Question

1. Find the greatest possible error for the measurement 4.7 cm.

Answer 1

1.) 0.05 cm

2.) 2%

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Answer 2

Answer:

1) Option A - 0.05 cm

2) Option A - 2%    

Step-by-step explanation:

1. Given : Measurement 4.7 cm.    

To find : The greatest possible error for the measurement 4.7 cm.

Solution :

The greatest possible error in a measurement is half of the measuring unit.

Measurement 4.7 cm.    

4.7 was measured to the nearest tenth of a cm or 0.1 cm

So the measuring unit is 0.1.

The GPE is half of 0.1

i.e, $\frac{0.1}{2}=0.05$

Therefore, Option A is correct.

The greatest possible error for the measurement 4.7 cm is 0.05 cm.

2. Given : The weight of a rock sample is measured to be 2.5 pounds.

To find : What is the percent of error in the measurement?

Solution :

Measurement 2.5 pounds,

2.5 was measured to the nearest tenth of a pound or 0.1 pounds

So the measuring unit is 0.1.

The GPE is half of 0.1

i.e, $\frac{0.1}{2}=0.05$

The greatest possible error for the measurement 2.5 pounds is 0.05 pounds.

The correct measurement are :

2.5+0.05=2.55

The percentage error would be:

$\frac{2.55-2.5}{2.55}\times 100=2%$

or  2.5-0.05=2.45

The percentage error would be:

$\frac{2.45-2.5}{2.45}\times 100=2%$

Therefore, Option A is correct.

The percent of error in the measurement is 2%.