Explain the removal of placeholders when dividing whole numbers by 100
Lesson details
Learning outcome
I can use place value to explain removing the final 2 zeros from a multiple of 100 when we divide by 100
Key learning points
- Dividing by one hundred moves all the digits two columns to the right making them one hundredth times the size.
- Multiples of 100 have zero in the tens and ones column.
- If you divide a multiple of 100 by 100, digits move two places right and the zeros in the ones and tens disappear.
Keywords
Scaling - Scaling is when a given quantity is made ___ times the size.
Inverse - Inverse means the opposite in effect. The reverse of.
Magnitude - A placeholder is where we use the digit zero to hold a place in a number and maintain place value.
Placeholder - The magnitude of a number is its distance from zero.
Common misconception
Many pupils believe that 'subtracting 2 zeros' is dividing by 100 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 2 zeros 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 inverse operation of multiplication?
Q2.Which of the following expression would undo multiplying a number by 100?
Q3.Match the numbers to the numbers that are one-tenth times the size.
8
4
3
11
Q4.What is the missing number in the following equation? 7 = ÷ 10
Q5.What is the missing number in the following equation? 27 = ÷ 10
Q6.True or false: If you divide a number by 10 it becomes one-tenth the size.
Assessment exit quiz
6 Questions
Q1.What is the missing operation and number in the image shown?
Q2.What is the missing operation and number in the image shown?
Q3.What is one-hundredth times the size of 800?
Q4.What is one-hundredth times the size of 5,600?
Q5.Which of the following describes the movement of digits on a place value chart when multiple of 100 is divided by 100
Q6.True or false? To divide a multiple of 100 by 100 you subtract two zeros.
To help you plan your 4 maths lesson on: Explain the removal of placeholders when dividing whole numbers by 100, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Explain the removal of placeholders when dividing whole numbers by 100, 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.