Year 7 - Maths
Securing 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 a given integer.
Key Notes
- It is difficult to know what a digit represents if you do not know its place value.
- An integer can be written as the sum of the place value of its digits.
- Rearranging the digits in an integer can alter its overall 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
- Pupils may think the digit card 0 has to have significant place value.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
It is difficult to know what a digit represents if you do not know its place value. An integer can be written as the sum of the place value of its 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: Pupils may think the digit card 0 has to have significant place value. Correction: If the question doesn't specify the number of digits, leading zeros can be used (and not written) to create integers with fewer digits.
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
- 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 metric units Study Guide
Browse all guides in the Year 7 Maths guide library.