Answer :
To determine which statement about converting metric units is true, let's look at each option one by one:
1. There are 0.35 hectoliters in 35 deciliters.
To check this, we need to convert 0.35 hectoliters to deciliters.
- A hectoliter is equivalent to 100 liters, and a deciliter is 0.1 liters.
- Thus, to convert hectoliters to deciliters, we multiply by 1000 (since 1 hectoliter = 1000 deciliters).
- Therefore, 0.35 hectoliters × 1000 = 350 deciliters.
Since 350 deciliters is not equal to 35 deciliters, this statement is false.
2. There are 7.62 centiliters in 762 liters.
To verify this, we need to convert 762 liters to centiliters.
- A liter is equivalent to 100 centiliters.
- Thus, to convert liters to centiliters, we multiply by 100.
- Therefore, 762 liters × 100 = 76,200 centiliters.
Since 76,200 centiliters is not 7.62 centiliters, this statement is false.
3. There are 6.8 kiloliters in 68 hectoliters.
To confirm this, we need to convert 6.8 kiloliters to hectoliters.
- A kiloliter is equivalent to 1,000 liters, and a hectoliter is 100 liters.
- Thus, to convert kiloliters to hectoliters, we multiply by 10 (since 1 kiloliter = 10 hectoliters).
- Therefore, 6.8 kiloliters × 10 = 68 hectoliters.
Since 6.8 kiloliters is equal to 68 hectoliters, this statement is true.
4. There are 0.75 deciliters in 7.5 liters.
To check this, we need to convert 7.5 liters to deciliters.
- A liter is equivalent to 10 deciliters.
- Thus, to convert liters to deciliters, we multiply by 10.
- Therefore, 7.5 liters × 10 = 75 deciliters.
Since 75 deciliters is not equal to 0.75 deciliters, this statement is false.
After reviewing each statement, the true statement is: There are 6.8 kiloliters in 68 hectoliters.
1. There are 0.35 hectoliters in 35 deciliters.
To check this, we need to convert 0.35 hectoliters to deciliters.
- A hectoliter is equivalent to 100 liters, and a deciliter is 0.1 liters.
- Thus, to convert hectoliters to deciliters, we multiply by 1000 (since 1 hectoliter = 1000 deciliters).
- Therefore, 0.35 hectoliters × 1000 = 350 deciliters.
Since 350 deciliters is not equal to 35 deciliters, this statement is false.
2. There are 7.62 centiliters in 762 liters.
To verify this, we need to convert 762 liters to centiliters.
- A liter is equivalent to 100 centiliters.
- Thus, to convert liters to centiliters, we multiply by 100.
- Therefore, 762 liters × 100 = 76,200 centiliters.
Since 76,200 centiliters is not 7.62 centiliters, this statement is false.
3. There are 6.8 kiloliters in 68 hectoliters.
To confirm this, we need to convert 6.8 kiloliters to hectoliters.
- A kiloliter is equivalent to 1,000 liters, and a hectoliter is 100 liters.
- Thus, to convert kiloliters to hectoliters, we multiply by 10 (since 1 kiloliter = 10 hectoliters).
- Therefore, 6.8 kiloliters × 10 = 68 hectoliters.
Since 6.8 kiloliters is equal to 68 hectoliters, this statement is true.
4. There are 0.75 deciliters in 7.5 liters.
To check this, we need to convert 7.5 liters to deciliters.
- A liter is equivalent to 10 deciliters.
- Thus, to convert liters to deciliters, we multiply by 10.
- Therefore, 7.5 liters × 10 = 75 deciliters.
Since 75 deciliters is not equal to 0.75 deciliters, this statement is false.
After reviewing each statement, the true statement is: There are 6.8 kiloliters in 68 hectoliters.
