Question

1) Complete the following Conversions using Appendix D: a) 22.6 millimeters = ? picometers b) 0.007 decigrams = ? micrograms c) 26,000 nanoliters = ? dekaliters d) 26.9 250 microgram - hectograms milliliter deciliter e) 6.2 megagrams - hectoliters kilograms deciliters

Answer 1

1) 1 picometer = 10^-12 meter

1 millimeter = 10^-3 meter

1 millimeter = 10^-3 / 10^-12 = 10 ⁹ picometer

22. 6 millimeter = 22.6 x 10 ⁹ picometer

2) 1 decigram = 10^-1 g

1 microgram = 10^-6 g

1 decigram = 10^-1 g / 10^-6 g = 10⁵ microgram

0.007 decigram = 7x 10^-3 x 10⁵ microgram

= 7 x 10² microgram

3) 1 nanolitre = 10^-9 litre

1 deca litre = 10 litre

1 nano litre = 10^-9/10 = 10^-10 decalitre

26,000 nanolitre = 26 x 10³ x 10^-10

= 26 x 10 ^-7 decalitre

4) 1 microgram = 10^-6 gram

1 milli litre = 10^-3 litre

1 hectogram = 10² gram

1 decilitre = 10^-1 litre

26.9 microgram = 26.9 x 10 ^-6 / 10² = 26.9 x 10^-8 hectogram

10^-3 litre = 10^-3 / 10^-1 = 10^-2 decilitre

26.9 x 10^-8 / 10^-2 = 26. 9 x 10^-6 hectogram / decilitre

5) 1 mega gram = 10⁶ gram

1 kilogram = 10³gram

1 megagram = 10⁶/ 10³ = 10³ kilogram

1 hectolitre = 100 litre

1 decilitre = 10^-1 litre

1 hectolitre = 100/ 10^-1 = 10³ decilitre

6.2 x 10³/ 10³ = 6.2 kilogram / decilitre