Year 7 - Maths
Dividing with 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 generalise and fluently use written division strategies to calculate accurately with decimals.
Key Notes
- Divisions can be written as fractions.
- Equivalent fractions mean an equivalent calculation can be found.
- This equivalent calculation can be significantly easier to calculate.
Vocabulary To Learn
- Dividend: Dividend is the number we are dividing.
- Divisor: The divisor is the number by which the dividend is divided.
- Quotient: The quotient is the integer result of division.
Common Mistakes To Avoid
- Students try to divide an integer with an integer without simplifying.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Divisions can be written as fractions. Equivalent fractions mean an equivalent calculation can be found.
2. Use this key word in a maths sentence and explain it clearly. 'Dividend'
Dividend is the number we are dividing. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Students try to divide an integer with an integer without simplifying. Correction: Student are required to convert the divisor into an integer. Simplifying the denominator into a single integer digit is preferable.
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
- 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.