6 x 4 - 10 + 8

24 - 10 + 8

24 - 18

6

Where is the mistake in this solved expression?

• 6 X 4 is not 24, so that changes everything afterwards.

• 10 + 8 was solved first, but 24 - 10 should have been first.

• 24 - 18 is not 6.

• 6 x 4 was not solved first like it should have been.

21  $\div$  7  x  6  +  $5^2$  =

• 43

• 49

• 15

• 128

Grouping (parentheses, brackets, braces), Exponents, Multiplication OR Division (left to right), and Addition OR Subtraction (left to right)

Why are multiplication & division, as well as addition & subtraction grouped together in steps with each other?

• This is when you do whichever one comes first in the expression, because they are inverse/opposite operations to each other

• It was probably just a typing mistake.

• You always do multiplication before division, and you always do addition before subtraction, so I'm not sure why they are together.

Addition should always be solved before subtraction.

• True

• False

GROUPING Symbols

( ) Parentheses

[ ] Brackets

{ } Braces

• Always do the work that is in these first.

• Always do the work that is in these last.

• Every expression will always have one set of these.