Week 8, Math 56/58 PEM/DA/S (Order of Operations)

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1

(12 - 8)^2 - 3 x 5

commutative property of multiplication

numbers multiplied in any ORDER to get the same product

P stands for what in P E M/D A/S ?

parentheses ( ) [ ] { } − (also curly/hard brackets, and the line in a fraction)

S stands for what?

subtraction

12 + (3 - 2) + 1 What do you do first?

(3 - 2)

16

(5 + 3) x 2

7

(5^2 + 3) / 4

3

1 + 1 x 2

31

10 + 3(8-1)

4

18 - 4 x 3 - 2

14

2 + 8 / 2 x 3

2

2 x 5 - 16 / 2

5

20 - 5(4-1)

7

20 / 5 x 2 -1

15

3 + 2 x 4 + 4

4(4) - 2(5) What do you do first?

4 x 4

11

5 + 3 x 2

21

5 + 4(10-6)

14 + 5 ∗ 9 What do you do first?

5 ∗ 9

2

6 - 2 x 2

8

7 + 4 / 4

22 - 7 ∗ 2 What do you do first?

7 x 2

8

8 + 12 / 4 - 3

P-E-M-D-A-S also stands for ?

Please Excuse My Dear Aunt Sally

A stands for what?

addition

associative property of multiplication

allows you to regroup numbers and use variables using pararenthesis and not affect the product in any way

D stands for what?

division

E stands for what in PEMDAS?

exponents (and roots)

M stands for what?

multiplication

commutative property of addition

the ORDER of the addends (numbers being added together) does not change the sum

associative property of addition

the grouping of addends using parenthesis doesn't affect their sum (unlike addition, subtraction is NOT associative)

identity property of multiplication

the product of any number and 1 is equal to the original number

zero product property of multiplication

the product of any number and zero is zero

inverse property of addition

the sum of a number and its opposite is 0

identity property of addition

the sum of any number and zero is the original number


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