Mass kg hg dag g dg cg mg Length km hm dam m dm cm mm : 10 : 10 : 10 : 10 : 10 : 10 × 10 × 10 × 10 × 10 × 10 × 10 : 10 : 10 : 10 : 10 : 10 : 10 × 10 × 10 × 10 × 10 × 10 × 10 Converting quantities For measurements of mass and length : 2. Measurement 16 Convert these amounts: a) 25.8 g ® cg b) 0.05 hg ® dg c) 3.5 dag ® kg d) 450 mg ® kg 17 Convert these amounts: a) 8.15 km ® m b) 1.45 dam ® dm c) 0.04 dm ® cm d) 59 mm ® dm 18 Convert these amounts: a) 16 g ® hg b) 0.25 dag ® mg c) 7.5 km ® cm d) 50 dm ® hm 19 Order these amounts from largest to smallest: a) 0.015 kg 2 765 dg 2.54 dag b) 75 cm 0.65 dm 1.25 m c) 0.05 hg 350 dag 3 672 mg A C T I V I T I E S S O LV E D P R O B L E M 1 Write 0.8 km in dm. 1. Identify the initial unit and the final unit. km ® dm 2. To move from one to the other, go towards the end of the submultiples. The exponent of 10 will be positive. 3. Count the number of steps between the two units. This is the exponent of 10. km hm dam m dm 4. Write it in the corresponding unit. 0.8 km = 0.8 × 104 dm = 8 000 dm × 10 × 10 × 10 × 10 4 steps S O LV E D P R O B L E M 2 Write 850 dg in hg. 1. Identify the initial unit and the final unit. dg ® hg 2. To move from one to the other, go towards the end of the multiples. The exponent of 10 will be negative. 3. Count the number of steps between the two units. This is the exponent of 10. hg dag g dg 4. Write it in the corresponding unit. 850 dg = 850 × 10-3 hg = 850 × 1 103 hg = 0.85 hg : 10 : 10 : 10 3 steps To convert an amount into the next highest multiple, we divide it by 10. For example: 20 hg = 2 kg. To convert an amount into the next smallest submultiple, we multiply it by 10. For example: 5 g = 50 dg. 16
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