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Chapter 9: Problem 52

Convert as indicated. $$ 0.48 \mathrm{kl} \text { to liters } $$

Short Answer

Expert verified
0.48 kiloliters is 480 liters.

Step by step solution

01

Understanding Liters to Kiloliters Conversion

The prefix 'kilo-' means 1000. Therefore, 1 kiloliter (kl) equals 1000 liters (l). We can use this conversion factor to convert between kiloliters and liters.
02

Set Up the Conversion Equation

To convert from kiloliters to liters, multiply the number of kiloliters by the conversion factor 1000.\[0.48 \, \text{kl} \times 1000 = \, ? \, \text{l}\]
03

Perform the Multiplication

Calculate the multiplication:\[0.48 \times 1000 = 480\]
04

State the Result in Liters

The conversion result is 480 liters. Thus, 0.48 kiloliters is equivalent to 480 liters.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Kiloliter to Liter Conversion
Converting between kiloliters and liters is a straightforward process once you understand the meaning of the metric prefix 'kilo-'. In the metric system, 'kilo-' represents 1000, which means that 1 kiloliter (kl) equals 1000 liters (l). This conversion factor is crucial for accurately converting water, or any liquid volume, when measuring large quantities.
To perform a conversion from kiloliters to liters, you simply multiply the number of kiloliters by 1000. This method ensures that the quantity is accurately scaled to the correct unit. Remember that this approach is standard for converting any kilounit to its base unit in the metric system.
Metric System
The metric system is a globally accepted way of measuring different quantities, characterized by the use of prefixes that denote multiples of ten. This simplicity makes it very easy to convert between units.
For example, kiloliter is a unit of volume in the metric system where 'kilo-' means 1000. Therefore, when you're working with metric units, understanding these prefixes allows you to intuitively handle conversions.
  • The metric system is designed around powers of ten, making calculations straightforward.
  • Commonly used metric prefixes include: milli- (0.001), centi- (0.01), and kilo- (1000).
By mastering these prefixes, you can efficiently convert between units without confusion.
Multiplication in Conversions
In unit conversions, multiplication plays an essential role, especially when changing a measurement to a smaller or larger unit. Multiplication helps scale the original measurement by a conversion factor to reach the desired unit of measurement.
When you know the conversion rate (like 1 kl = 1000 l), multiplying your initial measure by this rate adjusts the magnitude of your original value appropriately.
  • Choose the correct conversion factor according to your task鈥攈ere, the factor is 1000 for kiloliters to liters.
  • Multiply the given quantity by this factor.
This method ensures that your conversions are precise and in line with the applicable unit scale.

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