Transcript Document

Order of Operations
1.
What is the correct order of operations?
a) Addition and subtraction, multiplication and division, exponents, and
parentheses.
b) Multiplication and division, addition and subtraction, parentheses, and
exponents.
c) Parentheses, exponents, addition and subtraction, multiplication and
division.
d) Parentheses, exponents, multiplication and division, addition and
subtraction.
O
2.
What does the order of operations tell you?
a) How to perform mathematical operations
b) How to solve problems with exponents.
c) The order in which complicated equations should be solved.
d) How many operations to perform.
O
In the problems (5 x 8) + 32(7), which step should you perform last?
a) Elevate three to the second power c) Multiply five times eight
b) Multiply nine times seven
d) Add 40 to 63
Explain: (5 x 8) + 32(7) (Parentheses) → 40 + 32(7) (Exponents) →
3.
O
40 + 9(7) (Multiplication) →
40 + 63 (Addition) →
103
4.
What is the solution to 3 + 3(0) = ?
a) 9
b) 0
Oc) 3
Explain: 3 + 3(0) (Multiplication) → 3 + 0 (Addition) →
5.
What step comes first to solve 18 ÷ 2 – 5 + 7 – 12?
a) 7 -12
b) 2 – 5
c) 18 ÷ 2
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d) 6
3
d) 5 + 7
Explain: 18 ÷ 2 – 5 + 7 – 12 (Division) → 9 – 5 + 7 – 12 (Add. & Sub. from L to R) →
4 + 7 – 12 (Add. & Sub. from L to R) →
11 – 12 (Add. & Sub. from L to R) →
–1
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In the following problem, which step should you perform first?
(5 x 4) + 32 - 2
a) Subtract two from nine
c) Elevate three to the power of two
b) Subtract two from three
d) Multiply five times four
O
Explain: (5 x 4) + 32 – 2 (Parentheses) → 20 + 32 – 2 (Exponents) →
20 + 9 – 2 (Add. & Sub. from L to R) → 29 – 2 (Add. & Sub. from L to R) →
•
What is the solution to (2 – 1)(4 – 2) + 9?
a) 7
b) 12
c) 9
d) 11
Explain: (2 - 1)(4 – 2) + 9 (Parentheses) → (1)(2) + 9 (Multiplication) →
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2 + 9 (Add. & Sub. from L to R) →
11
27
In the problem 83 - 10 x 5 - 4, which step should you perform first?
a) Subtract ten from eight
c) Multiply ten times five
b) Subtract four from five
d) Elevate eight to the power of three
Explain: 83 – 10 x 5 – 4 (Exponents) →
512 – 10 x 5 – 4 (Multiplication) →
512 – 50 – 4 (Add. & Sub. from L to R) → 462 – 4 (Add. & Sub. from L to R) →
458
8.
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What is the solution to (4 ÷ 2)4 + (1 + 3)?
a) 2
b) 12
c) 8
d) 14
Explain: (4 ÷ 2)4 + (1 + 3) (Parentheses) → (2)4 + 4 (Multiplication) →
8 + 4 (Add. & Sub. from L to R) →
12
9.
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Solve the following problem: (22 + 8) x 7
a) 36
b) 60
c) 84
Explain: (22 + 8) x 7 (Parentheses, Exponents) →
12 x 7 (Multiplication) →
10.
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d) 107
(4 + 8) x 7 (Parentheses) →
84
3 + 6 x (5 + 4) ÷ 3 - 7
a) 20
b) 14
c) 53
(d) 5
Explain: 3 + 6 x (5 + 4) ÷ 3 – 7 (Parentheses) →
3 + 6 x 9 ÷ 3 – 7 (Multi. & Div. from L to R) →
3 + 54 ÷ 3 – 7 (Division) →
3 + 18 – 7 (Add. & Sub. from L to R) →
14
21 – 7 (Sub.)→
11.
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9 - 5 ÷ (8 - 3) x 2 + 6
a) 9
b) 12
c) 10.5
Explain: 9 – 5 ÷ (8 – 3 ) x 2 + 6 (Parentheses) →
12.
Od) 13
9 – 5 ÷ 5 x 2 + 6 (Multi. & Div. from L to R) →
9 – 1 x 2 + 6 (Multi. & Div. from L to R) →
9 – 1 x 2 + 6 (Multi. & Div. from L to R) →
7 + 6 (Add.)→
13
13.
9 – 2 + 6 (Add. & Sub. from L to R) →
150 ÷ (6 + 3 x 8) - 5
a) 83
b) 0
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c) 2
d) 12.5
Explain: 150 ÷ (6 + 3 x 8) – 5 (Parentheses) → 150 ÷ (6 + 24) – 5 (Parentheses) →
150 ÷ 30 – 5 (Multi & Div. from L to R) →
14.
9 + 6 x (8 - 5)
a) 45
Ob) 27
Explain: 9 + 6 x (8 – 5) (Parentheses) →
9 + 18 (Add.) →
15.
(14 – 5) ÷ (9 – 6)
a) -5
b) 12
Explain: (14 – 5) ÷ (9 – 6) (Parentheses) →
5 – 5 (Sub.) →
c) 115
0
d) 52
9 + 6 x 3 (Multiplication) →
27
Oc) 3
9 ÷ 3 (Div.) →
d) 2
3
16.
5 x 8 + 6 ÷ 6 - 12 x 2
a) 58
b) 17
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c) 34
d) 128
Explain: 5 x 8 + 6 ÷ 6 – 12 x 2 (Multi. & Div. from L to R) →
41 – 24 (Sub.) →
40 + 1 – 24 (Add. & Sub. from L to R) →
17.
8 + (2 x 5) x 32 ÷ 9
a) 50
b) 108
17
Od) 18
c) 34
Explain: 8 + (2 x 5) x 32 ÷ 9 (Parentheses) →
8 + 10 x 32 ÷ 9 (Exponents) →
8 + 10 x 9 ÷ 9 (Multi. & Div. from L to R) →
8 + 10 (Addition) →
8 + 90 ÷ 9(Division) →
18.
15 x 22 + 150
a) 1050
b) 2310
Explain: 15 x 22 + 150 (Exponents) →
60 + 150 (Addition) →
18
Oc) 210
d) 180
15 x 4 + 150 (Multiplication) →
210
19.
3 x (5 + 3)2 – 144
a) 180
b) -102
Explain: 3 x (5 + 3)2 - 144 (Parentheses) →
3 x 64 - 144 (Multiplication) →
Oc) 48
d) -120
3 x 82 - 144 (Exponents) →
192 - 144 (Subtraction) →
48
20.
9 + 3 x 22 ÷ 3
a) 16
Ob) 13
c) 11
d) 7
Explain: 9 + 3 x 22 ÷ 3 (Exponents) →
9 + 3 x 4 ÷ 3 (Multi. & Div. from L to R) →
9 + 12 ÷ 3 (Division) →
9 + 4 (Addition) →
13