Percentage Calculations and Applications
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Questions and Answers

What is the formula to calculate percentage decrease?

  • ((Original value - New value) / New value) × 100
  • ((New value - Original value) / Original value) × 100 (correct)
  • ((New value + Original value) / New value) × 100
  • ((Original value + New value) / Original value) × 100

    • What is an example of percentage increase in real-world applications?

  • Grades
  • Discounts
  • Interest rates (correct)
  • Sales tax

    • How do you convert a fraction to a percentage?

  • Multiply the numerator by the denominator and multiply by 100
  • Add the numerator and denominator and multiply by 100
  • Subtract the numerator from the denominator and multiply by 100
  • Divide the numerator by the denominator and multiply by 100 (correct)

    • What is the result of converting 1/2 to a percentage?

    <p>50%</p> Signup and view all the answers

    How do you find a percentage of a quantity?

    <p>Multiply the quantity by the percentage (as a decimal)</p> Signup and view all the answers

    What is 25% of 120?

    <p>30</p> Signup and view all the answers

    How do you find the original quantity from a percentage?

    <p>Divide the percentage value by the percentage (as a decimal)</p> Signup and view all the answers

    What is the result of converting 30% to a fraction?

    <p>3/10</p> Signup and view all the answers

    Study Notes

    Percentage Increase and Decrease

    • Percentage increase: the increase in value as a percentage of the original value
      • Formula: ((New value - Original value) / Original value) × 100
    • Percentage decrease: the decrease in value as a percentage of the original value
      • Formula: ((Original value - New value) / Original value) × 100

    Real-World Applications

    • Discounts: percentage decrease in price of an item
    • Interest rates: percentage increase in investment or loan value
    • Sales tax: percentage increase in price of an item
    • Grades: percentage of correct answers on a test
    • Population growth: percentage increase in population size

    Converting between Fractions and Percentages

    • Converting fractions to percentages:
      • Divide the numerator by the denominator and multiply by 100
      • Example: 3/4 = (3 ÷ 4) × 100 = 75%
    • Converting percentages to fractions:
      • Divide by 100 and simplify the fraction
      • Example: 25% = 25 ÷ 100 = 1/4

    Percentage of a Quantity

    • Finding a percentage of a quantity:
      • Multiply the quantity by the percentage (as a decimal)
      • Example: 25% of 120 = 120 × 0.25 = 30
    • Finding the original quantity from a percentage:
      • Divide the percentage value by the percentage (as a decimal)
      • Example: 30 is 25% of what number? 30 ÷ 0.25 = 120

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    Description

    Test your understanding of percentage calculations, including percentage increase and decrease, real-world applications, converting between fractions and percentages, and finding percentages of quantities.

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