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Questions and Answers
What is the formula to calculate percentage decrease?
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?
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?
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?
What is the result of converting 1/2 to a percentage?
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How do you find a percentage of a quantity?
How do you find a percentage of a quantity?
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What is 25% of 120?
What is 25% of 120?
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How do you find the original quantity from a percentage?
How do you find the original quantity from a percentage?
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What is the result of converting 30% to a fraction?
What is the result of converting 30% to a fraction?
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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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