The relationship between multiplying by 0.01 and dividing by 100
Lesson details
Learning outcome
I can explain the relationship between multiplying by 0.01 and dividing by 100
Key learning points
- 0.01 can be represented as the fraction 1/100
- Multiplying by 0.01 is the same as multiplying by 1/100
- Multiplying by 1/100 is the same as dividing by 100
- Multiplying by 0.01 is the same as dividing by 100
Keywords
Hundredth - A hundredth is one part in 100 equal parts.
Common misconception
Children may struggle to make the connection between multiplying by 0.01 and dividing by 100
When we multiply by 0.01, it is the same as multiplying by one-hundredth. When we multiply by a unit fraction, we can divide by the denominator - in this case, 100
Teacher tip
Real-life exposure to the relationship between one-hundredth and its whole - showing the children that 100 equal parts are needed to make the whole. Children should be secure with multiplying and dividing by 100 to avoid cognitive overload.
Licence
except where otherwise stated. See Oak's terms & conditions (Collection 2).Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.There are centimetres in one metre.
Q2.Match the expression to its answer.
300
210
400
2,100
3,700
370
Q3.Match the expression to its answer.
1
3
30
9
90
47
Q4.If 13,570 is divided by 100, which digit would be in the ones place after the division?
Q5.Lucas has 6,500 marbles. He packs them equally into 100 bags. How many marbles are in each bag? marbles.
Q6.Sofia has 2,300 cm of ribbon. She cuts it into 100 equal pieces. What is the length of each piece? cm
Assessment exit quiz
6 Questions
Q1.One hundredth of 800 kg = kg
Q2.One hundredth of 340 ml = ml
Q3.One hundredth of 32 m = m
Q4.Match the equation to its answer.
900
90
9
0.9
0.09
Q5.Lucas measures the length of a stick to be 43 cm. What is the length of the stick in metres? m
Q6.The mass of a large box is 12 kg. The mass of a smaller box is one-hundredth times the mass. What is the mass of the smaller box? Give your answer in kg. kg
To help you plan your 5 maths lesson on: The relationship between multiplying by 0.01 and dividing by 100, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 5 maths lesson on: The relationship between multiplying by 0.01 and dividing 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.
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