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Convert the following measurements:

i. \( 863 \, \text{cm} = \quad \text{m} \)

ii. \( 5{,}604 \, \text{g} = \quad \text{kg} \)

iii. \( 8{,}000 \, \text{g} = \quad \text{kg} \)

iv. \( 1.51 \, \text{ml} = \quad \text{l} \)

v. [tex]\( 1{,}000 \, \text{m} = \quad \text{km} \)[/tex]


Sagot :

Let's go through the unit conversions step-by-step:

i. Convert 863 cm to meters.
To convert centimeters to meters, we divide by 100 (since 1 meter = 100 centimeters).
[tex]\[ 863 \, \text{cm} = \frac{863}{100} \, \text{m} = 8.63 \, \text{m} \][/tex]

ii. Convert 5,604 g to kilograms and grams.
To convert grams to kilograms, we divide by 1000 (since 1 kilogram = 1000 grams).
[tex]\[ 5604 \, \text{g} = \frac{5604}{1000} \, \text{kg} = 5.604 \, \text{kg} \][/tex]
The remaining grams are straightforward:
[tex]\[ 5604 \, \text{g} = 5 \, \text{kg} \text{ and } 604 \, \text{g} \][/tex]

iii. Convert 8,000 g to kilograms.
[tex]\[ 8000 \, \text{g} = \frac{8000}{1000} \, \text{kg} = 8.0 \, \text{kg} \][/tex]

iv. Assuming the measure is already in milliliters, we just denote it as:
[tex]\[ 1.51 \, \text{ml} \][/tex]

v. Convert 1,000 meters to kilometers.
To convert meters to kilometers, we divide by 1000 (since 1 kilometer = 1000 meters).
[tex]\[ 1000 \, \text{m} = \frac{1000}{1000} \, \text{km} = 1.0 \, \text{km} \][/tex]

So the conversions result in:
i. \( 863 \, \text{cm} = 8.63 \, \text{m} \)
ii. \( 5604 \, \text{g} = 5.604 \, \text{kg} \text{ and } 604 \, \text{g} \)
iii. \( 8000 \, \text{g} = 8.0 \, \text{kg} \)
iv. \( 1.51 \, \text{ml} \)
v. [tex]\( 1000 \, \text{m} = 1.0 \, \text{km} \)[/tex]