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CONVERTING UNITS OF MEASUREMENT Within a Measurement System - Practice
1. Convert the amounts into the given units.
A. [tex]\( 24 \, \text{kg} = \)[/tex] 24000 [tex]\( \text{g} \)[/tex]
Explanation: To convert kilograms to grams, you multiply by 1000 since there are 1000 grams in a kilogram. Therefore, [tex]\( 24 \times 1000 = 24000 \)[/tex].
F. [tex]\( 13 \, \text{km} = \)[/tex] 13000 [tex]\( \text{m} \)[/tex]
Explanation: To convert kilometers to meters, you multiply by 1000 since there are 1000 meters in a kilometer. Thus, [tex]\( 13 \times 1000 = 13000 \)[/tex].
B. [tex]\( 4 \, \text{km} = \)[/tex] 400000 [tex]\( \text{cm} \)[/tex]
Explanation: To convert kilometers to centimeters, you first convert kilometers to meters (multiply by 1000) and then meters to centimeters (multiply by 100). Therefore, [tex]\( 4 \times 1000 = 4000 \)[/tex] meters, and [tex]\( 4000 \times 100 = 400000 \)[/tex] centimeters.
G. [tex]\( 5 \, \text{dL} = \)[/tex] 0.05 [tex]\( \text{daL} \)[/tex]
Explanation: To convert deciliters to dekaliters, you divide by 100 since one dekaliter (daL) is equal to 100 deciliters (dL). Therefore, [tex]\( 5 \div 100 = 0.05 \)[/tex].
C. [tex]\( 21 \, \text{m} = \)[/tex] 21000 [tex]\( \text{mm} \)[/tex]
Explanation: To convert meters to millimeters, you multiply by 1000 since there are 1000 millimeters in a meter. So, [tex]\( 21 \times 1000 = 21000 \)[/tex].
H. [tex]\( 301 \, \text{cm} = \)[/tex] 0.0301 [tex]\( \text{hm} \)[/tex]
Explanation: To convert centimeters to hectometers, you first convert centimeters to meters (divide by 100) and then meters to hectometers (divide by 100). Thus, [tex]\( 301 \div 100 = 3.01 \)[/tex] meters, and [tex]\( 3.01 \div 100 = 0.0301 \)[/tex] hectometers.
D. [tex]\( 20 \, \text{mL} = \)[/tex] 2.0 [tex]\( \text{cL} \)[/tex]
Explanation: To convert milliliters to centiliters, you divide by 10 since one centiliter (cL) is equal to 10 milliliters (mL). Therefore, [tex]\( 20 \div 10 = 2.0 \)[/tex].
I. [tex]\( 20 \, \text{mg} = \)[/tex] 0.02 [tex]\( \text{g} \)[/tex]
Explanation: To convert milligrams to grams, you divide by 1000 since there are 1000 milligrams in a gram. Thus, [tex]\( 20 \div 1000 = 0.02 \)[/tex].
E. [tex]\( 3 \, \text{L} = \)[/tex] 3000 [tex]\( \text{mL} \)[/tex]
Explanation: To convert liters to milliliters, you multiply by 1000 since one liter (L) is equal to 1000 milliliters (mL). Therefore, [tex]\( 3 \times 1000 = 3000 \)[/tex].
J. [tex]\( 3 \, \text{cg} = \)[/tex] 0.003 [tex]\( \text{dag} \)[/tex]
Explanation: To convert centigrams to dekagrams, you first convert centigrams to grams (divide by 100) and then grams to dekagrams (divide by 10). Thus, [tex]\( 3 \div 100 = 0.03 \)[/tex] grams, and [tex]\( 0.03 \div 10 = 0.003 \)[/tex] dekagrams.
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CONVERTING UNITS OF MEASUREMENT Within a Measurement System - Practice
1. Convert the amounts into the given units.
A. [tex]\( 24 \, \text{kg} = \)[/tex] 24000 [tex]\( \text{g} \)[/tex]
Explanation: To convert kilograms to grams, you multiply by 1000 since there are 1000 grams in a kilogram. Therefore, [tex]\( 24 \times 1000 = 24000 \)[/tex].
F. [tex]\( 13 \, \text{km} = \)[/tex] 13000 [tex]\( \text{m} \)[/tex]
Explanation: To convert kilometers to meters, you multiply by 1000 since there are 1000 meters in a kilometer. Thus, [tex]\( 13 \times 1000 = 13000 \)[/tex].
B. [tex]\( 4 \, \text{km} = \)[/tex] 400000 [tex]\( \text{cm} \)[/tex]
Explanation: To convert kilometers to centimeters, you first convert kilometers to meters (multiply by 1000) and then meters to centimeters (multiply by 100). Therefore, [tex]\( 4 \times 1000 = 4000 \)[/tex] meters, and [tex]\( 4000 \times 100 = 400000 \)[/tex] centimeters.
G. [tex]\( 5 \, \text{dL} = \)[/tex] 0.05 [tex]\( \text{daL} \)[/tex]
Explanation: To convert deciliters to dekaliters, you divide by 100 since one dekaliter (daL) is equal to 100 deciliters (dL). Therefore, [tex]\( 5 \div 100 = 0.05 \)[/tex].
C. [tex]\( 21 \, \text{m} = \)[/tex] 21000 [tex]\( \text{mm} \)[/tex]
Explanation: To convert meters to millimeters, you multiply by 1000 since there are 1000 millimeters in a meter. So, [tex]\( 21 \times 1000 = 21000 \)[/tex].
H. [tex]\( 301 \, \text{cm} = \)[/tex] 0.0301 [tex]\( \text{hm} \)[/tex]
Explanation: To convert centimeters to hectometers, you first convert centimeters to meters (divide by 100) and then meters to hectometers (divide by 100). Thus, [tex]\( 301 \div 100 = 3.01 \)[/tex] meters, and [tex]\( 3.01 \div 100 = 0.0301 \)[/tex] hectometers.
D. [tex]\( 20 \, \text{mL} = \)[/tex] 2.0 [tex]\( \text{cL} \)[/tex]
Explanation: To convert milliliters to centiliters, you divide by 10 since one centiliter (cL) is equal to 10 milliliters (mL). Therefore, [tex]\( 20 \div 10 = 2.0 \)[/tex].
I. [tex]\( 20 \, \text{mg} = \)[/tex] 0.02 [tex]\( \text{g} \)[/tex]
Explanation: To convert milligrams to grams, you divide by 1000 since there are 1000 milligrams in a gram. Thus, [tex]\( 20 \div 1000 = 0.02 \)[/tex].
E. [tex]\( 3 \, \text{L} = \)[/tex] 3000 [tex]\( \text{mL} \)[/tex]
Explanation: To convert liters to milliliters, you multiply by 1000 since one liter (L) is equal to 1000 milliliters (mL). Therefore, [tex]\( 3 \times 1000 = 3000 \)[/tex].
J. [tex]\( 3 \, \text{cg} = \)[/tex] 0.003 [tex]\( \text{dag} \)[/tex]
Explanation: To convert centigrams to dekagrams, you first convert centigrams to grams (divide by 100) and then grams to dekagrams (divide by 10). Thus, [tex]\( 3 \div 100 = 0.03 \)[/tex] grams, and [tex]\( 0.03 \div 10 = 0.003 \)[/tex] dekagrams.
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