. Convert the given measure to the indicated unit: 1. 2700 m = km 2. 578.4 dm = cm 3. 24.93 km = m 4. 816 cm = mm 5. 46 m = cm 6. 53,172 m = mm 7. 92 tons = kg 8. 36 yards = feet 9. 8 feet = inches 10. 9 miles = yards
The Correct Answer and Explanation is:
Here are the conversions for each of the given measures:
- 2700 meters to kilometers
1 km=1000 m1 \, \text{km} = 1000 \, \text{m}1km=1000m
So, 2700 m=27001000=2.7 km2700 \, \text{m} = \frac{2700}{1000} = 2.7 \, \text{km}2700m=10002700=2.7km. - 578.4 decimeters to centimeters
1 dm=10 cm1 \, \text{dm} = 10 \, \text{cm}1dm=10cm
So, 578.4 dm=578.4×10=5784 cm578.4 \, \text{dm} = 578.4 \times 10 = 5784 \, \text{cm}578.4dm=578.4×10=5784cm. - 24.93 kilometers to meters
1 km=1000 m1 \, \text{km} = 1000 \, \text{m}1km=1000m
So, 24.93 km=24.93×1000=24,930 m24.93 \, \text{km} = 24.93 \times 1000 = 24,930 \, \text{m}24.93km=24.93×1000=24,930m. - 816 centimeters to millimeters
1 cm=10 mm1 \, \text{cm} = 10 \, \text{mm}1cm=10mm
So, 816 cm=816×10=8160 mm816 \, \text{cm} = 816 \times 10 = 8160 \, \text{mm}816cm=816×10=8160mm. - 46 meters to centimeters
1 m=100 cm1 \, \text{m} = 100 \, \text{cm}1m=100cm
So, 46 m=46×100=4600 cm46 \, \text{m} = 46 \times 100 = 4600 \, \text{cm}46m=46×100=4600cm. - 53,172 meters to millimeters
1 m=1000 mm1 \, \text{m} = 1000 \, \text{mm}1m=1000mm
So, 53,172 m=53,172×1000=53,172,000 mm53,172 \, \text{m} = 53,172 \times 1000 = 53,172,000 \, \text{mm}53,172m=53,172×1000=53,172,000mm. - 92 tons to kilograms
1 ton=1000 kg1 \, \text{ton} = 1000 \, \text{kg}1ton=1000kg
So, 92 tons=92×1000=92,000 kg92 \, \text{tons} = 92 \times 1000 = 92,000 \, \text{kg}92tons=92×1000=92,000kg. - 36 yards to feet
1 yard=3 feet1 \, \text{yard} = 3 \, \text{feet}1yard=3feet
So, 36 yards=36×3=108 feet36 \, \text{yards} = 36 \times 3 = 108 \, \text{feet}36yards=36×3=108feet. - 8 feet to inches
1 foot=12 inches1 \, \text{foot} = 12 \, \text{inches}1foot=12inches
So, 8 feet=8×12=96 inches8 \, \text{feet} = 8 \times 12 = 96 \, \text{inches}8feet=8×12=96inches. - 9 miles to yards
1 mile=1760 yards1 \, \text{mile} = 1760 \, \text{yards}1mile=1760yards
So, 9 miles=9×1760=15,840 yards9 \, \text{miles} = 9 \times 1760 = 15,840 \, \text{yards}9miles=9×1760=15,840yards.
Explanation:
To convert between different units of measurement, you need to use conversion factors that relate the units to one another. These factors are based on the definitions of the units and can usually be found in measurement charts or tables.
For example:
- To convert from meters to kilometers, you divide by 1000 because 1 kilometer equals 1000 meters.
- To convert from decimeters to centimeters, you multiply by 10 because there are 10 centimeters in 1 decimeter.
- When converting units like tons to kilograms, you multiply by 1000, since 1 ton is equivalent to 1000 kilograms.
The key is knowing the basic conversion factor and applying it consistently.
