Year 7 - Maths
Checking understanding of arithmetic procedures with integers and decimals
Arithmetic procedures with integers and decimals
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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 develop their ability and efficacy with the four operations including more complicated and challenging calculations involving fractions, decimals and negative numbers. This leads into an exploration of the priority order of operations.
Lesson Summary
You will learn to add, subtract, multiply and divide with integers and decimals.
Key Notes
- The decimal point determines the place value of each digit.
- The decimal point can help ensure that digits with the same place value are combined.
- Multiplication can be made easier by considering factors.
- Division can be made easier by considering equivalent calculations.
Vocabulary To Learn
- Integer: An integer is any positive or negative whole number or zero. E.g. (−2), 0, 153 are all examples of integers.
- Decimal form: A number is in decimal form when the decimal point is shown and there are digits to the right of the decimal point.
- 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.
Common Mistakes To Avoid
- Students often omit any place holders when subtracting decimals.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The decimal point determines the place value of each digit. The decimal point can help ensure that digits with the same place value are combined.
2. Use this key word in a maths sentence and explain it clearly. 'Integer'
An integer is any positive or negative whole number or zero. E.g. (−2), 0, 153 are all examples of integers. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Students often omit any place holders when subtracting decimals. Correction: Encourage all place holders to be used in all written calculations so they are not omitted when they need to be there.
More Lessons In This Unit
- Addition of positive and negative integers Study Guide
- Checking and securing understanding of multiplication and division Study Guide
- Checking and securing understanding of negative numbers in context Study Guide
- Checking and securing understanding of written addition and subtraction strategies Study Guide
- Dividing with decimals Study Guide
- Multiplication and division where only one value is negative Study Guide
- Multiplication and division where two or more values are negative Study Guide
- Multiplying with decimals Study Guide
- Priority of operations with positive and negative integers and decimals Study Guide
- Priority of operations with positive integers Study Guide
- Problem solving with integers and decimals Study Guide
- Securing understanding of arithmetic procedures with integers and decimals Study Guide
- Simplifying multiplication and division using multiples of 10 Study Guide
- Subtraction of positive and negative integers Study Guide
- Using the associative, commutative and distributive laws together Study Guide
- Using your calculator efficiently Study Guide
Browse all guides in the Year 7 Maths guide library.