Multiplication Examples in Math

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

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

Concept Recap

Finding the total when a quantity is repeated a given number of times; the result of repeated addition of equal groups.

If you have 4 bags with 3 apples each, multiplication tells you the total: 4 \times 3.

Read the full concept explanation โ†’

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: Multiplication scales one quantity by another; it is commutative, associative, and distributes over addition.

Common stuck point: Memorizing times tables without understanding: if 6 \times 7 is forgotten, use 6 \times 6 + 6 = 42.

Sense of Study hint: Draw equal groups or an array on paper to see what the multiplication looks like visually.

Worked Examples

Example 1

easy
There are 4 bags and each bag has 3 apples. How many apples are there in all? Use \(a \times b = c\).

Solution

  1. 1
    Repeated addition: \(3 + 3 + 3 + 3 = 12\).
  2. 2
    Write as multiplication: \(4 \times 3 = 12\).
  3. 3
    There are 12 apples in all.

Answer

12 apples
Multiplication is a shortcut for repeated addition. \(4 \times 3\) means 4 groups of 3, which equals 12.

Example 2

medium
A classroom has 6 rows of desks with 7 desks in each row. How many desks are in the classroom?

Practice Problems

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

Example 1

easy
What is \(5 \times 8\)?

Example 2

medium
A store sells eggs in cartons of 12. If you buy 7 cartons, how many eggs do you have?

Background Knowledge

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

additioncounting