Example Question - metric units
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Conversion of Mass Units
Para convertir las unidades de masa dadas en gramos, usamos las siguientes equivalencias: \(1 kg = 1000 g\), \(1 hg = 100 g\), \(1 dag = 10 g\), \(1 g = 1 g\), \(1 dg = 0.1 g\), \(1 cg = 0.01 g\), \(1 mg = 0.001 g\). Luego, multiplicamos las cantidades dadas por estas equivalencias para obtener la masa en gramos: <p>\(0.089 kg = 0.089 \times 1000 g = 89 g\)</p> <p>\(93 hg = 93 \times 100 g = 9300 g\)</p> <p>\(5700 cg = 5700 \times 0.01 g = 57 g\)</p> Para las cantidades escritas en la parte inferior de la imagen: <p>\(4 kg\;9 hg = (4 \times 1000 g) + (9 \times 100 g) = 4000 g + 900 g = 4900 g\)</p> <p>\(2 kg\;3 dag = (2 \times 1000 g) + (3 \times 10 g) = 2000 g + 30 g = 2030 g\)</p> <p>\(8 kg\;7 hg = (8 \times 1000 g) + (7 \times 100 g) = 8000 g + 700 g = 8700 g\)</p> Estas son las masas convertidas a gramos.
Conversion and Division of Metric Units
<p>For part (a), we first convert 2.1 kg to grams since there are 1000 grams in a kilogram.</p> <p>2.1 kg = 2.1 \times 1000 g = 2100 g</p> <p>Now we divide 330 g by 2100 g.</p> <p>\frac{330 g}{2100 g} = \frac{330}{2100} = \frac{1}{2100/330} = \frac{1}{6.36363636} \approx 0.157</p> <p>The approximate answer for part (a) is 0.157.</p>
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