Use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10
Lesson details
Learning outcome
I can use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10
Key learning points
- Dividing by ten moves all the digits one column to the right making them one tenth times the size.
- If you divide a multiple of 10 by ten, the numbers move one place to the right and the zero in the ones disappears.
- The zero only disappears if you are dividing a multiple of 10 by ten.
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.
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.
Teacher tip
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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What is the missing factor in the following equation? × 10 = 540
Q2.What is the missing factor in the following equation? × 10 = 630
Q3.Match the numbers with those that are ten times their size.
30
580
710
820
Q4.Match the numbers to the numbers that are one tenth times the size.
3
9
7
6
Q5.What is the missing number in the following equation?
11 = ÷ 10
Q6.What is the missing number in the following equation?
14 = ÷ 10
Assessment exit quiz
6 Questions
Q1.What happens to the value of digits as they move right, down the place value columns as shown in the image.
Q2.What equation is being represented by the place value counters shown here?
Q3.What equation is being represented by the place value counters shown here?
Q4.What is the missing number in the following equation?
91 = ÷ 10
Q5.What is the equation being represented in the place value chart showing before and after?
Q6.True or false: To divide by ten, you just take away zero.
To help you plan your 4 maths lesson on: Use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10, 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 Understand what happens when a number is multiplied or divided by 10 and 100 unit, dive into the full primary maths curriculum, or learn more about lesson planning.