Problem 860 Convert the units. Kitaka hike... [FREE SOLUTION]

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Chapter 1: Problem 860

Convert the units. Kitaka hiked 8 kilometers. Convert the length to meters.

Short Answer

Expert verified

8 kilometers = 8,000 meters

Step by step solution

Understand the Conversion Factor

To convert kilometers to meters, we need to know the conversion factor. There are 1,000 meters in 1 kilometer.

Set Up the Conversion

To convert 8 kilometers to meters, use the conversion factor calculated in Step 1. This can be done by multiplying the number of kilometers by the number of meters in a kilometer.

Perform the Calculation

Now, multiply 8 kilometers by 1,000 meters per kilometer: \( 8 \text{ km} \times 1000 \text{ m/km} = 8000 \text{ m} \).

Conclude the Conversion

After performing the multiplication, we find that 8 kilometers is equal to 8,000 meters.

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Key Concepts

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

Kilometers to Meters

Converting distances from kilometers to meters is a common task. Understanding how to do this can be very useful in many subject areas, including math and science.
Kilometers and meters both measure length, but they are different units. A kilometer is 1,000 times larger than a meter.
This means that 1 kilometer equals 1,000 meters. Understanding this relationship is the first step in converting between these units.

Conversion Factor

A conversion factor is a number used to change one set of units to another. It's like a key that unlocks the relationship between different measurements.
In this case, our conversion factor is 1,000 because there are 1,000 meters in 1 kilometer.
Each time you want to convert kilometers to meters, you will multiply the number of kilometers by this conversion factor.
Knowing the conversion factor allows you to quickly and accurately convert distances.

Multiplication

When converting kilometers to meters, we use multiplication. This is because we need to scale up the kilometer measurement to match the meter unit size.
For example, if Kitaka hiked 8 kilometers and we know there are 1,000 meters in a kilometer, we multiply:
\( 8 \text{ km} \times 1000 \text{ m/km} = 8000 \text{ m} \).
Multiplying by the conversion factor ensures that we accurately convert the units. The multiplication process scales the original value appropriately, reflecting the true length in meters.

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91影视

Convert the units. Kitaka hiked 8 kilometers. Convert the length to meters.

Short Answer

Step by step solution

Understand the Conversion Factor

Set Up the Conversion

Perform the Calculation

Conclude the Conversion

Key Concepts

Kilometers to Meters

Conversion Factor

Multiplication

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