Hi everyone! May anyone please tell me how to tell how many zeroe's are required in your answer when moving the decimal points in converting metric units? Thank you very much! Please help soon, if possible, as I
have a big test coming up!
For example, 5.17 kl= 51,700 Liters. Or is it 5,170? Please explain why!
Because it supposed to be how many numbers are to the right of the decimal point
1 liter of water have 1kg
5.17kg = 5.17 liters
It goes like this :
Kl Hl Decal L Decil Cl ml
To convert from Kl to L you multilply by 1000 (high to low multiply)
So, 5.17 * 1000 = 5170 L
Hi! I'd be happy to help you understand how to determine the number of zeros when converting metric units and why it's important. When converting metric units, you typically move the decimal point to the right or left to convert from one unit to another. The number of zeros you need in your answer depends on the conversion factor and the position of the decimal point in the original measurement.
To convert units in the metric system, you need to know the conversion factor between the two units. In the example you provided, the conversion factor between kiloliters (kl) and liters is 1 kiloliter = 1,000 liters.
When you multiply 5.17 kl by the conversion factor of 1,000 liters/1 kiloliter, you get 5,170 liters. To understand why there are three zeros in the answer, let's break it down:
- The original measurement is 5.17 kiloliters, which has two digits after the decimal point.
- The conversion factor has three zeros (1,000).
- When you multiply the original measurement by the conversion factor, the decimal point moves three places to the right. This movement requires adding three zeros to the answer to maintain the same value.
Therefore, the correct answer is 5,170 liters, with three zeros added to the original measurement.
It's important to pay attention to the units and the conversion factor when performing metric unit conversions. Keep in mind that each movement of the decimal point influences the number of zeros needed in the final answer.
Remember to check your work carefully and review the rules and examples provided in your study materials to ensure accuracy during your test. Good luck!