Year 9 - Maths
Checking and securing understanding of multiples of 10
Standard form
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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 learn to recognise, interpret and write in standard form. Pupils then extend this knowledge so that they can order numbers written in standard form.
Lesson Summary
You will learn to factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals.
Key Notes
- Factorising multiples of 10 can scale the calculation to easier values.
- It is important to consider place value so answers are scaled back correctly when multiplying.
- Equivalent fractions can be used to simplify division.
Vocabulary To Learn
- Exponential form: When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
- Commutative: An operation is commutative if the values it is operating on can be written in either order without changing the calculation.
Common Mistakes To Avoid
- There are many ways to multiply decimals or large numbers. With decimals, some pupils choose to multiply decimals using the column method and incorrectly use a decimal point when calculating answers.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Factorising multiples of 10 can scale the calculation to easier values. It is important to consider place value so answers are scaled back correctly when multiplying.
2. Use this key word in a maths sentence and explain it clearly. 'Exponential form'
When a number is multiplied by itself multiple times, it can be written more simply in exponential form. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: There are many ways to multiply decimals or large numbers. With decimals, some pupils choose to multiply decimals using the column method and incorrectly use a decimal point when calculating answers. Correction: When multiplying decimals, converting the calculation using integers and powers of 10 makes the calculation easier to work with.
More Lessons In This Unit
- Checking and further securing understanding of the commutative law Study Guide
- Multiples of 10 involving negative exponents Study Guide
- Ordering numbers in standard form Study Guide
- Problem solving with standard form Study Guide
- Writing large numbers in standard form Study Guide
- Writing small numbers in standard form Study Guide
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