Year 6 - Maths
Representing numbers up to 10 million
Understand place value within numbers with up to 7 digits
Study Hub
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 identify and place the position of 6-digit multiple of one thousand numbers, on a marked, but unlabelled number line They will read scales in graphing and measures contexts by using their knowledge of the composition of 10,000 and 100,000.
Lesson Summary
You will learn to represent numbers up to 10 million.
Key Notes
- Numbers can be represented using place value counters or a Gattegno chart
- A zero in a number shows that there is no digit value in that column - this is called a placeholder.
- When we read numbers, we group the digits into threes from the right.
Vocabulary To Learn
- Million: One million is composed of 1,000 thousands. One million is written as a one followed by six zeros.
- Placeholder: A placeholder is where we use the digit zero to hold a place in a number and maintain place value. Placeholders are used so that we can write numerals properly.
Common Mistakes To Avoid
- Children may incorrectly write numbers by not using a placeholder zero.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Numbers can be represented using place value counters or a Gattegno chart. A zero in a number shows that there is no digit value in that column - this is called a placeholder.
2. Use this key word in a maths sentence and explain it clearly. 'Million'
One million is composed of 1,000 thousands. One million is written 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 incorrectly write numbers by not using a placeholder zero. Correction: Use place value counters or a Gattegno chart to represent the number. Are there digits for each place? If not, we need to use a placeholder zero.
More Lessons In This Unit
Browse all guides in the Year 6 Maths guide library.