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Chapter 8: Problem 80

A bottle of water holds \(710 \mathrm{mL}\). How many liters are in a 6 -pack?

Short Answer

Expert verified
A 6-pack contains 4.26 liters.

Step by step solution

01

Convert milliliters to liters

Remember that there are 1000 milliliters in a liter. To convert the volume of one bottle to liters, divide the milliliters by 1000. \[ \text{Volume of one bottle in liters} = \frac{710 \text{ mL}}{1000} = 0.71 \text{ L} \]
02

Calculate the total volume for the 6-pack

Multiply the volume of one bottle by the number of bottles in the pack. \[ \text{Total volume in liters} = 0.71 \text{ L} \times 6 = 4.26 \text{ L} \]

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Key Concepts

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

milliliters to liters conversion
When converting milliliters (mL) to liters (L), it's important to remember that there are 1,000 milliliters in a liter. This is a fundamental unit conversion in the metric system. For example, if you have a bottle containing 710 mL of water and you want to convert it to liters, you need to divide 710 by 1,000.

The mathematical expression is: \( \text{Volume in liters} = \frac{710 \text{ mL}}{1000} = 0.71 \text{ L} \)

This conversion is helpful in many real-world situations, such as understanding beverage sizes, cooking measurements, and scientific experiments.
multiplication in real-world problems
Multiplication is a core mathematical operation that is often used to solve real-world problems. In this exercise, after converting the volume from milliliters to liters, we need to find the total volume of a 6-pack of bottles. This involves multiplying the volume of one bottle by the number of bottles in the pack.

The calculation here is: \( \text{Total volume in liters} = 0.71 \text{ L} \times 6 = 4.26 \text{ L} \)

Understanding how to use multiplication in practical scenarios helps in areas such as shopping, cooking large meals, or calculating total distances covered in multiple trips.
unit conversion in measurements
Unit conversion is an essential skill in mathematics and daily life. It allows for better understanding and communication when dealing with different measurement units. Converting from smaller units to larger units (or vice versa) is useful in various contexts such as science, engineering, and everyday tasks.

To convert units correctly:
  • Identify the relationship between the units (e.g., 1 liter = 1,000 milliliters).
  • Use division or multiplication to make the conversion.
  • Double-check your calculations for accuracy.


Mastering unit conversions ensures that you can handle diverse measurement systems and solve problems accurately.

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