Explain how to multiply and divide a number by 10, 100 and 1,000
Lesson details
Learning outcome
I can explain how to multiply and divide a number by 10, 100 and 1,000
Key learning points
- When you multiply by 10, 100 or 1,000, the digits move one, two or three places to the left respectively.
- When you divide by 10, 100 or 1,000, the digits move one, two or three places to the right respectively.
Keywords
Tenth - One-tenth is one part in ten equal parts.
Hundredth - One-hundredth is one part in one hundred equal parts.
Thousandth - One-thousandth is one part in one thousand equal parts.
Common misconception
Children may 'add' a zero when multiplying or vice versa when dividing. Children may place a zero at the end of the decimal fraction when multiplying, or vice versa when dividing.
When we 'add' zero, the value of the number does not change. When we multiply or divide by a power of 10, we need to move all the digits the appropriate spaces to the left/right even if this means bridging one and moving into the decimal places.
Teacher tip
Use Base 10 blocks, place value charts and Gattegno charts throughout to support where appropriate.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Look at the Gattegno chart. Which number is being represented?
Q2.Match the expressions to their product.
900
90
9
20
200
0
Q3.When a number is multiplied by one hundred, the digits are moved __________ place value places to the left.
Q4.Match the equations to their product.
7,000
7
5
500
50
30
Q5.Sofia is thinking of a number. Her number is ten times the size of 0.4 What is her number?
Q6.Lucas is thinking of a number. His number is one hundredth times the size of 8 What is his number?
Assessment exit quiz
6 Questions
Q1.When we multiply 0.95 by 100, what is the new value of the 9 digit?
Q2.1.04 × 10 =
Q3.0.03 ÷ 10 = .
Q4.Match the expression to its product.
7.2
720
48.2
482
9.1
91
Q5.Sofia buys an apple every day. If one apple costs £0.35, how much has she spent after 10 days?
Q6.Lucas’ mum has £5,042 and she gives one-hundredth of this to Lucas for his birthday. How much money does she give him?
To help you plan your 5 maths lesson on: Explain how to multiply and divide 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 5 maths lesson on: Explain how to multiply and divide a number by 10, 100 and 1,000, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Calculating with decimal fractions unit, dive into the full primary maths curriculum, or learn more about lesson planning.