The depth of a lake is 15.8m a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get b. By how many meters does the measured depth differ from the actual depth? c. Express the measurement error ad a percentage of the actual depth.

Mathematics · Middle School · Thu Feb 04 2021

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 a. If Jada accurately measured the depth of the lake to the nearest meter, then she would have rounded the actual depth (15.8m) to the closest whole number. Since 15.8m is closer to 16m than it is to 15m, Jada's measurement would be 16 meters.

b. To determine by how many meters the measured depth differs from the actual depth, you subtract the actual depth from the measured depth. So, the difference is 16m (measured depth) - 15.8m (actual depth) = 0.2m.

c. To express the measurement error as a percentage of the actual depth, you divide the error by the actual depth and then multiply by 100. Therefore, the error percentage is (0.2m / 15.8m) * 100%. Calculating this gives you an error percentage of approximately 1.27%.

The steps are as follows: 1. Round the actual depth to the nearest meter to find Jada's measurement: 15.8m rounds up to 16m. 2. Calculate the difference: 16m - 15.8m = 0.2m. 3. Express this difference as a percentage: (0.2m / 15.8m) * 100% = 1.27%.