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53. Calculate Make the following conversions. Express

your answers in scientific notation.
a. 14.8 g
= ? µg
b. 3.72 g = ? kg
c. 66.3 L = ? cm³
d. 7.5 x 10¹ J = ? kJ
e. 3.9 X 105 mg = ? dg
f. 2.1 x 10 dL = ? µL

1 Answer

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a. To convert 14.8 g to µg (micrograms), we need to multiply by the appropriate conversion factor:

14.8 g * 1,000,000 µg/1 g = 14,800,000 µg

Therefore, 14.8 g is equal to 14,800,000 µg in scientific notation.

b. To convert 3.72 g to kg (kilograms), we need to divide by the appropriate conversion factor:

3.72 g / 1000 kg/1 g = 0.00372 kg

Therefore, 3.72 g is equal to 0.00372 kg in scientific notation.

c. To convert 66.3 L to cm³ (cubic centimeters), we need to multiply by the appropriate conversion factor:

66.3 L * 1000 cm³/1 L = 66,300 cm³

Therefore, 66.3 L is equal to 66,300 cm³ in scientific notation.

d. To convert 7.5 x 10¹ J to kJ (kilojoules), we need to divide by the appropriate conversion factor:

7.5 x 10¹ J / 1000 kJ/1 J = 7.5 x 10⁻² kJ

Therefore, 7.5 x 10¹ J is equal to 7.5 x 10⁻² kJ in scientific notation.

e. To convert 3.9 x 10⁵ mg to dg (decigrams), we need to divide by the appropriate conversion factor:

3.9 x 10⁵ mg / 100 dg/1 mg = 3.9 x 10³ dg

Therefore, 3.9 x 10⁵ mg is equal to 3.9 x 10³ dg in scientific notation.

f. To convert 2.1 x 10 dL to µL (microliters), we need to multiply by the appropriate conversion factor:

2.1 x 10 dL * 10⁵ µL/1 dL = 2.1 x 10⁶ µL

Therefore, 2.1 x 10 dL is equal to 2.1 x 10⁶ µL in scientific notation.

answered
User Boobiq
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