Integers Examples in Math

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Integers.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

The set of whole numbers extended in both directions: positive whole numbers, their negatives, and zero.

Temperature can go above or below zero—integers include both directions.

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Extending counting numbers to include negatives creates a complete number line.

Common stuck point: Negative numbers feel abstract until connected to real contexts.

Sense of Study hint: Draw a number line with zero in the middle and think of real examples: debt, temperature below zero, or floors underground.

Worked Examples

Example 1

easy
Evaluate (-8) + 15 + (-3).

Solution

  1. 1
    Group the positive and negative terms: positives = 15, negatives = (-8) + (-3) = -11.
  2. 2
    Combine: 15 + (-11) = 15 - 11 = 4.
  3. 3
    The result is 4.

Answer

4
When adding integers, group the positives and negatives separately, then find the difference. The sign of the result matches the group with the larger absolute value.

Example 2

medium
Evaluate (-6) \times 4 \div (-3).

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
Evaluate (-12) - (-5) + 3.

Example 2

easy
Evaluate (-18) \div 3 + 7.
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Background Knowledge

These ideas may be useful before you work through the harder examples.

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