Perform each conversion. a. 3.55 kg to grams b. 8944 mm to meters c. 4598 mg to kilograms d. 0.0187 L to milliliters Perform each conversion. a. 155.5 cm to meters b. 2491.6 g to kilograms c. 248 cm to millimeters d. 6781 mL to liters Perform each conversion. a. 5.88 dL to liters b. 3.41 x 10-5 g to micrograms c. 1.01 x 108 s to nanoseconds d. 2.19 pm to meters
The Correct Answer and Explanation is :
Conversion Answers and Explanations
Set 1:
a. 3.55 kg to grams
To convert kilograms (kg) to grams (g), use the conversion factor:
1 kg = 1000 g.
So,
[
3.55 \, \text{kg} \times 1000 = 3550 \, \text{g}
]
Answer: 3550 g
b. 8944 mm to meters
To convert millimeters (mm) to meters (m), use the conversion factor:
1 m = 1000 mm.
So,
[
8944 \, \text{mm} \div 1000 = 8.944 \, \text{m}
]
Answer: 8.944 m
c. 4598 mg to kilograms
To convert milligrams (mg) to kilograms (kg), use the conversion factor:
1 kg = 1,000,000 mg.
So,
[
4598 \, \text{mg} \div 1,000,000 = 0.004598 \, \text{kg}
]
Answer: 0.004598 kg
d. 0.0187 L to milliliters
To convert liters (L) to milliliters (mL), use the conversion factor:
1 L = 1000 mL.
So,
[
0.0187 \, \text{L} \times 1000 = 18.7 \, \text{mL}
]
Answer: 18.7 mL
Set 2:
a. 155.5 cm to meters
To convert centimeters (cm) to meters (m), use the conversion factor:
1 m = 100 cm.
So,
[
155.5 \, \text{cm} \div 100 = 1.555 \, \text{m}
]
Answer: 1.555 m
b. 2491.6 g to kilograms
To convert grams (g) to kilograms (kg), use the conversion factor:
1 kg = 1000 g.
So,
[
2491.6 \, \text{g} \div 1000 = 2.4916 \, \text{kg}
]
Answer: 2.4916 kg
c. 248 cm to millimeters
To convert centimeters (cm) to millimeters (mm), use the conversion factor:
1 cm = 10 mm.
So,
[
248 \, \text{cm} \times 10 = 2480 \, \text{mm}
]
Answer: 2480 mm
d. 6781 mL to liters
To convert milliliters (mL) to liters (L), use the conversion factor:
1 L = 1000 mL.
So,
[
6781 \, \text{mL} \div 1000 = 6.781 \, \text{L}
]
Answer: 6.781 L
Set 3:
a. 5.88 dL to liters
To convert deciliters (dL) to liters (L), use the conversion factor:
1 L = 10 dL.
So,
[
5.88 \, \text{dL} \div 10 = 0.588 \, \text{L}
]
Answer: 0.588 L
b. 3.41 x 10^-5 g to micrograms
To convert grams (g) to micrograms (µg), use the conversion factor:
1 g = 1,000,000 µg.
So,
[
3.41 \times 10^{-5} \, \text{g} \times 1,000,000 = 34.1 \, \mu\text{g}
]
Answer: 34.1 µg
c. 1.01 x 10^8 s to nanoseconds
To convert seconds (s) to nanoseconds (ns), use the conversion factor:
1 s = 1,000,000,000 ns (10^9 ns).
So,
[
1.01 \times 10^8 \, \text{s} \times 10^9 = 1.01 \times 10^{17} \, \text{ns}
]
Answer: 1.01 x 10^17 ns
d. 2.19 pm to meters
To convert picometers (pm) to meters (m), use the conversion factor:
1 m = 1,000,000,000,000 (10^12) pm.
So,
[
2.19 \, \text{pm} \div 10^{12} = 2.19 \times 10^{-12} \, \text{m}
]
Answer: 2.19 x 10^-12 m
Explanation:
Each of these conversions follows simple mathematical rules based on unit equivalencies. By using known conversion factors, we scale up or down the given value by multiplying or dividing appropriately. For instance, to convert grams to kilograms, we divide by 1000 since there are 1000 grams in a kilogram. Similarly, when converting between metric units such as millimeters, centimeters, and meters, it’s a matter of knowing whether the factor is 10 (cm to mm), 100 (cm to m), or 1000 (mL to L).