New
New
Year 4

Use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10

I can use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10

New
New
Year 4

Use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10

I can use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10

Lesson details

Key learning points

  1. Dividing by ten moves all the digits one column to the right making them one tenth times the size.
  2. If you divide a multiple of 10 by ten, the numbers move one place to the right and the zero in the ones disappears.
  3. The zero only disappears if you are dividing a multiple of 10 by ten.

Common misconception

Many pupils believe that 'subtracting zero' is dividing 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 see that it's not subtracting 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.

Make mistakes in the place value yourself whilst modelling and get the children to spot this. They will enjoy pointing out your mistakes. It helps them to firm up their error-spotting skills and consolidates their understanding.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
What is the missing factor in the following equation? × 10 = 540
Correct Answer: 54
Q2.
What is the missing factor in the following equation? × 10 = 630
Correct Answer: 63
Q3.
Match the numbers with those that are ten times their size.
Correct Answer:3,30

30

Correct Answer:58,580

580

Correct Answer:71,710

710

Correct Answer:82,820

820

Q4.
Match the numbers to the numbers that are one tenth times the size.
Correct Answer:30,3

3

Correct Answer:90,9

9

Correct Answer:70,7

7

Correct Answer:60,6

6

Q5.
What is the missing number in the following equation? 11 = ÷ 10
Correct Answer: 110
Q6.
What is the missing number in the following equation? 14 = ÷ 10
Correct Answer: 140

6 Questions

Q1.
What happens to the value of digits as they move right, down the place value columns as shown in the image.
An image in a quiz
Correct answer: They become one tenth times the size.
They become ten times the size.
Q2.
What equation is being represented by the place value counters shown here?
An image in a quiz
3 × 10 = 30
Correct answer: 30 ÷ 10 = 3
Q3.
What equation is being represented by the place value counters shown here?
An image in a quiz
13 × 10 = 130
Correct answer: 130 ÷ 10 = 13
Q4.
What is the missing number in the following equation? 91 = ÷ 10
Correct Answer: 910
Q5.
What is the equation being represented in the place value chart showing before and after?
An image in a quiz
230 × 1 = 230
23 × 10 = 230
5 × 5 = 25
Correct answer: 230 ÷ 10 = 23
Q6.
True or false: To divide by ten, you just take away zero.
True
Correct answer: False