Introduction to Multiplication

Common Core Standards:
3.OA.A.1: Interpret products of whole numbers
3.OA.A.3: Use multiplication within 100 to solve word problems
3.OA.C.7: Fluently multiply within 100
Name: _______________________ Date: _______________________ Score: _______ / 17

๐Ÿ“– What is Multiplication?

Multiplication is a faster way to add the same number many times. Instead of writing
3 + 3 + 3 + 3, we can write 4 ร— 3, which means "4 groups of 3".

The multiplication symbol (ร—) means "groups of". When we see 4 ร— 3, we read it as
"four times three" or "four groups of three". The answer is called the product.

Think of multiplication like this: If you have 4 bags and each bag has 3 apples,
how many apples do you have in total? You have 4 ร— 3 = 12 apples!

The two numbers we multiply are called factors. In 4 ร— 3 = 12, both 4 and 3 are factors,
and 12 is the product.

๐Ÿ’ก Worked Examples

Study these examples carefully before starting the practice questions.

Example 1

Problem: 3 ร— 4 = ?

๐ŸŸฆ๐ŸŸฆ๐ŸŸฆ๐ŸŸฆ ๐ŸŸฆ๐ŸŸฆ๐ŸŸฆ๐ŸŸฆ ๐ŸŸฆ๐ŸŸฆ๐ŸŸฆ๐ŸŸฆ

This means 3 groups of 4

  1. We can think of this as: 4 + 4 + 4
  2. Let's add: 4 + 4 = 8
  3. Then: 8 + 4 = 12
  4. So 3 ร— 4 = 12

Answer: 12

Example 2

Problem: A farmer has 5 baskets. Each basket has 3 eggs. How many eggs does the farmer have?

๐Ÿงบ(3) ๐Ÿงบ(3) ๐Ÿงบ(3) ๐Ÿงบ(3) ๐Ÿงบ(3)

This is a multiplication word problem

  1. We have 5 baskets
  2. Each basket has 3 eggs
  3. We need to find: 5 ร— 3
  4. 5 ร— 3 = 3 + 3 + 3 + 3 + 3 = 15

Answer: 15 eggs

Example 3

Problem: 2 ร— 5 = ?

โญโญโญโญโญ โญโญโญโญโญ

This means 2 groups of 5

  1. We have 2 groups
  2. Each group has 5 items
  3. 2 ร— 5 = 5 + 5
  4. 5 + 5 = 10
  5. So 2 ร— 5 = 10

Answer: 10

โœ๏ธ Practice Questions

Solve each problem. Show your work in the space provided.

1. 4 ร— 7 = ___
2. 4 ร— 9 = ___
3. 4 ร— 3 = ___
4. 3 ร— 7 = ___
5. 5 ร— 6 = ___
6. 5 ร— 5 = ___
7. 4 ร— 10 = ___
8. 4 ร— 6 = ___
9. 4 ร— 8 = ___
10. 5 ร— 8 = ___
11. Write 4 ร— 3 as repeated addition and find the answer.
12. Write 2 ร— 3 as repeated addition and find the answer.
13. Write 2 ร— 4 as repeated addition and find the answer.
14. A baker made 3 trays of cookies. Each tray has 6 cookies. How many cookies did the baker make?
15. There are 4 boxes. Each box has 5 crayons. How many crayons are there in total?
16. There are 5 flowers in each vase. There are 6 vases. How many flowers are there?
17. A baker made 2 trays of cookies. Each tray has 6 cookies. How many cookies did the baker make?