Year 4 - Maths
Explain the relationship between multiplying a number by 100 and multiples of 100
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 the relationship between multiplying a number by 100 and multiples of 100.
Key Notes
- 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.
Vocabulary To Learn
- 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 Mistakes To Avoid
- Pupils may start talking of 'adding 2 zeros' to multiply by 100
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
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.
2. Use this key word in a maths sentence and explain it clearly. 'Multiple'
A multiple is the result of multiplying a number by 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: Pupils may start talking of 'adding 2 zeros' to multiply by 100. Correction: 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.
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 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.