Answer :
Sure, let's go through a detailed, step-by-step solution to identify the pairs of measurements that Yuri might be converting when he moves the decimal point in the metric system.
Understanding the Metric System:
The table shows different metric units and their conversion factors:
- kilo- : 1,000
- hecto- : 100
- deka- : 10
- unit (liters) : 1
- deci- : 0.1
- centi- : 0.01
To convert between these units, you move the decimal point to the left or right.
### Pair Analysis
1. Kiloliters to Liters (kL to L)
- Conversion factor is 1,000, which implies you move the decimal point 3 places to the right (increasing the value).
- For example, 1 kiloliter equals 1,000 liters.
2. Centiliters to Hectoliters (cL to hL)
- Conversion factor is 0.01 centiliters per liter and 100 liters per hectoliter.
- The total conversion factor from centiliters to hectoliters is 0.01 / 100 = 0.0001.
- This means moving the decimal point 4 places to the left (decreasing the value).
3. Liters to Deciliters (L to dL)
- Conversion factor is 1 liter equals 10 deciliters.
- This means moving the decimal point 1 place to the right (increasing the value).
4. Deciliters to Hectoliters (dL to hL)
- Conversion factor is 0.1 deciliters per liter and 100 liters per hectoliter.
- The total conversion factor from deciliters to hectoliters is 0.1 / 100 = 0.001.
- This means moving the decimal point 3 places to the left (decreasing the value).
### Summary
Based on the conversion factor computations:
- Kiloliters to Liters: Moving the decimal point 3 places to the right.
- Centiliters to Hectoliters: Moving the decimal point 4 places to the left.
- Liters to Deciliters: Moving the decimal point 1 place to the right.
- Deciliters to Hectoliters: Moving the decimal point 3 places to the left.
Given that Yuri is specifically moving the decimal point to the left, the possible pairs of measurements are:
- Centiliters to Hectoliters
- Deciliters to Hectoliters
These conversions involve moving the decimal point to the left, which matches Yuri's action.
Understanding the Metric System:
The table shows different metric units and their conversion factors:
- kilo- : 1,000
- hecto- : 100
- deka- : 10
- unit (liters) : 1
- deci- : 0.1
- centi- : 0.01
To convert between these units, you move the decimal point to the left or right.
### Pair Analysis
1. Kiloliters to Liters (kL to L)
- Conversion factor is 1,000, which implies you move the decimal point 3 places to the right (increasing the value).
- For example, 1 kiloliter equals 1,000 liters.
2. Centiliters to Hectoliters (cL to hL)
- Conversion factor is 0.01 centiliters per liter and 100 liters per hectoliter.
- The total conversion factor from centiliters to hectoliters is 0.01 / 100 = 0.0001.
- This means moving the decimal point 4 places to the left (decreasing the value).
3. Liters to Deciliters (L to dL)
- Conversion factor is 1 liter equals 10 deciliters.
- This means moving the decimal point 1 place to the right (increasing the value).
4. Deciliters to Hectoliters (dL to hL)
- Conversion factor is 0.1 deciliters per liter and 100 liters per hectoliter.
- The total conversion factor from deciliters to hectoliters is 0.1 / 100 = 0.001.
- This means moving the decimal point 3 places to the left (decreasing the value).
### Summary
Based on the conversion factor computations:
- Kiloliters to Liters: Moving the decimal point 3 places to the right.
- Centiliters to Hectoliters: Moving the decimal point 4 places to the left.
- Liters to Deciliters: Moving the decimal point 1 place to the right.
- Deciliters to Hectoliters: Moving the decimal point 3 places to the left.
Given that Yuri is specifically moving the decimal point to the left, the possible pairs of measurements are:
- Centiliters to Hectoliters
- Deciliters to Hectoliters
These conversions involve moving the decimal point to the left, which matches Yuri's action.
