The learner will find the relative error of measurement numbers rounded to the correct number of significant digits.

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Relative Error Set 1

Find the relative error of 2500 km. Round to the correct number of significant digits.

10.%
5.0%
1.0%
2.0%

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 2500 km. Round to the correct number of significant digits.

Correct Answer

2.0%

Explanation:

The greatest possible error for 2500 kilometers is 50 kilometers.

Since the accuracy of 2500 kilometers is 2, the relative error should have an accuracy of 2.

Relative error = $50 km over 2500 km$ ×100%

0.0002 ×100%=2.0%

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Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 2500 km. Round to the correct number of significant digits.

Your Answer

Correct Answer

2.0%

Explanation:

The greatest possible error for 2500 kilometers is 50 kilometers.

Since the accuracy of 2500 kilometers is 2, the relative error should have an accuracy of 2.

Relative error = $50 km over 2500 km$ ×100%

0.0002 ×100%=2.0%

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Question 1 of 10

Relative Error Set 1

Find the relative error of 12 pounds. Round to the correct number of significant digits.

0.42%
4.2%
2%
42%

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 12 pounds. Round to the correct number of significant digits.

Correct Answer

4.2%

Explanation:

The greatest possible error for 12 pounds is 0.5 pounds.

Since the accuracy of 12 pounds is 2, the relative error should have an accuracy of 2.

Relative error = $0.5 lb over 12 lb$ ×100%

0.042 ×100%=4.2%

Next Question

Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 12 pounds. Round to the correct number of significant digits.

Your Answer

Correct Answer

4.2%

Explanation:

The greatest possible error for 12 pounds is 0.5 pounds.

Since the accuracy of 12 pounds is 2, the relative error should have an accuracy of 2.

Relative error = $0.5 lb over 12 lb$ ×100%

0.042 ×100%=4.2%

Next Question

Question 1 of 10

Relative Error Set 1

Find the relative error of 125 ft. Round to the correct number of significant digits.

0.400%
4.00%
10.0%
0.004%

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 125 ft. Round to the correct number of significant digits.

Correct Answer

0.400%

Explanation:

The greatest possible error for 125 feet is 0.5 feet.

Since the accuracy of 125 feet is 3, the relative error should have an accuracy of 3.

Relative error = $0.5 feet over 125 feet$ ×100%

0.004 ×100% =0.400%

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Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 125 ft. Round to the correct number of significant digits.

Your Answer

Correct Answer

0.400%

Explanation:

The greatest possible error for 125 feet is 0.5 feet.

Since the accuracy of 125 feet is 3, the relative error should have an accuracy of 3.

Relative error = $0.5 feet over 125 feet$ ×100%

0.004 ×100% =0.400%

Next Question

Question 1 of 10

Relative Error Set 1

Find the relative error of 33.2 kg. Round to the correct number of significant digits.

30.0%
0.151%
0.00151%
0.300%

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 33.2 kg. Round to the correct number of significant digits.

Correct Answer

0.151%

Explanation:

The greatest possible error for 33.2 kilograms is 0.05 kilograms.

Since the accuracy of 33.2 kilograms is 3, the relative error should have an accuracy of 3.

Relative error = $0.05 kg over 33.2 kg$ ×100%

0.015 ×100%=0.150%

Next Question

Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 33.2 kg. Round to the correct number of significant digits.

Your Answer

Correct Answer

0.151%

Explanation:

The greatest possible error for 33.2 kilograms is 0.05 kilograms.

Since the accuracy of 33.2 kilograms is 3, the relative error should have an accuracy of 3.

Relative error = $0.05 kg over 33.2 kg$ ×100%

0.015 ×100%=0.150%

Next Question

Question 1 of 10

Relative Error Set 1

Find the relative error of 3000 miles. Round to the correct number of significant digits.

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 3000 miles. Round to the correct number of significant digits.

Correct Answer

20%

Explanation:

The greatest possible error for 3000 miles is 500 miles.

Since the accuracy of 3000 miles is 1, the relative error should have an accuracy of 1.

Relative error = $500 mi over 3000 mi$ ×100%

2×100%=20%

Next Question

Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 3000 miles. Round to the correct number of significant digits.

Your Answer

Correct Answer

20%

Explanation:

The greatest possible error for 3000 miles is 500 miles.

Since the accuracy of 3000 miles is 1, the relative error should have an accuracy of 1.

