Answer :
Sure, let's go through each of the conversions step-by-step.
a) Converting 256 meters to centimeters and millimeters:
1. We know that 1 meter is equal to 100 centimeters.
2. Convert meters to centimeters:
[tex]\[ 256 \text{ meters} = 256 \times 100 = 25600 \text{ centimeters} \][/tex]
3. We also know that 1 meter is equal to 1000 millimeters.
4. Convert meters to millimeters:
[tex]\[ 256 \text{ meters} = 256 \times 1000 = 256000 \text{ millimeters} \][/tex]
Thus,
[tex]\[ 256 \text{ m} = 25600 \text{ cm} = 256000 \text{ mm} \][/tex]
b) Converting 3446 milligrams to grams and kilograms:
1. We know that 1000 milligrams is equal to 1 gram.
2. Convert milligrams to grams:
[tex]\[ 3446 \text{ milligrams} = \frac{3446}{1000} = 3.446 \text{ grams} \][/tex]
3. We also know that 1000 grams is equal to 1 kilogram.
4. Convert grams to kilograms:
[tex]\[ 3.446 \text{ grams} = \frac{3.446}{1000} = 0.003446 \text{ kilograms} \][/tex]
Thus,
[tex]\[ 3446 \text{ mg} = 3.446 \text{ g} = 0.003446 \text{ kg} \][/tex]
c) Converting 598 kiloliters to liters and milliliters:
1. We know that 1 kiloliter is equal to 1000 liters.
2. Convert kiloliters to liters:
[tex]\[ 598 \text{ kiloliters} = 598 \times 1000 = 598000 \text{ liters} \][/tex]
3. We also know that 1 liter is equal to 1000 milliliters.
4. Convert liters to milliliters:
[tex]\[ 598000 \text{ liters} = 598000 \times 1000 = 598000000 \text{ milliliters} \][/tex]
Thus,
[tex]\[ 598 \text{ kL} = 598000 \text{ L} = 598000000 \text{ mL} \][/tex]
d) Converting 118.75 kilometers to kilometers (integer part) and meters (remainding part):
1. We need to separate the integer part and the decimal part of the kilometers.
2. The integer part of 118.75 kilometers is 118 kilometers.
3. The decimal part (0.75) needs to be converted to meters. We know that 1 kilometer is 1000 meters.
4. Convert the decimal part to meters:
[tex]\[ 0.75 \text{ kilometers} = 0.75 \times 1000 = 750 \text{ meters} \][/tex]
Thus,
[tex]\[ 118.75 \text{ km} = 118 \text{ km} + 750 \text{ m} \][/tex]
e) Converting 6755 grams to kilograms and remaining grams:
1. We know that 1000 grams is equal to 1 kilogram.
2. Convert grams to kilograms and obtain the remaining grams:
[tex]\[ \text{Whole kilograms} = \left\lfloor \frac{6755}{1000} \right\rfloor = 6 \text{ kilograms} \][/tex]
[tex]\[ \text{Remaining grams} = 6755 - 6 \times 1000 = 6755 - 6000 = 755 \text{ grams} \][/tex]
Thus,
[tex]\[ 6755 \text{ g} = 6 \text{ kg} + 755 \text{ g} \][/tex]
f) Converting 28.7 kilograms to kilograms (integer part) and grams (remainding part):
1. We need to separate the integer part and the decimal part of the kilograms.
2. The integer part of 28.7 kilograms is 28 kilograms.
3. The decimal part (0.7) needs to be converted to grams. We know that 1 kilogram is 1000 grams.
4. Convert the decimal part to grams:
[tex]\[ 0.7 \text{ kilograms} = 0.7 \times 1000 = 700 \text{ grams} \][/tex]
Thus,
[tex]\[ 28.7 \text{ kg} = 28 \text{ kg} + 700 \text{ g} \][/tex]
To summarize, the conversions are:
a) [tex]\(256 \text{ m} = 25600 \text{ cm} = 256000 \text{ mm}\)[/tex]
b) [tex]\(3446 \text{ mg} = 3.446 \text{ g} = 0.003446 \text{ kg}\)[/tex]
c) [tex]\(598 \text{ kL} = 598000 \text{ L} = 598000000 \text{ mL}\)[/tex]
d) [tex]\(118.75 \text{ km} = 118 \text{ km} + 750 \text{ m}\)[/tex]
e) [tex]\(6755 \text{ g} = 6 \text{ kg} + 755 \text{ g}\)[/tex]
f) [tex]\(28.7 \text{ kg} = 28 \text{ kg} + 700 \text{ g}\)[/tex]
a) Converting 256 meters to centimeters and millimeters:
