Year 4 - Maths
Understand that multiplying by 10 makes a number ten 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 multiplying by 10 makes a number ten times the size.
Key Notes
- Finding ten times as many is the same as multiplying by 10
- 10 is ten times the size of 1
- A digit in the tens column is 10 times the value of a digit in the ones column.
Vocabulary To Learn
- Scaling: Scaling is when a given quantity is made ___ times the size.
- Multiple: A multiple is the product of a number and an integer.
Common Mistakes To Avoid
- 10 times the size and 10 times as many are achieved through the same operation but they are different.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Finding ten times as many is the same as multiplying by 10. 10 is ten times the size of 1.
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: 10 times the size and 10 times as many are achieved through the same operation but they are different. Correction: Use sticky-tack or plasticine. Create 10 blobs that are equal in length to 1 blob that has been stretched. Encourage the children to see that the value of their length is the same but one is made of countable objects whereas the other is stretched.
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 dividing a number by 10 makes it one-tenth 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.