decimal

• Decimals


  A type of fraction where the denominator is a power of 10
• Converting a fraction to a decimal

  1. Divide the numerator by the denominator

  2. Use a calculator for complex fractions

  3. Fraction will either terminate or recur
• Fractions that convert to decimals that recur are written with a dot over the repeating digit(s)
• Fractions that convert to recurring decimals

  • 1/3 = 0.3̇
  • 2/9 = 0.2̇
  • 5/33 = 0.1̇5̇
• Outcomes when converting a fraction to a decimal

  • Terminate
  • Recur
• Multiplying or dividing a decimal by a power of 10


  1. Move the decimal point right for multiplication

  2. Move the decimal point left for division

  3. Add zeros if needed to maintain number of digits
• Multiplying or dividing decimals by powers of 10

  • 36.57 x 10 = 365.7
  • 78.375 x 100 = 7837.5
  • 0.0095 x 1000 = 9.5
  • 36.7 / 10 = 3.67
  • 5.8 / 10 = 0.58
  • 0.0475 / 100 = 0.000475
• To multiply by 10^a, move the decimal point a places right. To divide by 10^a, move the decimal point a places left.