Use place value to explain placing a zero after the final digit when we multiply whole numbers by 10 | Maths

Starter quiz

What number is being represented using the Base 10 blocks?
- '130' ✓
What number is being represented in the place value chart?
- '59' ✓
What number is being represented using the place value counters?
- '43' ✓
What number is being represented using Base 10 blocks?
- '152' ✓
What number is being represented in the place value chart?
- '234' ✓
What number is being represented using the place value counters?
- '233' ✓

Exit quiz

What is the missing factor in the equation? ______ × 10 = 80
- '8' ✓
What is the missing product in the equation? 56 × 10 = ______
- '560' ✓
What is the missing factor in the equation? ______ × 10 = 350
- '35' ✓
A number is shown using Base 10 blocks. What was multiplied by 10 to create this representation?
- '14' ✓
What is the equation being represented in the place value chart showing before and after?
- 230 × 1 = 230
- 23 × 10 = 230 ✓
- 5 × 5 = 25
- 230 ÷ 10 = 23
True or false: To multiply a whole number by ten, just add 0
- True
- False ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

Multiples of 10 have a zero in the ones column.
A digit in the tens column is 10 times the value of a digit in the ones column.
Multiplying by ten moves all the digits one column to the left making them ten times the size.
When a number is multiplied by ten the product is a multiple of ten.

Common misconception

Many pupils believe that 'adding zero' is multiplying by 10 which can lead to difficulties later on when they are introduced to decimal numbers.

Don't dismiss it. It's a pattern that has been spotted and generalised. Do encourage the children to work with physical resources that don't involve the numbers themselves so they can understand that it isn't adding zero but changing place value.

Keywords

Placeholder - A placeholder is where we use the digit zero to hold a place in a number and maintain place value.
Magnitude - The magnitude of a number is its distance from zero.