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.

Respuesta :

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 = [tex]\frac{|approx-exact|}{exact}*100[/tex]

Percent error = [tex]\frac{|2|}{15.8}*100 = \frac{200}{15.8}[/tex]

Percent error = 12.66%

There is a 12.66% error in calculation.

Keywords: percent, error

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Answer:

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 =  

Percent error =  

Percent error = 12.66%

There is a 12.66% error in calculation.

Keywords: percent, error

Step-by-step explanation: