Special note on a particular conversion not mentioned above.
Metric conversions where two units (numerator and denominator) are converted
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Here are the problems:
1. 750 micrograms to g 6. 45.6 microliters to megaliters 2. 0.25 megameters to cm 7. 1.08 kg to μg 3. 23.8 fg to kg 8. 9.57 x 10¯8 mm to nanometers 4. 2.77 kg to mg 9. 2.00 L to mL 5. 2.90 cm to terameters 10. 35.28 mL to L
Problem #1: Convert 750 μg to g:
750 μg x (_____ g / _____ μg) = _____ g750 μg x (1 g / _____ μg) = _____ g <--- put "1" in front of larger unit
750 μg x (1 g / 106 μg) = _____ g <--- 106 μg in 1 g
Answer = 7.5 x 10-4 g <--- note negative exponent from 106 being in the denominator
Problem #2: Convert 0.25 Mm to cm:
0.25 Mm x (_____ cm / _____ Mm) = _____ cm <--- note capital M for mega0.25 Mm x (_____ cm / 1 Mm) = _____ cm <--- a "1" in front of the larger unit
0.25 Mm x (108 cm / 1 Mm) = _____ cm <--- 108 cm in one megameter
Answer = 2.5 x 107 cm
Problem #3: Convert 23.8 fg to kg
Problem #4: Convert 2.77 kg to mg
2.77 kg x (_____ mg / _____ kg) = _____ mg2.77 kg x (_____ mg / 1 kg) = _____ mg <--- put "1" in front of larger unit
2.77 kg x (106 mg / 1 kg) = _____ mg <--- 6 is the exponent on the distance from kilo- (103) to milli- (10-3)
Answer = 2.77 x 106 mg
Problem #5: Convert 2.90 cm to terameters
2.90 cm x (_____ Tm / _____ cm) = _____ Tm2.90 cm x (1 Tm / _____ cm) = _____ Tm
2.90 cm x (1 Tm / 1014 cm) = _____ Tm <--- tera- = 1012; centi- = 10-2
Answer = 2.90 x 10-14 Tm
Problem #6: Convert 45.6 microliters to megaliters
Problem #7: Convert 1.08 kg to μg
1.08 kg x (_____ μg / _____ kg) = _____ μg1.08 kg x (_____ μg / 1 kg) = _____ μg
1.08 kg x (109 μg / 1 kg) = _____ μg <--- micro- = 10-6; kilo- = 103
Answer = 1.08 x 109 μg
Problem #8: Convert 9.57 x 10-8 mm to nanometers
9.57 x 10-8 mm x (_____ nm / _____ mm) = _____ mm9.57 x 10-8 mm x (_____ nm / 1 mm) = _____ mm <--- milli- (at 10-3) is larger than nm (at 10-9)
9.57 x 10-8 mm x (106 nm / 1 mm) = _____ mm
Answer = 9.57 x 10-2 nm
Problem #9: Convert 2.00 L to mL
2.00 L x (1000 mL / L) = 2.00 x 103
Note that there is no 1 in front of the L. This is often done, where the 1 is understood to be there. Note the manner of the answer; it is done that way to show three significant figures.
Problem #10: Convert 35.28 mL to L
35.28 mL x (1 L / 1000 mL) = 0.03528 L
Note that, when the 1 is in the numerator, it is usually written.
Special note on a particular conversion not mentioned above.
Metric conversions where two units (numerator and denominator) are converted
