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    PracticeAQA GCSEAQA GCSE Maths Foundation Tier Paper 1 Non-CalculatorQuestion 05
    Easy2 marksStructured
    NumberNumberFractionsDecimalsPercentages

    AQA GCSE · Question 05 · Number

    Put these values in order of size, starting with the smallest.
    80%, 0.7, 3/4

    How to approach this question

    To compare these values, convert them all to the same format, either decimals or percentages. Method 1: Convert to decimals - 80% = 80/100 = 0.80 - 0.7 is already a decimal. - 3/4 = 0.75 Now compare the decimals: 0.7, 0.75, 0.80. The order from smallest to largest is 0.7, 0.75, 0.80. Now write them back in their original form: 0.7, 3/4, 80%. Method 2: Convert to percentages - 80% is already a percentage. - 0.7 = 0.7 x 100% = 70% - 3/4 = (3/4) x 100% = 75% Now compare the percentages: 70%, 75%, 80%. The order from smallest to largest is 70%, 75%, 80%. Now write them back in their original form: 0.7, 3/4, 80%.

    Full Answer

    To order numbers of different types (percentages, decimals, fractions), it is easiest to convert them all into a single, consistent format. Let's convert them all to decimals. 1. **80%**: The word "percent" means "out of 100". So, 80% is 80/100, which is 0.8. 2. **0.7**: This is already in decimal form. 3. **3/4**: To convert a fraction to a decimal, you can find an equivalent fraction with a denominator of 100. 3/4 is equivalent to 75/100, which is 0.75. Now we have the three numbers as decimals: 0.8, 0.7, and 0.75. We can now easily order them from smallest to largest: 0.7 is the smallest. 0.75 is next. 0.8 is the largest. Finally, we write the numbers in their original forms in this order: 0.7, 3/4, 80%.

    Common mistakes

    ✗ Incorrectly converting between formats, e.g., thinking 3/4 is 0.34 or 80% is 0.08.\n✗ Ordering them based on the numbers they see, e.g., 0.7, 3/4, 80 because 0.7 < 3 < 80.
    Question 04.2All questionsQuestion 06

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