Select The Correct Answer.How Many Meters Is 32 Kilometers?A. 3.2 × 10 − 5 3.2 \times 10^{-5} 3.2 × 1 0 − 5 Meters B. 3.2 × 10 − 4 3.2 \times 10^{-4} 3.2 × 1 0 − 4 Meters C. 3.2 × 10 3 3.2 \times 10^3 3.2 × 1 0 3 Meters D. 3.2 × 10 4 3.2 \times 10^4 3.2 × 1 0 4 Meters E. 3.2 × 10 5 3.2 \times 10^5 3.2 × 1 0 5 Meters
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Understanding the Relationship Between Kilometers and Meters
When it comes to measuring distances, we often use kilometers and meters as our units of choice. However, it's essential to understand the relationship between these two units to accurately convert between them. In this article, we'll explore how to convert kilometers to meters and provide a step-by-step guide on how to solve the problem presented.
The Conversion Factor: 1 Kilometer = 1000 Meters
To convert kilometers to meters, we need to know the conversion factor. By definition, 1 kilometer is equal to 1000 meters. This means that to convert a distance from kilometers to meters, we simply need to multiply the number of kilometers by 1000.
Converting 32 Kilometers to Meters
Now that we know the conversion factor, let's apply it to the problem at hand. We want to convert 32 kilometers to meters. To do this, we'll multiply 32 by 1000.
The Calculation
32 kilometers x 1000 meters/kilometer = 32,000 meters
Evaluating the Answer Choices
Now that we've calculated the correct answer, let's evaluate the answer choices provided.
- A. meters: This answer is incorrect because it's too small. We know that 32 kilometers is equal to 32,000 meters, which is much larger than meters.
- B. meters: This answer is also incorrect because it's too small. We know that 32 kilometers is equal to 32,000 meters, which is much larger than meters.
- C. meters: This answer is incorrect because it's too small. We know that 32 kilometers is equal to 32,000 meters, which is much larger than meters.
- D. meters: This answer is incorrect because it's too small. We know that 32 kilometers is equal to 32,000 meters, which is much larger than meters.
- E. meters: This answer is incorrect because it's too large. We know that 32 kilometers is equal to 32,000 meters, which is much smaller than meters.
The Correct Answer
Based on our calculation, the correct answer is:
32 kilometers = 32,000 meters
However, we need to express this answer in scientific notation. To do this, we'll divide 32,000 by 10 and move the decimal point one place to the left.
32,000 ÷ 10 = 3,200
The Correct Answer in Scientific Notation
Now that we've expressed the answer in standard form, let's convert it to scientific notation.
3,200 = 3.2 x 10^3
Conclusion
In conclusion, to convert 32 kilometers to meters, we simply need to multiply 32 by 1000. The correct answer is 32,000 meters, which can be expressed in scientific notation as 3.2 x 10^3 meters.
Frequently Asked Questions
Q: How do I convert kilometers to meters?
A: To convert kilometers to meters, you simply need to multiply the number of kilometers by 1000.
Q: What is the conversion factor between kilometers and meters?
A: The conversion factor between kilometers and meters is 1 kilometer = 1000 meters.
Q: How do I express a number in scientific notation?
A: To express a number in scientific notation, you need to divide the number by 10 and move the decimal point one place to the left.
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Q: What is the relationship between kilometers and meters?
A: The relationship between kilometers and meters is that 1 kilometer is equal to 1000 meters. This means that to convert a distance from kilometers to meters, we simply need to multiply the number of kilometers by 1000.
Q: How do I convert kilometers to meters?
A: To convert kilometers to meters, you simply need to multiply the number of kilometers by 1000. For example, to convert 32 kilometers to meters, you would multiply 32 by 1000, which equals 32,000 meters.
Q: What is the conversion factor between kilometers and meters?
A: The conversion factor between kilometers and meters is 1 kilometer = 1000 meters. This means that to convert a distance from kilometers to meters, you can use this conversion factor.
Q: How do I express a number in scientific notation?
A: To express a number in scientific notation, you need to divide the number by 10 and move the decimal point one place to the left. For example, to express 32,000 in scientific notation, you would divide 32,000 by 10 and move the decimal point one place to the left, resulting in 3.2 x 10^4.
Q: What is the difference between standard form and scientific notation?
A: Standard form and scientific notation are two ways of expressing numbers. Standard form is a way of expressing numbers in a more compact form, while scientific notation is a way of expressing numbers in a more compact and precise form. For example, 32,000 can be expressed in standard form as 32,000, but in scientific notation as 3.2 x 10^4.
Q: How do I convert meters to kilometers?
A: To convert meters to kilometers, you need to divide the number of meters by 1000. For example, to convert 32,000 meters to kilometers, you would divide 32,000 by 1000, resulting in 32 kilometers.
Q: What are some common applications of converting kilometers to meters?
A: There are many common applications of converting kilometers to meters, including:
- Measuring distances in sports and athletics
- Measuring distances in geography and mapping
- Measuring distances in engineering and construction
- Measuring distances in science and research
Q: How do I use a calculator to convert kilometers to meters?
A: To use a calculator to convert kilometers to meters, you can simply multiply the number of kilometers by 1000. For example, to convert 32 kilometers to meters, you would enter 32 x 1000 into the calculator and press the equals button.
Q: What are some common mistakes to avoid when converting kilometers to meters?
A: Some common mistakes to avoid when converting kilometers to meters include:
- Forgetting to multiply the number of kilometers by 1000
- Using the wrong conversion factor
- Not expressing the answer in scientific notation
- Not checking the answer for accuracy
Q: How do I check my answer for accuracy when converting kilometers to meters?
A: To check your answer for accuracy when converting kilometers to meters, you can use a calculator to verify the answer. You can also check the answer by converting the answer back to kilometers and verifying that it matches the original value.
Conclusion
In conclusion, converting kilometers to meters is a simple process that involves multiplying the number of kilometers by 1000. By following the steps outlined in this article, you can accurately convert kilometers to meters and express the answer in scientific notation. Remember to check your answer for accuracy and use a calculator to verify the answer.