Explain how a factor of zero or one affects the product | Maths

Starter quiz

Look at the number sequence: ___, 5, 10 What is the previous multiple of 5?

0 ✓

1

4
Look at the number sequence: ___, 10, 20 What is the previous multiple of 10?

0 ✓

8

9
Look at the image which shows plates. Select the equation the image represents about the number of sweets you can see.

2 × 0 ✓

2 × 1

2 × 2
Look at the image. Select the equation the expression which represents the number of cupcakes.

2 × 0

2 × 1 ✓

2 × 2
Use the image to fill in the gap in the equation: 6 × 5 = ______ × 10

'3' ✓
Which group of sticker sheets has most stickers?

2 pages of 10 stickers

10 pages of 10 stickers ✓

5 pages of 10 stickers

Exit quiz

Look at the expressions: 0 × 5 and 5 × 0 Which picture matches these expressions?
Look at the equations: 1 × 6 = 6 and 6 × 1 = 6 Select the statements that are true for these expressions.

The factors are the same. ✓

The products are different.

The products are the same. ✓

When a factor is 1, the product is equal to the other factor. ✓
Match the expressions to the correct product.

0 × 1

⇔

0 ✓

1 × 1

⇔

1 ✓

1 × 0

⇔

0 ✓

0 × 2

⇔

0 ✓

2 × 1

⇔

2 ✓
Using what you know about 0 as a factor, what is 16 × 0 = ______

'0' ✓
In this puzzle, the numbers are multiplied as shown in the middle. What is the missing number?

1

7

8 ✓

13
In this puzzle, the numbers are multiplied as shown in the middle. What can we say about the missing number?

The missing number can only be 0

The missing number is less than 10

The missing number can be any number. ✓

The missing number is greater than 7

Worksheet

Loading worksheet ...

Presentation

Loading presentation ...

Video

Lesson Details

Key learning points

When zero is a factor, the product is zero.
The product of __ and zero is zero.
The product of zero and __ is zero.
When one of two factors is 1, the product is equal to the other factor.

Common misconception

Children may have the misconception that multiplying always makes the number bigger and therefore 0 cannot be a product.

Remind children that 0 groups of something is equal to zero. You can show this practically using groups of zero. When a factor is 1 the product is the other factor.

Keywords

Zero - Zero is the number that represents no amount or objects.
Product - A product is the result of two or more numbers multiplied together.