1. We know that 1 meter is equal to 100 centimeters.
2. Convert meters to centimeters:
[tex]\[ 256 \text{ meters} = 256 \times 100 = 25600 \text{ centimeters} \][/tex]
3. We also know that 1 meter is equal to 1000 millimeters.
4. Convert meters to millimeters:
[tex]\[ 256 \text{ meters} = 256 \times 1000 = 256000 \text{ millimeters} \][/tex]
Thus,
[tex]\[ 256 \text{ m} = 25600 \text{ cm} = 256000 \text{ mm} \][/tex]
b) Converting 3446 milligrams to grams and kilograms:
1. We know that 1000 milligrams is equal to 1 gram.
2. Convert milligrams to grams:
[tex]\[ 3446 \text{ milligrams} = \frac{3446}{1000} = 3.446 \text{ grams} \][/tex]
3. We also know that 1000 grams is equal to 1 kilogram.
4. Convert grams to kilograms:
[tex]\[ 3.446 \text{ grams} = \frac{3.446}{1000} = 0.003446 \text{ kilograms} \][/tex]
Thus,
[tex]\[ 3446 \text{ mg} = 3.446 \text{ g} = 0.003446 \text{ kg} \][/tex]
c) Converting 598 kiloliters to liters and milliliters:
1. We know that 1 kiloliter is equal to 1000 liters.
2. Convert kiloliters to liters:
[tex]\[ 598 \text{ kiloliters} = 598 \times 1000 = 598000 \text{ liters} \][/tex]
3. We also know that 1 liter is equal to 1000 milliliters.
4. Convert liters to milliliters:
[tex]\[ 598000 \text{ liters} = 598000 \times 1000 = 598000000 \text{ milliliters} \][/tex]
Thus,
[tex]\[ 598 \text{ kL} = 598000 \text{ L} = 598000000 \text{ mL} \][/tex]
d) Converting 118.75 kilometers to kilometers (integer part) and meters (remainding part):
1. We need to separate the integer part and the decimal part of the kilometers.
2. The integer part of 118.75 kilometers is 118 kilometers.
3. The decimal part (0.75) needs to be converted to meters. We know that 1 kilometer is 1000 meters.
4. Convert the decimal part to meters:
[tex]\[ 0.75 \text{ kilometers} = 0.75 \times 1000 = 750 \text{ meters} \][/tex]
Thus,
[tex]\[ 118.75 \text{ km} = 118 \text{ km} + 750 \text{ m} \][/tex]
e) Converting 6755 grams to kilograms and remaining grams:
1. We know that 1000 grams is equal to 1 kilogram.
2. Convert grams to kilograms and obtain the remaining grams:
[tex]\[ \text{Whole kilograms} = \left\lfloor \frac{6755}{1000} \right\rfloor = 6 \text{ kilograms} \][/tex]
[tex]\[ \text{Remaining grams} = 6755 - 6 \times 1000 = 6755 - 6000 = 755 \text{ grams} \][/tex]
Thus,
[tex]\[ 6755 \text{ g} = 6 \text{ kg} + 755 \text{ g} \][/tex]
f) Converting 28.7 kilograms to kilograms (integer part) and grams (remainding part):
1. We need to separate the integer part and the decimal part of the kilograms.
2. The integer part of 28.7 kilograms is 28 kilograms.
3. The decimal part (0.7) needs to be converted to grams. We know that 1 kilogram is 1000 grams.
4. Convert the decimal part to grams:
[tex]\[ 0.7 \text{ kilograms} = 0.7 \times 1000 = 700 \text{ grams} \][/tex]
Thus,
[tex]\[ 28.7 \text{ kg} = 28 \text{ kg} + 700 \text{ g} \][/tex]
To summarize, the conversions are:
a) [tex]\(256 \text{ m} = 25600 \text{ cm} = 256000 \text{ mm}\)[/tex]
b) [tex]\(3446 \text{ mg} = 3.446 \text{ g} = 0.003446 \text{ kg}\)[/tex]
c) [tex]\(598 \text{ kL} = 598000 \text{ L} = 598000000 \text{ mL}\)[/tex]
d) [tex]\(118.75 \text{ km} = 118 \text{ km} + 750 \text{ m}\)[/tex]
e) [tex]\(6755 \text{ g} = 6 \text{ kg} + 755 \text{ g}\)[/tex]
f) [tex]\(28.7 \text{ kg} = 28 \text{ kg} + 700 \text{ g}\)[/tex]
