ORDER OF OPERATIONS WITH INTEGERS WORKSHEET
Simplify.
Problem 1 :
42 ÷ -6 + 5
Solution:
|
Evaluation = 42 ÷ -6 + 5 = -7 + 5 = -2 |
Operation Division Subtraction Result |
Problem 2 :
-64 ÷ 4(2 - 6)
Solution:
|
Evaluation = -64 ÷ 4(2 - 6) = -64 ÷ 4(-4) = -64 ÷ -16 = 4 |
Operation Parenthesis Multiplication Division Result |
Problem 3 :
4(-12 + 6) ÷ 3
Solution:
|
Evaluation = 4(-12 + 6) ÷ 3 = 4(-6) ÷ 3 = -24 ÷ 3 = -8 |
Operation Parenthesis Multiplication Division Result |
Problem 4 :
-122 ÷ 4 - 3 × 24
Solution:
|
Evaluation = -122 ÷ 4 - 3 × 24 = -144 ÷ 4 - 3 × 16 = -144 ÷ 4 - 48 = -36 - 48 = -84 |
Operation Exponents Multiplication Division Addition Result |
Problem 5 :
62 + -14 ÷ 2 - (-8)
Solution:
|
Evaluation = 62 + -14 ÷ 2 - (-8) = 36 + -14 ÷ 2 + 8 = 36 + -7 + 8 = 44 - 7 = 37 |
Operation Exponent Division Addition Subtraction Result |
Problem 6 :
9 ÷ 3 + 7 × 4 ÷ 2
Solution:
|
Evaluation = 9 ÷ 3 + 7 × 4 ÷ 2 = 9 ÷ 3 + 28 ÷ 2 = 3 + 14 = 17 |
Operation Multiplication Division Addition Result |
Problem 7 :
12 ÷ 6 + 52 × 3
Solution:
|
Evaluation = 12 ÷ 6 + 52 × 3 = 12 ÷ 6 + 25 × 3 = 12 ÷ 6 + 75 = 2 + 75 = 77 |
Operation Exponent Multiplication Division Addition Result |
Problem 8 :
-4(1 + 5)2 ÷ 6 - (42 + 5)
Solution:
|
Evaluation = -4(1 + 5)2 ÷ 6 - (42 + 5) = -4(6)2 ÷ 6 - 47 = -4(36) ÷ 6 - 47 = -144 ÷ 6 - 47 = -24 - 47 = 71 |
Operation Parenthesis Exponent Multiplication Division Addition Result |
Problem 9 :
Using integers, write an expression that shows the meaning of these words. Then evaluate each expression.
a. The difference of negative thirteen and eight multiplied by the square of two.
b. Half of the sum of six and three then divided by seven.
Solution:
a. (-13 - 8) × 22
|
Evaluation = (-13 - 8) × 22 = -21 × 22 = -21 × 4 = -84 |
Operation Parenthesis Exponent Multiplication Result |
b. 1/2(6 + 3) ÷ 7
|
Evaluation = 1/2(6 + 3) ÷ 7 = 1/2(9) ÷ 7 = 0.642 |
Operation Parenthesis Division Result |
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