Math Class: Percentages and Ratios

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Questions and Answers

Express 0.36% as a ratio.

  • 9 : 2.5
  • 9 : 25
  • 9 : 2500 (correct)
  • 9 : 250

What is the percentage increase in the population of the town from 2007 to 2010?

40%

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Study Notes

Converting Percentages to Ratios

  • To express a percentage as a ratio, first convert the percentage to a fraction.
  • 0.36% is equivalent to 0.36/100.
  • Simplify the fraction by dividing both numerator and denominator by their greatest common factor, which is 0.04.
  • This gives us 9/2500
  • Therefore, 0.36% expressed as a ratio is 9:2500.

Population Increase Calculation

  • The population increased from 268000 in 2007 to 375200 in 2010.
  • This means the increase in population is 375200 - 268000 = 107200.
  • The percentage increase is calculated by dividing the increase in population by the original population and multiplying by 100.
  • Therefore the percentage increase is (107200/268000) * 100 = 40%.
  • The population of the town increased by 40% over three years.

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Percentage Sheet-1 PDF
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