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Ethan measured a line to be 14 inches long. If the actual length of the line is 14.5
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?

Sagot :

Answer: Estimate the length of each line segment in inches. Then  

measure it to the nearest —

1

2

— inch.

2.

Estimate: Actual:  

Estimate the length of each line segment. Then  

measure it to the nearest —

1

4

— inch.

3.

Estimate: Actual:  

4.

Estimate: Actual:  

Draw a line segment that has the given length.

5. 4 inches

6. 3—1

4

— inches

7. 4—

1

2

— inches

8. —3

4

— inch

9. Marta wants to make 4 necklaces that are the same  

length. She asks her friends to cut the string for the  

necklaces 15 paper clips long. Would all the  

lengths be the same? Explain your thinking.  

Answers will  

vary.

Answers will  

vary.

Answers will  

vary.

3 inches

2—

1

2

— inche

Step-by-step explanation:

Answer:

0.036 or 3.6%

Step-by-step explanation:

First you must set up the equation:

(|14.5 - 14|) / 14

0.5 / 14

0.036 x 100%

3.6%

Another Problem For Help With More Explanation:

Mathew goes to the store and gets 10 bananas, which he expects to be 4.1 pounds, however it turned out the actual weight was 3.9 pounds. What was the percent error of the measurement, to the neartest tenth of a percent?

So first you must take the 2 values you need out, which would be 4.1 pounds (the expected value) and 3.9 pounds (the actual value).

You then must set up the equation which is (|X-Y|)/Y.

X is the actual value, which would be 3.9 pounds and Y is the expected value, which would be 4.1.

You then plugin the numbers so you get (|3.9-4.1|) / 4.1.

Then follow PEMDAS, which would be the parantheses, so it would be |-0.2| / 4.1.

The absolute value of -0.2 is 0.2, since the absolute value makes it positive, no matter if it was already negative or positive.

You are then left with 0.2 / 4.1, which you then do the math for, with it equaling 0.048780.

You then do 0.048780 x 100%, to get the percent, which would be 4.8780%, however you would just need to round to the tenth of a percent, so it would be 4.9%. Hope this extra problem helps you understand the topic more! :}