Myths about teaching can hold you back
- Year 5
Multiplying and dividing a number by 10, 100 and 1,000 including bridging 1
I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000 including bridging 1
- Year 5
Multiplying and dividing a number by 10, 100 and 1,000 including bridging 1
I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000 including bridging 1
Lesson details
Key learning points
- When a number is divided by 10, 100 or 1,000, the digits move one, two or three places to the right respectively.
- Dividing by 10, 100 or 1,000 is equivalent to multiplying by 0.1, 0.01 or 0.001 respectively.
- Multiplying by 0.1, 0.01 or 0.001 is equivalent to multiplying by one tenth, one hundredth or one thousandth.
- When a number is multiplied 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.
To help you plan your year 5 maths lesson on: Multiplying and dividing a number by 10, 100 and 1,000 including bridging 1, 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 including bridging 1, 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.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match the expressions to their product.
5 × 100 = -
500
5 × 10 = -
50
5 × 1 = -
5
8 × 10 = -
80
8 × 100 = -
800
8 × 1 = -
8
Q2.When a number is divided by one hundred, the digits are moved place value places to the right.
Q3.Use the Gattegno chart to complete the sentence.
1 is times larger than 0.001

Q4.Use the Gattegno chart to complete the sentence.
0.001 is times smaller than 0.1

Q5.Match the division expression to its equivalent multiplication expression.
1 ÷ 100 -
1 × 0.01
0.1 ÷ 100 -
0.1 × 0.01
1 ÷ 10 -
1 × 0.1
0.01 ÷ 10 -
0.01 × 0.1
0.01 ÷ 1 -
0.01 × 1
Q6.Match the equations to their product.
9 × 1,000 = -
9,000
9000 ÷ 1,000 = -
9
4,000 × 0.001 = -
4
4,000 × 0.1 = -
400
4,000 ÷ 100 = -
40
9,000 x 0.01 = -
90
Assessment exit quiz
6 Questions
Q1.One- is one part in one thousand equal parts.
Q2.Match the expression to its answer.
8 ÷ 1,000 = -
0.008
8 × 0.01 = -
0.08
8 ÷ 10 = -
0.8
8 ÷ 1 = -
8