Answer :
To determine which statement about converting metric units is true, let's analyze them one by one:
1. There are 0.35 hectoliters in 35 deciliters.
- To convert hectoliters to deciliters:
- 1 hectoliter = 100 liters
- 1 liter = 10 deciliters
- Therefore, 1 hectoliter = 100 10 = 1,000 deciliters
- Convert 0.35 hectoliters to deciliters:
- 0.35 hectoliters = 0.35 1,000 deciliters = 350 deciliters
- Thus, this statement is true because 350 deciliters is correct for 0.35 hectoliters.
2. There are 7.62 centiliters in 762 liters.
- To convert liters to centiliters:
- 1 liter = 100 centiliters
- Convert 762 liters to centiliters:
- 762 liters = 762 100 centiliters = 76,200 centiliters
- Thus, this statement is false because 7.62 centiliters does not match 762 liters.
3. There are 6.8 kiloliters in 68 hectoliters.
- To convert hectoliters to kiloliters:
- 10 hectoliters = 1 kiloliter
- Convert 68 hectoliters to kiloliters:
- 68 hectoliters = 68 / 10 kiloliters = 6.8 kiloliters
- Thus, this statement is true.
4. There are 0.75 deciliters in 7.5 liters.
- To convert liters to deciliters:
- 1 liter = 10 deciliters
- Convert 7.5 liters to deciliters:
- 7.5 liters = 7.5 10 deciliters = 75 deciliters
- Thus, this statement is false because 0.75 deciliters does not match 7.5 liters.
In conclusion, statements 1 and 3 are true, while statements 2 and 4 are false.
1. There are 0.35 hectoliters in 35 deciliters.
- To convert hectoliters to deciliters:
- 1 hectoliter = 100 liters
- 1 liter = 10 deciliters
- Therefore, 1 hectoliter = 100 10 = 1,000 deciliters
- Convert 0.35 hectoliters to deciliters:
- 0.35 hectoliters = 0.35 1,000 deciliters = 350 deciliters
- Thus, this statement is true because 350 deciliters is correct for 0.35 hectoliters.
2. There are 7.62 centiliters in 762 liters.
- To convert liters to centiliters:
- 1 liter = 100 centiliters
- Convert 762 liters to centiliters:
- 762 liters = 762 100 centiliters = 76,200 centiliters
- Thus, this statement is false because 7.62 centiliters does not match 762 liters.
3. There are 6.8 kiloliters in 68 hectoliters.
- To convert hectoliters to kiloliters:
- 10 hectoliters = 1 kiloliter
- Convert 68 hectoliters to kiloliters:
- 68 hectoliters = 68 / 10 kiloliters = 6.8 kiloliters
- Thus, this statement is true.
4. There are 0.75 deciliters in 7.5 liters.
- To convert liters to deciliters:
- 1 liter = 10 deciliters
- Convert 7.5 liters to deciliters:
- 7.5 liters = 7.5 10 deciliters = 75 deciliters
- Thus, this statement is false because 0.75 deciliters does not match 7.5 liters.
In conclusion, statements 1 and 3 are true, while statements 2 and 4 are false.