Year 10 - Maths
Checking and securing understanding of converting between fractions and decimals
Arithmetic procedures: index laws
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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 learn how to manipulate indices and perform calculations without conversion by understanding index laws.
Lesson Summary
You will learn to convert fractions to decimals and decimals to fractions.
Key Notes
- The line in a fraction is referred to as the fraction bar or vinculum and in a fraction this represents division.
- Dividing the numerator by the denominator may result in an equivalent terminating decimal.
- If the decimal is non-terminating then the decimal is an approximation of the fraction.
- Writing the decimal as a fraction with a denominator of one allows you to use your knowledge of equivalent fractions.
- Through equivalent fractions, you can write a fraction where the numerator is an integer value.
Vocabulary To Learn
- Vinculum: Vinculum is the horizontal line placed over an expression to show that everything below that line is one group.
Common Mistakes To Avoid
- When ordering decimals, the more significant figures the greater the number.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The line in a fraction is referred to as the fraction bar or vinculum and in a fraction this represents division. Dividing the numerator by the denominator may result in an equivalent terminating decimal.
2. Use this key word in a maths sentence and explain it clearly. 'Vinculum'
Vinculum is the horizontal line placed over an expression to show that everything below that line is one group. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When ordering decimals, the more significant figures the greater the number. Correction: When ordering decimals, having the same number of decimal places allows the pupils to see the magnitude of the number more clearly.
More Lessons In This Unit
- Advanced problem solving with the laws of indices Study Guide
- Checking and securing understanding of calculating with fractions and decimals Study Guide
- Checking and securing understanding of calculations involving negative numbers Study Guide
- Checking and securing understanding of LCM and HCF Study Guide
- Checking and securing understanding of prime factorisation Study Guide
- Checking and securing understanding of roots and integer indices Study Guide
- Converting any recurring decimal to a fraction Study Guide
- Problem solving with the laws of indices Study Guide
- The laws of indices - division Study Guide
- The laws of indices - fractional exponents Study Guide
- The laws of indices - multiplication Study Guide
- The laws of indices - negative and zero exponents Study Guide
- The laws of indices - raising a power to a power Study Guide
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