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