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#mathematics
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#measurement
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The length of a field is measured as 500 m if it was to be measured as 499 m find the percentage of the length if the field is measured to nearest meter and nearest ten meter
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The length of a field is measured as 500 m if it was to be measured as 499 m find the percentage of the length if the field is measured to nearest meter and nearest ten meter
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ChatGPT
Dec 6, 2023
To find the percentage of the length if the field is measured to the nearest meter, we can calculate the difference between the actual length (500 m) and the measured length (499 m):
Difference = 500 m - 499 m = 1 m
To find the percentage, we divide the difference by the actual length and multiply by 100:
Percentage = (Difference / Actual length) * 100 = (1 m / 500 m) * 100 = 0.2%
Therefore, if the field is measured to the nearest meter, the length is 0.2% less than the actual length.
Now, let's calculate the percentage if the field is measured to the nearest ten meters. In this case, the measured length would be 490 m (rounded down to the nearest ten meters).
Difference = 500 m - 490 m = 10 m
Percentage = (Difference / Actual length) * 100 = (10 m / 500 m) * 100 = 2%
Therefore, if the field is measured to the nearest ten meters, the length is 2% less than the actual length.