Explain the relationship between multiplying a number by 100 and multiples of 100
Lesson details
Learning outcome
I can explain the relationship between multiplying a number by 100 and multiples of 100
Key learning points
- Finding one hundred times as many is the same as multiplying by 100
- When a number is multiplied by one hundred the product is a multiple of one hundred.
- Multiples of 100 have zero in the tens and ones column.
- Multiplying by one hundred moves all the digits two columns to the left making the digits one hundred times the size.
Keywords
Multiple - A multiple is the result of multiplying a number by another whole number.
Digit - A digit is one of the symbols of a number system. In our number system we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9
Placeholder - A placeholder is where we use the digit zero to hold a place in a number and maintain place value.
Common misconception
Pupils may start talking of 'adding 2 zeros' to multiply by 100
Don't dismiss this as it is disguising an understanding of a pattern but reassure the pupils that this will be explained later through place value discussions in the coming lessons.
Teacher tip
Use countable objects here. If you don't have anything that comes in 100s, then label some opaque boxes or jars accordingly. Ensure that children use the correct language of placeholders to describe what is happening when multiplying by 100
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What number is being shown on the Gattegno chart?
Q2.What is twice the size of 120?
Q3.Which of these numbers is a multiple of 10?
Q4.What is the missing number in the following equation? 23 = ÷ 10
Q5.Packs of pencils contain 10 pencils. There are 11 packs. Which equation shows how many pencils there are?
Q6.True or false: To find one-tenth times the size, divide by ten.
Assessment exit quiz
6 Questions
Q1.What is the missing factor in the equation?
× 100 = 800
Q2.All multiples of one hundred have both a tens and ones digit of zero. True or False?
Q3.Jars of marbles contain 100 marbles altogether. There are 4 jars in the classroom. Which equation shows how many marbles are in the classroom altogether?
Q4.Tick the numbers that are multiples of 100
Q5.Tick the numbers that are multiples of 100
Q6.True or false: All multiples of one-hundred have a digit greater than zero in the hundreds.
To help you plan your 4 maths lesson on: Explain the relationship between multiplying a number by 100 and multiples of 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 relationship between multiplying a number by 100 and multiples of 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.