Year 6 - Maths
Subtract multiples of powers of 10 crossing the millions boundary
Order, compare and calculate with numbers up to 8 digits
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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 use representations to identify and explain patterns in powers of 10 and read numbers with up to 7 digits efficiently. They will order and compare numbers with up to 8 digits and calculate with numbers of this scale.
Lesson Summary
You will learn to subtract multiples of powers of 10 crossing the millions boundary.
Key Notes
- Powers of 10 and their multiples can be subtracted using the language of unitising.
- Known facts can be used alongside unitising to subtract powers of 10 and their multiples.
- Subtraction of powers of 10 and their multiples can be represented on a number line.
Vocabulary To Learn
- Million: One million is composed of one thousand thousands. 1,000 × 1,000 = 1,000,000 We write one million as a one followed by six zeros.
- Unitise: When we unitise, we treat groups that contain, or represent, the same numbers of things as 'units' or 'ones'.
- Power of 10: A power of 10 is when 10 is multiplied by itself a certain number of times.
Common Mistakes To Avoid
- Children may struggle with the language of unitising.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Powers of 10 and their multiples can be subtracted using the language of unitising. Known facts can be used alongside unitising to subtract powers of 10 and their multiples.
2. Use this key word in a maths sentence and explain it clearly. 'Million'
One million is composed of one thousand thousands. 1,000 × 1,000 = 1,000,000 We write one million as a one followed by six zeros. 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 struggle with the language of unitising. Correction: Encourage children to read aloud and spot what they notice - which known fact can they see - what is the same/different?
More Lessons In This Unit
- Add and subtract mentally without bridging a boundary Study Guide
- Add multiples of powers of 10 crossing the millions boundary Study Guide
- Compare numbers with up to eight digits Study Guide
- Composition of seven-digit numbers Study Guide
- Determine the value of digits in numbers up to 10 million Study Guide
- Estimate and identify numbers on number lines Study Guide
- Solving problems using column addition and subtraction Study Guide
- Use knowledge of the composition of seven-digit numbers to solve problems Study Guide
- Using patterns in counting sequences Study Guide
Browse all guides in the Year 6 Maths guide library.