College

Carry out each of the following conversions:

a. 18.5 m to [tex]km[/tex]

b. 16.3 km to m

c. 247 kg to [tex]g[/tex]

d. 4.32 L to mL

e. 85.9 dL to L

f. 82511 [tex]cm^3[/tex] to L

Answer :

Sure! Let's walk through each of the conversions step-by-step:

a. Convert 18.5 meters to kilometers

To convert meters to kilometers, you divide the number of meters by 1,000 because there are 1,000 meters in a kilometer.

[tex]\[
18.5 \, \text{m} \div 1000 = 0.0185 \, \text{km}
\][/tex]

b. Convert 16.3 kilometers to meters

To convert kilometers to meters, you multiply the number of kilometers by 1,000 because there are 1,000 meters in a kilometer.

[tex]\[
16.3 \, \text{km} \times 1000 = 16,300 \, \text{m}
\][/tex]

c. Convert 247 kilograms to grams

To convert kilograms to grams, you multiply the number of kilograms by 1,000 because there are 1,000 grams in a kilogram.

[tex]\[
247 \, \text{kg} \times 1000 = 247,000 \, \text{g}
\][/tex]

d. Convert 4.32 liters to milliliters

To convert liters to milliliters, you multiply the number of liters by 1,000 because there are 1,000 milliliters in a liter.

[tex]\[
4.32 \, \text{L} \times 1000 = 4,320 \, \text{mL}
\][/tex]

e. Convert 85.9 deciliters to liters

To convert deciliters to liters, you multiply the number of deciliters by 0.1 because there are 10 deciliters in a liter (thus, every deciliter is 0.1 liters).

[tex]\[
85.9 \, \text{dL} \times 0.1 = 8.59 \, \text{L}
\][/tex]

f. Convert 82511 to cubic centimeters

The number 82511 is already given in cubic centimeters (cm³), so no conversion is needed.

The results for each conversion are as follows:
- a. 0.0185 km
- b. 16,300 m
- c. 247,000 g
- d. 4,320 mL
- e. 8.59 L
- f. 82,511 cm³

I hope this helps! Let me know if you have any more questions.