01 Key Concepts
Positive and Negative Integers
Whole numbers can be positive (1,2,3...), negative (-1,-2,-3...), or zero — together, these make up the integers.
Adding Integers
Same signs: add the numbers and keep the sign. Different signs: subtract the smaller absolute value from the larger, and keep the sign of the larger.
Subtracting Integers
Subtracting a number is the same as adding its opposite: a - b = a + (-b).
Multiplying and Dividing Integers
Same signs give a positive result; different signs give a negative result.
Number Line Representation
Integers can be visualized on a number line, with positive numbers to the right of zero and negative numbers to the left.
02 Key Formulas
- a - b = a + (-b)
03 Solved Examples
Example 1 Evaluate -5 + 8.
- Different signs: subtract the smaller absolute value (5) from the larger (8).
- 8 - 5 = 3.
- The result takes the sign of the larger absolute value (8, which is positive).
Answer: 3
Example 2 Evaluate -7 - 4.
- Rewrite as adding the opposite: -7 + (-4).
- Same signs (both negative): add the numbers and keep the sign.
- 7 + 4 = 11, negative.
Answer: -11
Example 3 Evaluate (-3) x (-6).
- Same signs (both negative) give a positive result.
- 3 x 6.
Answer: 18
04 Practice Questions
1Evaluate -4 + 9.
5
2Evaluate 6 - 10.
-4
3Evaluate -3 x 5.
-15
4Evaluate -12 / -4.
3
5Evaluate -8 - (-3).
-5
📄 Integers — Downloadable Worksheet
10 questions with a full answer key. Grab the PDF to print, or try the interactive version in your browser.