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------------------------------------------------ Carry out each of the following conversions:

a. 18.5 m to km

b. 16.3 km to m

c. 247 kg to g

d. 4.32 L to mL

e. 85.9 dl to L

f. 8251 L to cm³

Answer :

Sure! Let's go through each of the conversions step by step.

a. Convert 18.5 meters to kilometers:

To convert meters to kilometers, we can use the conversion factor that 1 kilometer equals 1000 meters. So, we divide the number of meters by 1000:

[tex]\[ 18.5 \, \text{m} \times \frac{1 \, \text{km}}{1000 \, \text{m}} = 0.0185 \, \text{km} \][/tex]

b. Convert 16.3 kilometers to meters:

To convert kilometers to meters, we use the conversion factor that 1 kilometer equals 1000 meters. So, we multiply the number of kilometers by 1000:

[tex]\[ 16.3 \, \text{km} \times 1000 \, \text{m/km} = 16300 \, \text{m} \][/tex]

c. Convert 247 kilograms to grams:

To convert kilograms to grams, we use the conversion factor that 1 kilogram equals 1000 grams. So, we multiply the number of kilograms by 1000:

[tex]\[ 247 \, \text{kg} \times 1000 \, \text{g/kg} = 247000 \, \text{g} \][/tex]

d. Convert 4.32 liters to milliliters:

To convert liters to milliliters, we use the conversion factor that 1 liter equals 1000 milliliters. So, we multiply the number of liters by 1000:

[tex]\[ 4.32 \, \text{L} \times 1000 \, \text{mL/L} = 4320 \, \text{mL} \][/tex]

e. Convert 85.9 deciliters to milliliters:

First, convert deciliters to liters using the conversion factor that 1 deciliter equals 0.1 liter, then convert liters to milliliters:

[tex]\[ 85.9 \, \text{dl} \times 0.1 \, \text{L/dl} = 8.59 \, \text{L} \][/tex]
[tex]\[ 8.59 \, \text{L} \times 1000 \, \text{mL/L} = 8590 \, \text{mL} \][/tex]

f. Convert 8251 liters to cubic centimeters (cm³):

To convert liters to cubic centimeters, use the conversion factor that 1 liter equals 1000 cubic centimeters:

[tex]\[ 8251 \, \text{L} \times 1000 \, \text{cm}^3/\text{L} = 8251000 \, \text{cm}^3 \][/tex]

These are the results of the conversions.