Year 7 - Maths
Deepening understanding of place value in integers
Place value
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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 revisit, secure and develop their understanding of place value with integers, decimals, fractions, metric and imperial units. This knowledge is then extended to order and compare numbers of increasing complexity.
Lesson Summary
You will learn to state the value of any digit in any given integer in any given form.
Key Notes
- An integer can be read aloud in different ways.
- Context may affect how an integer is read aloud.
- An integer can be written using its digits when described in different ways.
Vocabulary To Learn
- Digit: A digit is one of the symbols of a number system. In our number system we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
- Integer: An integer is any positive or negative whole number or zero. E.g. -2, 0, 153 are all examples of integers.
Common Mistakes To Avoid
- 40 thousands placing the 4 in the thousands column.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An integer can be read aloud in different ways. Context may affect how an integer is read aloud.
2. Use this key word in a maths sentence and explain it clearly. 'Digit'
A digit is one of the symbols of a number system. In our number system we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: 40 thousands placing the 4 in the thousands column. Correction: As there are 40 thousands the 4 is in the ten thousands column.
More Lessons In This Unit
- Checking understanding of ordering and comparing numbers Study Guide
- Checking understanding of place value in integers Study Guide
- Checking understanding of place value in metric units Study Guide
- Exponential and fractional column headings Study Guide
- Place value in decimals Study Guide
- Place value in imperial units Study Guide
- Problem solving with place value Study Guide
- Securing understanding of ordering and comparing numbers Study Guide
- Securing understanding of place value in integers Study Guide
- Securing understanding of place value in metric units Study Guide
Browse all guides in the Year 7 Maths guide library.