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Chapter 1: Problem 33

Evaluate \(8 \mathrm{~km}+4 \mathrm{~m}\). Write the answer in kilometers.

Short Answer

Expert verified
8.004 km

Step by step solution

01

Identify Units

The given expression contains two different units: kilometers (km) and meters (m).
02

Convert Meters to Kilometers

Convert 4 meters to kilometers using the conversion factor. 1 kilometer is equal to 1000 meters. Therefore, \(4 \text{ m} = \frac{4}{1000} \text{ km} = 0.004 \text{ km}\).
03

Add Kilometers

Now add the converted value to the original kilometers. \(8 \text{ km} + 0.004 \text{ km} = 8.004 \text{ km}\).

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Key Concepts

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

kilometers to meters conversion
Unit conversion is necessary to combine measurements that are in different units. Here, we need to convert meters to kilometers to add them together.

Remember, 1 kilometer (km) is equal to 1000 meters (m).

Therefore, to convert meters to kilometers, you can use the formula: \(\text{{kilometers}} = \frac{{\text{{meters}}}}{1000}\).

In our problem, we convert 4 meters to kilometers: \(4 \text{{ m}} = \frac{{4}}{1000} = 0.004 \text{{ km}}\).

This conversion ensures both measurements are in the same units for addition.
adding measurements
Once both measurements are in the same unit, they can be added together. This is a straightforward arithmetic operation.

In our example, we had 8 kilometers and converted 4 meters to 0.004 kilometers. Now, we simply add these two values: \(8 \text{{ km}} + 0.004 \text{{ km}} = 8.004 \text{{ km}}\).

There is no need for additional conversion because they are now the same unit.

By ensuring both measurements are in the same units before adding, we get an accurate result.
basic arithmetic
Basic arithmetic operations, such as addition, are essential skills in math. They are used in many everyday calculations.

The process of adding two numbers involves combining their values. When adding, align the decimal points to ensure accuracy.

In our problem, the arithmetic is simple: \(8 + 0.004 = 8.004\).

Always check your work to ensure there are no mistakes. Practicing these basic operations helps build a strong foundation for more complex math concepts.

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Most popular questions from this chapter

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