Understand that dividing a number by 10 makes it one-tenth times the size | Maths

Starter quiz

What is the missing factor in the equation? ______ × 10 = 60
- '6' ✓
What is the missing product in the equation? 32 × 10 = ______
- '320' ✓
Match the numbers with those that are ten times their size.
- 4
  
  ⇔
  
  40 ✓
- 12
  
  ⇔
  
  120 ✓
- 36
  
  ⇔
  
  360 ✓
- 23
  
  ⇔
  
  230 ✓
What is ten times the size of the number being represented by Base 10 blocks?
- '340' ✓
What is ten times the size of the number being represented in the place value chart?
- '470' ✓
What is ten times the size of the number being represented using place value counters?
- '540' ✓

Exit quiz

What is one tenth times the size of 40?
- '4' ✓
The Base 10 blocks represent a number. What is one tenth times the size of the number shown?
- '5' ✓
Match the numbers to the numbers that are one tenth times the size.
- 60
  
  ⇔
  
  6 ✓
- 80
  
  ⇔
  
  8 ✓
- 20
  
  ⇔
  
  2 ✓
- 120
  
  ⇔
  
  12 ✓
What is the missing number in the following equation? 9 = ______ ÷ 10
- '90' ✓
What is the missing number in the following equation? 16 = ______ ÷ 10
- '160' ✓
True or false: To find one tenth times the size, divide by ten.
- True ✓
- False

Worksheet

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Presentation

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Lesson Details

Key learning points

1 is ten times smaller than 10 or one tenth the size.
Dividing by ten makes the number ten times smaller or one tenth the size.
Dividing by ten is the inverse of multiplying by ten.

Common misconception

One-tenth times the size may be a confusing phrase to use because pupils are used to seeing an increase when using '___ times as many'.

Ensure that children understand that a one is one-tenth times the size of a ten. Base 10 is an excellent resource for this. Then gradually increase the ones and the corresponding tens.

Keywords

Scaling - Scaling is when a given quantity is made ___ times the size.
Inverse - Inverse means the opposite in effect or the reverse of.