PEMDAS
Exponents
Approaching
Meeting
Above
100
In order of operations, what do you look to solve first in an expression?
What is inside parentheses
100
53
125
100
(5 - 3) + 12 x 4
50
100
#4 on Study Guide
2 + (23 – 2) ÷ 3
4
100
# 7 on Study Guide
Where would parenthesis go to make this number sentence true?
11 - 7 ÷ 2 = 2
(11 - 7) ÷ 2 = 2
200
Following the order of operations, multiplication/division are looked for at the same time. How do I know which to solve first?
(It's the same for addition/subtraction, too!)
You solve in order as you read the expression from left to right.
200
23
8
200
7 x 8 - (3 x 2)
50
200
#5 on Study Guide
140 – 23 ⦁ (19 - 3)
12
200
#7 on Study Guide
Add parenthesis to make the number sentence true.
1 + 2 x 15 - 4 = 33
(1 + 2) x (15 - 4) = 33
300
Evaluate the expression.
48 - 4 + 12 ÷ 3
48
300
104
10,000
300
#1 on Study Guide
16 + 36 ÷ 12
19
300
#6 on Study Guide (first two expressions)
Are these equivalent?
9 + 3 x 5 – 4
8 + 3³ – 5 x 3
Yes
300
What is the mistake this person made?
100 – 10 x 8 + 40 ÷ 5 x (5-3)
100 – 10 x 8 + 40 ÷ 5 x (2)
100 – 80 + 40 ÷ 5 x (2)
100 – 80 + 40 ÷ 10
100 – 80 + 4
20 + 4
24
This person multiplied 5 times 2 before dividing 40 by 5.
400
14 + 8 ÷ 2 x 8 - 7
39
400
142
196
400
#2 on Study Guide
35 x 2 + 42 ÷ 2
91
400
#6 on Study Guide (third & fourth expressions)
Are these equivalent?
12 ÷ 4 + 8 x 2
6 + 5 x 2 – 2
No
400
Where would you need to place parentheses to make this equal to 20?
36 - 1 ÷ 3 + 2 + 13
*Hint: There can be two sets of parentheses.*
(36 - 1) ÷ (3 + 2) + 13
500
(34 + 98) - 45 + 13 - 2
98
500
65
7,776
500
#3 on Study Guide
9 ÷ 3 + 8 – 5 x 2
1
500
#6 on Study Guide (last two expressions)
Are these equivalent?
6 + (7 – 1) + (4 x 2)
(4 + 1)² + 10
No
500
Where would parentheses need to go to make this expression equal 12?
24 - 6 x 2 ÷ 9 ÷ 3
*Hint, there can be more than one set of parentheses*
(24 - 6) x 2 ÷ (9 ÷ 3)