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Motion 3 intro maths indices & unit conversion (shared)

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Motion 3 intro maths indices & unit conversion (shared)

  1. 1. A-level PhysicsUnit G481:MechanicsIndicesMore on units
  2. 2. Lesson focus • Basic maths: converting units & indices Learning objectives At the end of the lesson you will be able to: • convert between units and their multiple and submultiples; • correctly handle indices.Motion
  3. 3. Converting units LOs Convert each of the following quantities: a) 400 cm to m b) 24 x 104 mm into m c) 0.050 watt in mW d) 2.5 x 10-3 kN to N e) n kW to W f) n milliwatt to W g) 3.5 x 2.2 mA to A h) 3.4 x 103 x y gram to kg Trickier 1. Convert an area of: a) 350 cm2 to m2 b) 0.06 m2 to cm2 2. Convert a volume of: b) 2.5 mm3 to m3 b) 0.07 m3 to mm3 3. Convert a density of 8 g per cm3 to kg per m3Motion
  4. 4. Using indices - 1 LOs 1. Write as powers of ten: a. 1/10 b) 1/10 000 c) 1/10-4 2. What is the reciprocal of: a. 10-4 b) 102 c) 10-19Motion
  5. 5. Using indices: rules LOs General rules for using indices (‘powers’ or ‘exponents’) are: multiplication 10a x 10b = 10a+b division 10a/10b = 10a-b raising to a power (10a)b = 10ab meanings: y1/a = a√y (the ‘ath root of y’) y a/b = b√ya (the ‘bth root of y to the a) y0 = 1Motion
  6. 6. Using indices - 2 LOs 1. Simplify the following: a. y6 x y7 b. y8 ÷ y5 c. (y3)4 d. 3y2 x 4y3 2. Write as a single power: a. 1/10 x 103 b. 1000 x 10-2 c. 104/10 d. 10-8 x 1012 e. 10-3 x 10-4 f. x-2 x x-2 g. x5 x x-2 h. 1/x2 i. 1/x-6 j. x8/x3 l. (x4)-6 m. √x3√(1/x5)Motion

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