Answer :
Let's go through each statement and check whether they are true or false using the metric conversion table:
1. Statement 1: "There are 0.35 hectoliters in 35 deciliters."
- According to the metric conversion table:
- 1 hectoliter = 100 deciliters.
- To convert 35 deciliters to hectoliters, divide by 100:
- [tex]\[ \text{Hectoliters} = \frac{35}{100} = 0.35 \text{ hectoliters} \][/tex]
- This statement is true.
2. Statement 2: "There are 7.62 centiliters in 762 liters."
- According to the metric conversion table:
- 1 liter = 100 centiliters.
- To convert 762 liters to centiliters, multiply by 100:
- [tex]\[ \text{Centiliters} = 762 \times 100 = 76,200 \text{ centiliters} \][/tex]
- The converted value doesn't match 7.62 centiliters, so this statement is false.
3. Statement 3: "There are 6.8 kiloliters in 68 hectoliters."
- According to the metric conversion table:
- 1 kiloliter = 10 hectoliters.
- To convert 68 hectoliters to kiloliters, divide by 10:
- [tex]\[ \text{Kiloliters} = \frac{68}{10} = 6.8 \text{ kiloliters} \][/tex]
- This statement is true.
4. Statement 4: "There are 0.75 deciliters in 7.5 liters."
- According to the metric conversion table:
- 1 liter = 10 deciliters.
- To convert 7.5 liters to deciliters, multiply by 10:
- [tex]\[ \text{Deciliters} = 7.5 \times 10 = 75 \text{ deciliters} \][/tex]
- The converted value doesn't match 0.75 deciliters, so this statement is false.
In conclusion, the true statements are:
- "There are 0.35 hectoliters in 35 deciliters."
- "There are 6.8 kiloliters in 68 hectoliters."
1. Statement 1: "There are 0.35 hectoliters in 35 deciliters."
- According to the metric conversion table:
- 1 hectoliter = 100 deciliters.
- To convert 35 deciliters to hectoliters, divide by 100:
- [tex]\[ \text{Hectoliters} = \frac{35}{100} = 0.35 \text{ hectoliters} \][/tex]
- This statement is true.
2. Statement 2: "There are 7.62 centiliters in 762 liters."
- According to the metric conversion table:
- 1 liter = 100 centiliters.
- To convert 762 liters to centiliters, multiply by 100:
- [tex]\[ \text{Centiliters} = 762 \times 100 = 76,200 \text{ centiliters} \][/tex]
- The converted value doesn't match 7.62 centiliters, so this statement is false.
3. Statement 3: "There are 6.8 kiloliters in 68 hectoliters."
- According to the metric conversion table:
- 1 kiloliter = 10 hectoliters.
- To convert 68 hectoliters to kiloliters, divide by 10:
- [tex]\[ \text{Kiloliters} = \frac{68}{10} = 6.8 \text{ kiloliters} \][/tex]
- This statement is true.
4. Statement 4: "There are 0.75 deciliters in 7.5 liters."
- According to the metric conversion table:
- 1 liter = 10 deciliters.
- To convert 7.5 liters to deciliters, multiply by 10:
- [tex]\[ \text{Deciliters} = 7.5 \times 10 = 75 \text{ deciliters} \][/tex]
- The converted value doesn't match 0.75 deciliters, so this statement is false.
In conclusion, the true statements are:
- "There are 0.35 hectoliters in 35 deciliters."
- "There are 6.8 kiloliters in 68 hectoliters."
