Multiplying and dividing a number by 10, 100 and 1,000
I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000
Multiplying and dividing a number by 10, 100 and 1,000
I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000
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Lesson details
Key learning points
- To multiply a number by 1,000 move the digits three places to the left - this makes the number 1,000 times the size.
- To divide a number by 1,000 move the digits three places to the right - this makes the numbers 1,000th times the size.
- A place value chart can be used to explain how the digits move when you multiply or divide by 10, 100 and 1,000.
- Use a Gattengo chart can be used to explain how the digits move when you multiply divide by 10, 100 and 1,000.
- Dividing by 10, 100 or 1,000 is equivalent to multiplying by 0.1, 0.01 or 0.001 respectively.
Keywords
Thousandth - One-thousandth is one part in one thousand equal parts.
Equivalent - If something is equivalent, it has the same value. For example, £1 is equivalent to 100 p - they have the same value.
Common misconception
Children may confuse use of the Base 10 equipment. They may also confuse the equivalence between dividing by 10/100/1,000 and multiplying by 0.1/0.01/0.001.
The large cube now represents one whole. The smaller blocks represent decimal fraction numbers. Use stem sentences to support common mistakes: when a number is divided by ___, it is the same as multiplying by ___
To help you plan your year 5 maths lesson on: Multiplying and dividing a number by 10, 100 and 1,000, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 5 maths lesson on: Multiplying and dividing a number by 10, 100 and 1,000, download all teaching resources for free and adapt to suit your pupils' needs.
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Explore more key stage 2 maths lessons from the Calculating with decimal fractions unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
50
600
80
800
40
500
6,000
8
80
5
Exit quiz
6 Questions
1 × 0.1
0.1 × 0.1
1 × 0.001
0.01 × 0.01
0.1 × 1
5,000
5
6
500
60
50