Order of Operations with Integers

Order of Operations With Integers

by Cory Johnston

Multiple Choice

Pick the correct sequence of steps for Order of Operations:

• Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

• Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

• Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

• Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

Multiple Choice

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

• Subtraction

• Division

• Multiplication

• Addition

Fill in the Blank

$$10+5\times\left(9-4\right)$$  

Multiple Choice

Simplify the following:  
-8 + (15 - 3) ÷ 4

• -5
• 1
• -11
• 11

Fill in the Blank

$$\left(-7\right)\times\left(-4\right)+2$$  

Multiple Choice

8 - 30 + 25

• 47
• -47
• 3

Fill in the Blank

$$\left(\left(-8\right)+2\right)\times\left(5\div\left(-5\right)\right)$$  

Multiple Choice

Solve the following:  
8 + (-4) ÷ 4

• -7
• 1
• -1
• 7

Fill in the Blank

$$\left(\left(-7\right)+\left(-9\right)-8\right)\div\left(-8\right)$$  

Multiple Choice

-3(-5) - 16

• -8
• 24
• -24
• -1

Fill in the Blank

$$\left(\left(-3\right)\ +9\right)\times\left(\left(-10\right)-\left(-9\right)\right)$$  

Multiple Choice

Solve the following:
3 + 27 ÷ (-3)

• -6
• -10
• 10
• -12

Fill in the Blank

$$(-10)\times2\ -(-7)^2$$  

Multiple Choice

2 + (9² - 4)

• 16
• 77
• 79

Multiple Choice

-56 ÷ (-7) - (-3)

• 5
• 11
• -5

Fill in the Blank

$$6\ \times5+(-4)^2$$  

Multiple Choice

Solve the following:
-2 ⋅ (3 + 8 ÷ 4)²

• -16
• 1.375
• 4
• -50

Multiple Choice

-4(-1 + 8)

• -36
• 28
• -28

Fill in the Blank

$$8-5\times4^2$$  

Multiple Choice

Solve the following:
5 - 6² ÷ 4 - 3

• 1
• -10.75
• -31
• -7

Multiple Choice

4 + [5² + (-4 - 1)] ÷ 10

• 2.4
• 4
• 6
• 7

Fill in the Blank

$$3\times\left(9+\left(-8\right)\right)^2$$  

Multiple Choice

10 x (-5) + (-6)²

• 56
• 72
• -72
• -14

Multiple Choice

(-7) - 3²

• 21
• 63
• -16
• -62

Fill in the Blank

$$6\times\left(\left(-7\right)+2-9\right)$$