The depth of a lake is 15.8m

Mathematics

1 answer:

Leya [2.2K]3 years ago

4 0

a. Jada got the measurement 16m.

b. The measured depth differ 0.2m from the actual depth.

c. There is a 12.66% error in calculation.

Step-by-step explanation:

Given,

The depth of lake = 15.8 m

a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get

When a digit after the decimal point is 5 or more than that, the number before decimal is rounded to the next number.

Therefore,

15.8 rounded to nearest number is 16.

The depth of lake measured by Jada = 16 m

Jada got the measurement 16m.

b. By how many meters does the measured depth differ from the actual depth?

Difference = Approx - Exact

Difference = 16 - 15.8 = 0.2m

The measured depth differ 0.2m from the actual depth.

c. Express the measurement error ad a percentage of the actual depth.

Percent error = $\frac{|approx-exact|}{exact}*100$

Percent error = $\frac{|2|}{15.8}*100 = \frac{200}{15.8}$

Percent error = 12.66%

There is a 12.66% error in calculation.

Keywords: percent, error

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