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What is a percentage? | Year 5 Mathematics PDF Download

Percentages

  • When we encounter the symbol %, it represents 'per cent,' indicating 'out of 100'. For instance, 40% signifies 40 out of 100, and 11% signifies 11 out of 100.
  • Converting Percentages to Decimals: To convert a percentage to a decimal, you divide by 100. For example, to change 48% to a decimal: 48 ÷ 100 = 0.48.
  • Converting Decimals to Percentages: Converting a decimal to a percentage involves multiplying by 100. For instance, to convert 0.67 to a percentage: 0.67 x 100 = 67%.

Calculating percentages

  • When we talk about percentages, we are essentially referring to parts of a whole expressed in terms of 100.
    • For instance, if you have 50 out of 100 marbles, this can be represented as 50%.
  • Percentages help us compare quantities and understand proportions more easily.
  • To calculate percentages, it's essential to understand what one percent represents in the given context.
    • For example, if you want to find 20% of a number, you are essentially finding 1/5th of that number.
  • Percentage calculations are crucial in various real-life scenarios, from calculating discounts to understanding data trends.

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FAQs on What is a percentage? - Year 5 Mathematics

1. What is a percentage?
Ans. A percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol %.
2. How do you calculate percentages?
Ans. To calculate a percentage, you divide the given number by the total and then multiply by 100. For example, to find 20% of 50, you would divide 20 by 100 to get 0.2, and then multiply 0.2 by 50 to get 10.
3. What are some common uses of percentages?
Ans. Percentages are commonly used in everyday life for tasks such as calculating discounts, determining grades, analyzing data, and understanding proportions in statistics.
4. How can percentages be used in financial contexts?
Ans. Percentages are frequently used in financial contexts for calculating interest rates, determining returns on investments, analyzing profits and losses, and budgeting expenses.
5. How can percentages be converted into fractions or decimals?
Ans. To convert a percentage into a fraction, simply write the percentage as a fraction with 100 as the denominator. To convert a percentage into a decimal, divide the percentage by 100.
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