Year 7 - Maths
Checking 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 use your understanding of place value to create numbers that meet certain conditions.
Key Notes
- The place value of a digit affects the overall value of an integer.
- Integers with the same digits have different values depending on the place value of those digits.
- An integer can be partitioned using place value .
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
- When making a 3-digit integer pupils use 0 as the first digit. However 057 is not a 3-digit integer.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The place value of a digit affects the overall value of an integer. Integers with the same digits have different values depending on the place value of those digits.
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: When making a 3-digit integer pupils use 0 as the first digit. However 057 is not a 3-digit integer. Correction: Leading zeros are not written. They are not needed to preserve the place value of other digits. 057 is still a 2-digit integer.
More Lessons In This Unit
- Checking understanding of ordering and comparing numbers Study Guide
- Checking understanding of place value in metric units Study Guide
- Deepening understanding of place value in integers 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.