Year 6 - Maths
Determine the value of digits in numbers up to 10 million
Order, compare and calculate with numbers up to 8 digits
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Study Guides
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 determine the value of digits in numbers up to 10 million.
Key Notes
- The __ digit in the __ column represents __
- The value of the digit in the __ column is __
- Digits in numbers are grouped in threes to show the ones, thousands and millions.
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.
- Value: The value of a particular digit is how much that digit is worth within the given number.
Common Mistakes To Avoid
- When using place value counters, children may misread a number if one of the digits is a zero and hence not represented with a counter.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The __ digit in the __ column represents __. The value of the digit in the __ column is __.
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: When using place value counters, children may misread a number if one of the digits is a zero and hence not represented with a counter. Correction: Remember that the digits in numbers are organised into groups of three with ones, tens and hundreds in each group.
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
- 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.