Question

Convert the following: (a) 1 000 kg into g. (b) 1 000 000 m into km (c) 0.0000037 kg to mg. (d) 0.00000125 m to mm.

how do you do it
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Answer 1

a) 1000000 g

b) 1000 km

c) 3,7 mg

d) 0,00125 mm

Step-by-step explanation:

a) 1kg has 1000g, so we can make a proportion:

1 kg - 1000 g

1000 kg - x g

Use the property of the proportion to find x:

`x = 1000 * 1000 = 1 * {10}^(6) \: g = 1000000 \: g`

b) 1 km has 1000 m, so let's do the same thing as we did earlier:

1 km - 1000 m

x km - 1000000 m

`x = (1000000)/(1000) = 1000 \: km`

c) 1 g has 1000 mg and 1 kg has 1000 g, so 1 kg will have 1000 × 1000 =

`{10}^( 6) \: mg = 1000000 \: mg`

1 kg - 1000000 mg

0,0000037 kg - x mg

x = 0,0000037 × 1000000 = 3,7 mg

d) 1 m has 100 cm and 1 cm has 10 mm, so that means 1 m has 100 × 10 = 1000 mm

1 m - 1000 mm

0,00000125 m - x mm

x = 0,00000125 × 1000 = 0,00125 mm

I think I got it right