Problem 41 - Prealgebra

Question

Country - Jordan Bottle size - \(250 \mathrm{mL}\) Liters in a 6 -pack - ______________

Step-by-Step Solution

Answer

1.5 liters

Step 1: Understand the problem

The problem asks to find the total volume in liters of a 6-pack of bottles, where each bottle is of size 250 mL in Jordan.

Step 2: Convert milliliters to liters for one bottle

We know that 1 liter is equal to 1000 milliliters. So, to convert 250 mL to liters, use the conversion factor: \[\text{Liters per bottle} = \frac{250 ext{ mL}}{1000} = 0.25 ext{ liters}\]

Step 3: Calculate liters in a 6-pack

Since there are 6 bottles in a pack and each bottle has a volume of 0.25 liters, multiply the volume of one bottle by 6:\[\text{Liters in a 6-pack} = 0.25 ext{ liters/bottle} \times 6 \text{ bottles} = 1.5 ext{ liters}\]

Key Concepts

Volume Calculation

Volume calculation involves determining the amount of space an object or substance occupies. In the context of our example with a 6-pack of bottles, volume calculation helps us find out how much liquid is contained in the entire package. To determine this, we first considered the volume of a single bottle.

• Each bottle has a volume of 250 mL.
• Adding up the volume of each bottle in the pack gives us the total volume.

To calculate the total volume for a 6-pack, you multiply the volume of one bottle by 6. This step is essential for understanding the overall capacity of the bottles when grouped together. In practical terms, this calculation helps consumers and sellers get an accurate idea of how much liquid they are handling or selling.

Metric System

The metric system is an international system of measurement used by most countries around the world. It's based on powers of ten, making it simple to convert between units. In this exercise, we worked with two units: milliliters (mL) and liters (L).

• Milliliters are a smaller unit often used for measuring liquids in everyday contexts.
• Liters are a larger unit typically used for larger quantities of fluids.

In the problem, we converted from milliliters to liters. Knowing that 1 liter equals 1000 milliliters aids in understanding conversions within the metric system. This ensures clear communication and accuracy across various measurements and applications, making calculations straightforward and consistent.

Multiplication in Prealgebra

Multiplication in prealgebra is a fundamental concept that involves finding the total of one quantity repeated a certain number of times. It is key in problems that ask for the combined total or aggregate, like in our example of calculating the volume of a 6-pack.

• To determine the combined volume of the bottles, we multiplied the volume of one bottle (0.25 liters) by the number of bottles (6).
• This simple multiplication gives us the total volume of 1.5 liters for the entire 6-pack.

Understanding multiplication is crucial not only in mathematics but also in everyday life for tasks involving scaling up quantities, budgeting, and even cooking or business where bulk amounts are involved. Mastering these basic principles makes handling real-world problems easier.