Application of decimals

Point shift trick

Division: Point is shifted to the left by the number of zeroes in the denominator.

  • \dfrac{{150}}{{100}} = 1.50 (Shifting decimal by 2 points to the left)
  • \dfrac{{1.5}}{{1000}} = 0.0015\; (Shifting decimal by 3 points to the left)

Decimals in length measurement

  • 1 m = 100cm
  • 1cm = \dfrac{1}{{100}}m = 0.01 m (Move decimal to left by 2 units in the numerator as there are two zeroes in the denominator)
  • 150cm = \dfrac{{150}}{{100}}m = 1.5 m

Decimals in weight measurement

  • 1 kg = 1000 g
  • 1 g = \dfrac{1}{{1000}}kg
  • 298 g = \dfrac{{298}}{{1000}}kg = 0.298 kg (Move the decimal to the left by 3 places in the numerator as there are 3 zeroes in the denominator)
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