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Sagot :
To solve the problem of converting 410 meters to kilometers using the given ratio, follow these steps:
1. Start with the given value in meters: You have 410 meters that you need to convert to kilometers.
2. Understand the conversion ratio: You need to use the ratio 1,000 meters per 1 kilometer for the conversion. This ratio means that 1 kilometer is equivalent to 1,000 meters.
3. Apply the conversion ratio: To convert meters to kilometers, you need to divide the number of meters by the number of meters in one kilometer.
4. Perform the division: Divide 410 meters by 1,000 meters per kilometer.
[tex]\[ \frac{410 \text{ meters}}{1,000 \text{ meters per kilometer}} = 0.41 \text{ kilometers} \][/tex]
5. Evaluate the statement: The question asks whether using the ratio [tex]\(\frac{1,000 \text{ meters}}{1 \text{ kilometer}}\)[/tex] is true or false for this conversion. Given this is the appropriate conversion ratio from meters to kilometers, the statement is true.
Therefore, the correct answers are:
- The converted value is [tex]\(0.41\)[/tex] kilometers.
- The statement "To convert 410 meters to kilometers, you would use the ratio 1,000 meters / 1 kilometer" is true.
So, your answers are:
0.41 kilometers and True for using the conversion ratio.
1. Start with the given value in meters: You have 410 meters that you need to convert to kilometers.
2. Understand the conversion ratio: You need to use the ratio 1,000 meters per 1 kilometer for the conversion. This ratio means that 1 kilometer is equivalent to 1,000 meters.
3. Apply the conversion ratio: To convert meters to kilometers, you need to divide the number of meters by the number of meters in one kilometer.
4. Perform the division: Divide 410 meters by 1,000 meters per kilometer.
[tex]\[ \frac{410 \text{ meters}}{1,000 \text{ meters per kilometer}} = 0.41 \text{ kilometers} \][/tex]
5. Evaluate the statement: The question asks whether using the ratio [tex]\(\frac{1,000 \text{ meters}}{1 \text{ kilometer}}\)[/tex] is true or false for this conversion. Given this is the appropriate conversion ratio from meters to kilometers, the statement is true.
Therefore, the correct answers are:
- The converted value is [tex]\(0.41\)[/tex] kilometers.
- The statement "To convert 410 meters to kilometers, you would use the ratio 1,000 meters / 1 kilometer" is true.
So, your answers are:
0.41 kilometers and True for using the conversion ratio.
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