Year 6 - Maths
Composition of seven-digit numbers
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 explain how a 7-digit number can be composed.
Key Notes
- Known facts and unitising can be applied when partitioning 7-digit numbers.
- If the missing part is an addend then the other addend is subtracted from the sum
- If the missing part is the subtrahend then the difference is subtracted from the minuend
Vocabulary To Learn
- Addend: An addend is a number added to another to give a sum. The addends are the parts.
- Minuend: The first number in a subtraction is known as the minuend. It is the whole amount.
- Subtrahend: The number that is to be subtracted. The second number in a subtraction.
Common Mistakes To Avoid
- Children may find it difficult to comprehend that e.g. 1,200,000 may have a digit '2' in the one hundred thousands place but is actually composed of 12 hundred thousands.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Known facts and unitising can be applied when partitioning 7-digit numbers. If the missing part is an addend then the other addend is subtracted from the sum.
2. Use this key word in a maths sentence and explain it clearly. 'Addend'
An addend is a number added to another to give a sum. The addends are the 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 find it difficult to comprehend that e.g. 1,200,000 may have a digit '2' in the one hundred thousands place but is actually composed of 12 hundred thousands. Correction: Even though the digit in the 100,000s place is a 2, the number 1,200,000 is composed of 12 hundred thousands because one million is composed of 10 hundred thousands.
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
- 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
- Subtract multiples of powers of 10 crossing the millions boundary 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.