Order of Operations with Integers Worksheet

There are five sets of integer operation worksheets:
Adding Integers
Subtracting Integers
Multiplying Integers
Dividing Integers
Order of Operations with Integers

Examples, solutions, videos, and worksheets to help Grade 6 students learn how to perform order of operations (PEMDAS) with integers.

How to perform order of operation (PEMDAS) with integers?

There are three sets of order of operation with integers worksheets:

• Order of Operations (+, -, ×, ÷)
• Order of Operations (+, -, ×, ÷, parenthesis)
• Order of Operations (+, -, ×, ÷, parenthesis, exponents)

The order of operations, often referred to as PEMDAS or BODMAS, is a rule that helps determine the sequence in which mathematical operations should be performed to evaluate an expression involving integers.

This is the order to evaluate an expression (PEMDAS rule):

• Parentheses: Perform operations within parentheses first. If there are nested parentheses, start from the innermost and work your way outwards. Be careful not confuse this with the parentheses that are used for negative integers.
• Exponents: Evaluate any exponents or powers next. Raise the base to the given exponent.
• Multiplication and Division: Perform multiplication and division from left to right. If there are multiple multiplication or division operations, evaluate them in the order they appear.
• Addition and Subtraction: Finally, perform addition and subtraction from left to right. Evaluate them in the order they appear.

 

Example: Evaluate (-3) × (-10) + (-48) ÷ (-4)

1. Since there are no parentheses or exponents, we will perform the multiplication first:
   (-3) × (-10) = 30
2. Next, we will perform the division:
   (-48) ÷ (-4) = 12
3. Then, perform the addition: 30 + 12 = 42
   We can write the evaluation like this
   (-3) × (-10) + (-48) ÷ (-4)
   = 30 + (-48) ÷ (-4)
   = 30 + 12
   = 42
   

Example: (-10) - ((-16) ÷ (-8))³ × (-3)

1. Perform the operation in the parenthesis:
   ((-16) ÷ (-8)) = 2
2. Perform the exponent 2³ = 8
3. Perform the multiplication 8 × (-3) = -24
4. Perform the subtraction: (-10) - (-24) = 14
   We can write the evaluation like this
   (-10) - ((-16) ÷ (-8))³ × (-3) = (-10) - 2³ × (-3)
   = (-10) - 8 × (-3)
   = (-10) - (-24)
   = 14

Have a look at this video if you need to review order of operations with integers.

• Order of Operations with Integers

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Order of Operations with Integers Worksheets.

 

More Order of Operations with Integers Worksheets

Printable
(Answers on the second page.)
Divide Integers Worksheet #1 (+, -, ×, ÷)
Divide Integers Worksheet #2 (+, -, ×, ÷, parenthesis)
Divide Integers Worksheet #3 (+, -, ×, ÷, parenthesis, exponents)

Online or Interactive
Integers, 1 less or 1 more
Compare Integers

Add Integers, 2 operands
Add Integers, 3 or more operands

Subtract 2 Integers
Subtract 3 or more Integers

Multiply Integers
Divide Integers

Generated
Divide Integers (1 digit divisor)
Divide Integers (2 digit divisor)

Mixed Operations On Integers

Free Integer Games
Compare Integers	Integer Operations	Order of Operations
Add Integers	Subtract Integers	Integer Arithmetic
Multiply Integers	Divide Integers

 

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