Year 7 - Maths
Securing understanding of arithmetic procedures with integers and decimals
Arithmetic procedures with integers and decimals
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Study Guides
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 using a calculator to check.
Key Notes
- The decimal point determines the place value of each digit.
- A calculator needs the decimal point to determine the place value of each digit.
- A calculator produces the correct answer for the values inputted.
- The answer can be checked to see if it appears too big or too small.
Vocabulary To Learn
- 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.
Common Mistakes To Avoid
- The assumption that if the calculator gives an answer then it must be correct!
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. A calculator needs the decimal point to determine the place value of each digit.
2. Use this key word in a maths sentence and explain it clearly. '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. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: The assumption that if the calculator gives an answer then it must be correct! Correction: It is really important to encourage pupils to both check calculator inputs carefully and consider the reasonableness of their answers.
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
- Checking understanding of arithmetic procedures with integers and decimals 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
- 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.