Year 6 - Maths
Powers of 10 and their multiples
Understand place value within numbers with up to 7 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 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 identify and explain patterns in powers of ten.
Key Notes
- One million is composed of one thousand thousands.
- The powers of 10 are the column headings in a place value chart.
- Each column is ten times the value of the column to its right.
Vocabulary To Learn
- Powers of 10: A power of 10 is when 10 is multiplied by itself a certain number of times.
- Million: One million is composed of one thousand thousands. We write one million as a one followed by six zeros.
Common Mistakes To Avoid
- Children may not appreciate the size of one million or that it is composed of 1,000 thousands. Children may find grasping the concept of 'power of 10' tricky.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
One million is composed of one thousand thousands. The powers of 10 are the column headings in a place value chart.
2. Use this key word in a maths sentence and explain it clearly. 'Powers of 10'
A power of 10 is when 10 is multiplied by itself a certain number of times. 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 not appreciate the size of one million or that it is composed of 1,000 thousands. Children may find grasping the concept of 'power of 10' tricky. Correction: Use the place value chart and place value counters to represent the composition of one million. Use the stem sentences: 'One million is composed of 1,000 thousands' and 'Each column is ten times the value to that on its right'.
More Lessons In This Unit
Browse all guides in the Year 6 Maths guide library.