Year 4 - Maths
Explain how making a factor 10 times the size affects the product
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 explain how making a factor 10 times the size affects the product.
Key Notes
- If one factor is made ten times the size, the product will be ten times the size.
- One factor has been multiplied by 10 so the product is multiplied by 10
- When multiplying two numbers, if either factor is made 10 times the size, the product will be 10 times the size.
- 6 multiplied by 30 is equal to 60 multiplied by 3 or 6 tens multiplied by 3
Vocabulary To Learn
- Factor: A factor is a number which exactly divides another whole number.
- Product: A product is the result of two or more numbers multiplied together.
Common Mistakes To Avoid
- Place value counters don't have proportionality in the same way that Base 10 does which can make the concepts here more abstract.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If one factor is made ten times the size, the product will be ten times the size. One factor has been multiplied by 10 so the product is multiplied by 10.
2. Use this key word in a maths sentence and explain it clearly. 'Factor'
A factor is a number which exactly divides another whole number. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Place value counters don't have proportionality in the same way that Base 10 does which can make the concepts here more abstract. Correction: Smaller multiplications can be used with Base 10 to model scaling to start off with. Try 2 × 1 or 3 × 1 scaling up to become 2 × 10 or 3 × 10 with Base 10 and then put this modelling side-by-side with place value counters to make the links.
More Lessons In This Unit
- 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
- 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.