Problem 39 - Prealgebra

Question

Country - Estonia Bottle size - \(350 \mathrm{mL}\) Liters in a 6-pack _________

Step-by-Step Solution

Answer

The total volume of a 6-pack is \(2.1 \mathrm{L}\).

Step 1: Understanding the Problem

We need to find out the total volume in liters of a 6-pack of bottles, where each bottle has a volume of \(350 \mathrm{mL}\). Since there are 6 bottles in a pack, we need to calculate the volume of all six bottles combined.

Step 2: Calculating Total Volume in mL

The total volume in milliliters can be found by multiplying the volume of one bottle by the number of bottles in a 6-pack. So, calculate \(350 \mathrm{mL} \times 6\).

Step 3: Volume Calculation

Compute the multiplication: \(350 \times 6 = 2100\). So, the total volume in milliliters is \(2100 \mathrm{mL}\).

Step 4: Converting mL to Liters

To convert milliliters to liters, divide the total volume in milliliters by \(1000\), since there are \(1000 \mathrm{mL}\) in \(1 \mathrm{L}\). Thus, divide \(2100 \mathrm{mL}\) by \(1000\).

Step 5: Round Final Calculation

\(\frac{2100}{1000} = 2.1\). So, the total volume of the 6-pack is \(2.1 \mathrm{L}\).

Key Concepts

milliliters to liters

Understanding how to convert milliliters (mL) to liters (L) is a useful skill in handling liquid measurements. Milliliters and liters are both units of volume in the metric system. The metric system is favored for its simplicity and consistency compared to other systems.

Here's a simple rule to remember the conversion process:

• 1 liter (L) = 1000 milliliters (mL).

To convert milliliters to liters, you divide the number of milliliters by 1000.
This division provides a conversion factor that shows how many liters there are.
So if you have a volume of 2100 mL, you divide by 1000 to determine that it equals 2.1 L.
Learning this conversion will streamline many calculations, especially when dealing with large volumes in milliliters.

unit conversion

Unit conversion is the process of converting values from one unit of measurement to a different unit. This is important in everyday problems as different scenarios may require different units. Understanding conversions simplifies making comparisons across different units.

For measurements in the metric system:

• Start by understanding the relationship between the units you are converting from and to (e.g., between mL and L).
• Use a consistent conversion factor, such as 1000 mL = 1 L for liquid volume.

Unit conversion might seem intimidating at first, but with practice, it becomes second nature.
Just identify the units, apply the conversion factor, and solve. This is applicable in other measurements, too, such as weights and lengths.

basic multiplication

Basic multiplication is a fundamental mathematical operation that involves adding a number (the multiplicand) to itself a specified number of times (the multiplier). In this exercise, it helps to calculate the total volume of multiple objects, such as bottles.

Here's a breakdown:

• To find the total volume of 6 bottles each holding 350 mL, multiply 6 (number of bottles) by 350 mL (volume per bottle).
• The multiplication formula is: Total Volume = Number of Objects × Volume per Object
• Solve: 350 mL × 6 = 2100 mL

The result, 2100 mL, represents the total combined volume of all bottles.
This basic arithmetic operation allows finding totals or aggregates by duplicating quantities multiple times.

prealgebra steps

Prealgebra serves as the introduction to understanding algebraic concepts. It helps hone the skills necessary for solving equations by breaking down problems into understandable parts. With prealgebra, students learn to see the logical sequence of operations to solve a problem effectively.

The steps generally include:

• Identify the problem and what is being asked.
• Translate details into mathematical expressions (e.g., the total volume in milliliters).
• Perform arithmetic calculations like multiplication.
• Conduct unit conversions if necessary (milliliters to liters).
• Arrive at the final solution through stepwise operations.

Prealgebra lays the groundwork for algebra and other advanced math courses by fostering systematic reasoning and problem-solving skills.