Year 4 - Maths
Understand that dividing a number by 10 makes it one-tenth times the size
Understand what happens when a number is multiplied or divided by 10 and 100
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will explain the relationship between multiplying and dividing a number by 10 and multiples of 10.
Lesson Summary
You will learn to understand that dividing a number by 10 makes it ten times smaller or one tenth the size.
Key Notes
- 1 is ten times smaller than 10 or one tenth the size.
- Dividing by ten makes the number ten times smaller or one tenth the size.
- Dividing by ten is the inverse of multiplying by ten.
Vocabulary To Learn
- Scaling: Scaling is when a given quantity is made ___ times the size.
- Inverse: Inverse means the opposite in effect or the reverse of.
Common Mistakes To Avoid
- One-tenth times the size may be a confusing phrase to use because pupils are used to seeing an increase when using '___ times as many'.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
1 is ten times smaller than 10 or one tenth the size. Dividing by ten makes the number ten times smaller or one tenth the size.
2. Use this key word in a maths sentence and explain it clearly. 'Scaling'
Scaling is when a given quantity is made ___ times the size. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: One-tenth times the size may be a confusing phrase to use because pupils are used to seeing an increase when using '___ times as many'. Correction: Ensure that children understand that a one is one-tenth times the size of a ten. Base 10 is an excellent resource for this. Then gradually increase the ones and the corresponding tens.
More Lessons In This Unit
- Explain how making a factor 10 times the size affects the product Study Guide
- Explain how making a factor 100 times the size affects the product Study Guide
- Explain how making the dividend 10 times the size affects the quotient Study Guide
- Explain how making the dividend 100 times the size affects the quotient Study Guide
- Explain the relationship between multiplying a number by 10 and multiples of 10 Study Guide
- Explain the relationship between multiplying a number by 100 and multiples of 100 Study Guide
- Explain the removal of placeholders when dividing whole numbers by 100 Study Guide
- Explain the use of placeholders when multiplying whole numbers by 100 Study Guide
- Scale division facts derived from multiplication facts by 100 Study Guide
- Scale known multiplication facts by 100 Study Guide
- Understand that multiplying by 10 makes a number ten times the size Study Guide
- Use knowledge of the composition of 100 to multiply and divide by 100 in different ways Study Guide
- Use place value to explain placing a zero after the final digit when we multiply whole numbers by 10 Study Guide
- Use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10 Study Guide
Browse all guides in the Year 4 Maths guide library.