Year 5 - Maths
Multiply hundredths by whole numbers
Calculating with decimal fractions
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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 effect of multiplying and dividing a number by 10, 100 and 1,000 and use their knowledge of multiplying decimal fractions by whole numbers to solve measures problems.
Lesson Summary
You will learn to use known multiplication facts and unitising to multiply hundredths by whole numbers.
Key Notes
- There are one hundred hundredths in one whole.
- There are ten hundredths in one tenth.
- Unitising can help to multiply hundredths by whole numbers.
- The sentence: ___ times ___ ones is equal to ___ ones so ___ times ___ hundredths is equal to ___ hundredths supports us
Vocabulary To Learn
- Hundredth: One hundredth is one part in one hundred equal parts.
Common Mistakes To Avoid
- Children may get confused with the vocabulary when we say, for example, zero point one two rather than zero point twelve. They may also confuse how we write, for example, 32 hundredths.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
There are one hundred hundredths in one whole. There are ten hundredths in one tenth.
2. Use this key word in a maths sentence and explain it clearly. 'Hundredth'
One hundredth is one part in one hundred equal parts. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children may get confused with the vocabulary when we say, for example, zero point one two rather than zero point twelve. They may also confuse how we write, for example, 32 hundredths. Correction: We say zero point one two to show that there is one tenth and two hundredths. 32 hundredths is composed of 30 hundredths - this is the same as 3 tenths and we have 2 more hundredths so 32 hundredths is written 0.32.
More Lessons In This Unit
- Converting units of length Study Guide
- Converting units of mass and capacity Study Guide
- Divide decimal fractions by 1-digit numbers Study Guide
- Divide decimal fractions by 1-digit numbers using written methods Study Guide
- Explain how to multiply and divide a number by 10, 100 and 1,000 Study Guide
- Multiply 1-digit numbers by decimal fractions using written methods Study Guide
- Multiply 1-digit numbers by decimals Study Guide
- Multiply tenths by whole numbers Study Guide
- Multiplying and dividing a number by 10, 100 and 1,000 Study Guide
- Multiplying and dividing a number by 10, 100 and 1,000 including bridging 1 Study Guide
- Predicting the size of a product Study Guide
- Solve measures problems using knowledge of multiplying decimal fractions Study Guide
- The relationship between multiplying by 0.01 and dividing by 100 Study Guide
- The relationship between multiplying by 0.1 and dividing by 10 Study Guide
Browse all guides in the Year 5 Maths guide library.