Question

Convert the following metric measures by moving the decimal. \(130 \mathrm{~mL}=\) ______\(\mathrm{L}\)

Short answer

130 mL = 0.13 L

Step-by-step solution

Understand the Conversion Relationship

To convert milliliters to liters, we need to know the conversion factor. There are 1000 milliliters in 1 liter.

Set Up the Conversion

Since every 1000 mL equals 1 L, to convert mL to L, we will divide the number of milliliters by 1000.

Convert 130 mL to L

Take the given measurement in milliliters (130 mL) and divide it by 1000 to convert it into liters:\[130 \text{ mL} \div 1000 = 0.13 \text{ L}\]

Placement of Decimal

When dividing by 1000, shift the decimal point three places to the left in the number 130 (i.e., from 130. to 0.130), resulting in 0.13 L.

Key concepts

Decimal Manipulation

Decimal manipulation is a mathematical process of moving the decimal point to change a number’s value within the same measurement unit. It is essential for quick conversions between units, especially in metric systems.

When converting a number by decimal manipulation, you are essentially multiplying or dividing by factors of 10. For example, in our conversion from milliliters to liters, we mention moving the decimal three places. This is because we are dividing by 1000, which is the same as changing positions in powers of ten:

\[\text{Position changes for division:} \quad 130 \to 13.0 \to 1.30 \to 0.13\]

This shifting left results in each movement decreasing the number's magnitude by a factor of ten. Decimal manipulation is widely used because of its straightforwardness, making computations simpler and faster without lengthy calculations. Always remember:

• Right shift increases value in powers of ten.
• Left shift decreases value in powers of ten.

Volume Measurement

Volume measurement is the quantification of the three-dimensional space an object occupies or contains. In everyday life and science, measuring liquid volumes precisely is essential, and the metric system provides an efficient way to do so.

Typical units of volume in the metric system include milliliters (mL), liters (L), and cubic meters. These units can easily convert because they are based on powers of ten, aligning perfectly with the decimal system. This standardization ensures that volume measurements are consistent and broadly understood regardless of region or country.

Understanding how to convert between smaller units like milliliters and larger ones like liters forms the foundation of volume measurement in the metric system. Often, knowing a conversion factor—like 1000 mL is equivalent to 1 L—is key. It allows for quick calculations and comparisons:

• Make sure your starting unit is clearly indicated.
• Pick your endpoint unit, here it's liters (L).
• Apply the conversion (usually multiplication or division).

Milliliters to Liters Conversion

Converting milliliters to liters is a common task, especially in contexts like cooking, chemistry, or any activity involving liquids. The metric system makes this conversion straightforward due to its base-10 nature.

In this conversion, the fundamental principle is understanding the relationship: \[1 \text{ L} = 1000 \text{ mL}\]

With this, converting mL to L involves dividing by 1000. Specifically, taking the total volume in milliliters and applying the conversion:

\[ \text{Volume in liters} = \text{Volume in milliliters} \div 1000\]

For instance, if you have 130 mL and wish to convert to liters, the calculation is \[130 \div 1000 = 0.13\] L.

Remember to properly place the decimal point and verify by confirming that the shifted number now reflects its position in liters and is reasonable for the given context. This procedure is both efficient for your calculations and vital for achieving precise measurements in practical applications.