Question

The weight of a rock sample is measured to be 2.5 pounds. What is the percent of error in the measurement?

Answer 1

Answer:

2%

Step-by-step explanation:

The margin of error is understood to be half the value of the last significant place.

The last significant place for 2.5 pound is the tenths place.

A tenth is 0.1, so half of that is 0.05.

If 0.05 is the measurement error, the correct measurement will be:

2.5+0.05=2.552.5+0.05=2.55

or

2.5-0.05=2.452.5−0.05=2.45

So, percentage of error would be:

\frac{2.55-2.5}{2.55} *100

2.55

2.55−2.5

∗100

Similarly,

Percentage of error would be:

\frac{2.5-2.45}{2.45} *100

2.45

2.5−2.45

∗100

Which would equal 2% as your answer.

I hope you will be satisfied