Answer :
To determine which statements about converting metric units are true, let's analyze each statement carefully:
1. There are 0.35 hectoliters in 35 deciliters.
- Conversion understanding:
- Hectoliters (hl) to Deciliters (dl): 1 hectoliter = 100 deciliters.
- To convert deciliters to hectoliters, divide the number of deciliters by 100.
- Calculation:
- 35 deciliters ÷ 100 = 0.35 hectoliters.
- Conclusion: This statement is actually true, so it seems there was an oversight in the final answer check there.
2. There are 7.62 centiliters in 762 liters.
- Conversion understanding:
- Liters to Centiliters: 1 liter = 100 centiliters.
- To convert liters to centiliters, multiply the number of liters by 100.
- Calculation:
- 762 liters × 100 = 76,200 centiliters.
- Conclusion: This statement is false.
3. There are 6.8 kiloliters in 68 hectoliters.
- Conversion understanding:
- Kiloliters (kl) to Hectoliters (hl): 1 kiloliter = 10 hectoliters.
- To convert hectoliters to kiloliters, divide the number of hectoliters by 10.
- Calculation:
- 68 hectoliters ÷ 10 = 6.8 kiloliters.
- Conclusion: This statement is actually true.
4. There are 0.75 deciliters in 7.5 liters.
- Conversion understanding:
- Liters to Deciliters: 1 liter = 10 deciliters.
- To convert liters to deciliters, multiply the number of liters by 10.
- Calculation:
- 7.5 liters × 10 = 75 deciliters.
- Conclusion: This statement is false.
Therefore, based on the correct conversions, the true statements are:
- "There are 0.35 hectoliters in 35 deciliters."
- "There are 6.8 kiloliters in 68 hectoliters."
1. There are 0.35 hectoliters in 35 deciliters.
- Conversion understanding:
- Hectoliters (hl) to Deciliters (dl): 1 hectoliter = 100 deciliters.
- To convert deciliters to hectoliters, divide the number of deciliters by 100.
- Calculation:
- 35 deciliters ÷ 100 = 0.35 hectoliters.
- Conclusion: This statement is actually true, so it seems there was an oversight in the final answer check there.
2. There are 7.62 centiliters in 762 liters.
- Conversion understanding:
- Liters to Centiliters: 1 liter = 100 centiliters.
- To convert liters to centiliters, multiply the number of liters by 100.
- Calculation:
- 762 liters × 100 = 76,200 centiliters.
- Conclusion: This statement is false.
3. There are 6.8 kiloliters in 68 hectoliters.
- Conversion understanding:
- Kiloliters (kl) to Hectoliters (hl): 1 kiloliter = 10 hectoliters.
- To convert hectoliters to kiloliters, divide the number of hectoliters by 10.
- Calculation:
- 68 hectoliters ÷ 10 = 6.8 kiloliters.
- Conclusion: This statement is actually true.
4. There are 0.75 deciliters in 7.5 liters.
- Conversion understanding:
- Liters to Deciliters: 1 liter = 10 deciliters.
- To convert liters to deciliters, multiply the number of liters by 10.
- Calculation:
- 7.5 liters × 10 = 75 deciliters.
- Conclusion: This statement is false.
Therefore, based on the correct conversions, the true statements are:
- "There are 0.35 hectoliters in 35 deciliters."
- "There are 6.8 kiloliters in 68 hectoliters."
