Answer :
Sure! Let's solve the problem step-by-step.
Yuri needs to move the decimal point three units to the left in a measurement, which means he is making a conversion in the metric system where the decimal point moves three places.
To solve this, we will look at what conversions involve shifting the decimal point three places to the left according to the metric table:
1. kiloliters to liters:
- Kiloliters (kL) are larger units compared to liters (L). When converting from kiloliters to liters, you move the decimal point three places to the right. However, if Yuri moves the decimal point three units to the left, we would be going from a larger unit to a smaller one, which still makes sense, except that we move to the larger unit, i.e., from smaller to larger (i.e., 1,000 times smaller) as L is 1,000 times more than kL.
2. centiliters to hectoliters:
- Switching from centiliters (cL) to hectoliters (hL) would require moving the decimal five places to the left since centiliters to liters alone involves two places to the right, and liters to hectoliters three more.
3. liters to deciliters:
- Liters (L) to deciliters (dL) involves moving the decimal point one place to the right.
4. deciliters to hectoliters:
- Switching from deciliters (dL) to hectoliters (hL) would require moving four places to the left since deciliters to liters are one place to the left, and liters to hectoliters three more.
Based on these observations, converting from kiloliters to liters is the scenario where the decimal point moves three places because the conversion involves a shift where you would typically increase the granularity by moving left for smaller represented units.
Thus, the correct pair of measurements Yuri could be converting is from kiloliters to liters.
Yuri needs to move the decimal point three units to the left in a measurement, which means he is making a conversion in the metric system where the decimal point moves three places.
To solve this, we will look at what conversions involve shifting the decimal point three places to the left according to the metric table:
1. kiloliters to liters:
- Kiloliters (kL) are larger units compared to liters (L). When converting from kiloliters to liters, you move the decimal point three places to the right. However, if Yuri moves the decimal point three units to the left, we would be going from a larger unit to a smaller one, which still makes sense, except that we move to the larger unit, i.e., from smaller to larger (i.e., 1,000 times smaller) as L is 1,000 times more than kL.
2. centiliters to hectoliters:
- Switching from centiliters (cL) to hectoliters (hL) would require moving the decimal five places to the left since centiliters to liters alone involves two places to the right, and liters to hectoliters three more.
3. liters to deciliters:
- Liters (L) to deciliters (dL) involves moving the decimal point one place to the right.
4. deciliters to hectoliters:
- Switching from deciliters (dL) to hectoliters (hL) would require moving four places to the left since deciliters to liters are one place to the left, and liters to hectoliters three more.
Based on these observations, converting from kiloliters to liters is the scenario where the decimal point moves three places because the conversion involves a shift where you would typically increase the granularity by moving left for smaller represented units.
Thus, the correct pair of measurements Yuri could be converting is from kiloliters to liters.
