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Operations with Integers

Add, subtract, multiply, and divide positive and negative integers.

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Operations with Integers

Adding Integers

Same signs: Add absolute values, keep the sign. 5+3=8(−5)+(−3)=−85 + 3 = 8 \qquad (-5) + (-3) = -8

Different signs: Subtract absolute values, keep the sign of the larger absolute value. 5+(−3)=2(−5)+3=−25 + (-3) = 2 \qquad (-5) + 3 = -2

Subtracting Integers

Change to addition: Add the opposite of the second number. a−b=a+(−b)a - b = a + (-b)

Examples: 7−10=7+(−10)=−37 - 10 = 7 + (-10) = -3 −4−3=−4+(−3)=−7-4 - 3 = -4 + (-3) = -7 −2−(−6)=−2+6=4-2 - (-6) = -2 + 6 = 4

Multiplying Integers

SignsResult
(+)(+)(+)(+)Positive
(−)(−)(-)(-)Positive
(+)(−)(+)(-)Negative
(−)(+)(-)(+)Negative

Same signs → positive, different signs → negative

(−3)(−4)=12(−3)(4)=−12(-3)(-4) = 12 \qquad (-3)(4) = -12

Dividing Integers

Same rules as multiplication: (−12)÷(−3)=4(−12)÷3=−4(-12) \div (-3) = 4 \qquad (-12) \div 3 = -4

Order of Operations with Integers

Follow PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

−3+4×(−2)=−3+(−8)=−11-3 + 4 \times (-2) = -3 + (-8) = -11

Tip: "Two negatives make a positive" only applies to multiplication and division, NOT addition!

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Integers and the Number Line

❓ Frequently Asked Questions

What is Operations with Integers?▾
Add, subtract, multiply, and divide positive and negative integers.
How can I study Operations with Integers effectively?▾
Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Regular review and active practice are key to retention.
Is this Operations with Integers study guide free?▾
Yes — all study notes, flashcards, and practice problems for Operations with Integers on Study Mondo are free to access. No account is needed.
What course covers Operations with Integers?▾
Operations with Integers is part of the Grade 6 Math course on Study Mondo, specifically in the The Number System section. You can explore the full course for more related topics and practice resources.