Relative error = $500 mi over 3000 mi$ ×100%

2×100%=20%

Next Question

Question 1 of 10

Relative Error Set 1

Find the relative error of 3 inches. Round to the correct number of significant digits.

0.2%
0.02%
4%
20%

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 3 inches. Round to the correct number of significant digits.

Correct Answer

20%

Explanation:

The greatest possible error for 3 inches is 0.5 inches.

Since the accuracy of 3 inches is 1, the relative error should have an accuracy of 1.

Relative error = $0.5 in over 3 in$ ×100%

0.02 ×100%=0.2%

Next Question

Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 3 inches. Round to the correct number of significant digits.

Your Answer

Correct Answer

20%

Explanation:

The greatest possible error for 3 inches is 0.5 inches.

Since the accuracy of 3 inches is 1, the relative error should have an accuracy of 1.

Relative error = $0.5 in over 3 in$ ×100%

0.02 ×100%=0.2%

Next Question

Question 1 of 10

Relative Error Set 1

Find the relative error of 40.2 ft. Round to the correct number of significant digits.

12%
0.12%
1%
0.124%

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 40.2 ft. Round to the correct number of significant digits.

Correct Answer

0.124%

Explanation:

The greatest possible error for 40.2 feet is 0.05 feet.

Since the accuracy of 40.2 feet is 3, the relative error should have an accuracy of 3.

Relative error = $0.05 ft over 40.2 ft$ ×100%

0.0124 ×100% = 0.124%

Next Question

Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 40.2 ft. Round to the correct number of significant digits.

Your Answer

Correct Answer

0.124%

Explanation:

The greatest possible error for 40.2 feet is 0.05 feet.

Since the accuracy of 40.2 feet is 3, the relative error should have an accuracy of 3.

Relative error = $0.05 ft over 40.2 ft$ ×100%

0.0124 ×100% = 0.124%

Next Question

Question 1 of 10

Relative Error Set 1

Find the relative error of 410 cm. Round to the correct number of significant digits.

4%
11%
1.2%
1.5%

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 410 cm. Round to the correct number of significant digits.

Correct Answer

1.2%

Explanation:

The greatest possible error for 410 centimeters is 5 centimeters.

Since the accuracy of 410 centimeters is 2, the relative error should have an accuracy of 2.

Relative error = $5 cm over 410 cm$ ×100%

0.012 ×100%=1.2%

Next Question

Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 410 cm. Round to the correct number of significant digits.

Your Answer

Correct Answer

1.2%

Explanation:

The greatest possible error for 410 centimeters is 5 centimeters.

Since the accuracy of 410 centimeters is 2, the relative error should have an accuracy of 2.

Relative error = $5 cm over 410 cm$ ×100%

0.012 ×100%=1.2%

Next Question

Question 1 of 10

Relative Error Set 1

Find the relative error of 0.036 seconds. Round to the correct number of significant digits.

13%
3%
1.4%
0.014%

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 0.036 seconds. Round to the correct number of significant digits.

Correct Answer

1.4%

Explanation:

The greatest possible error for 0.036 seconds is 0.0005 seconds.

Since the accuracy of 0.036 seconds is 2, the relative error should have an accuracy of 2.

Relative error = $0.0005 sec times$ ×100%

14 ×100%=1.4%

Next Question

Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 0.036 seconds. Round to the correct number of significant digits.

Your Answer

Correct Answer

1.4%

Explanation:

The greatest possible error for 0.036 seconds is 0.0005 seconds.

Since the accuracy of 0.036 seconds is 2, the relative error should have an accuracy of 2.

Relative error = $0.0005 sec times$ ×100%

14 ×100%=1.4%

Next Question

Question 1 of 10

Relative Error Set 1

Find the relative error of 130 m. Round to the correct number of significant digits.

5.0%
3.8%
0.38%
38%

Question 1 of 10

Relative Error Set 1

Correct!

Find the relative error of 130 m. Round to the correct number of significant digits.

Correct Answer

3.8%

Explanation:

The greatest possible error for 130 meters is 5 meters.

Since the accuracy of 130 meters is 2, the relative error should have an accuracy of 2.

Relative error = $5 m over 130m$ ×100%

0.0038 ×100%=3.8%

Finish

Question 1 of 10

Relative Error Set 1

Incorrect

Find the relative error of 130 m. Round to the correct number of significant digits.

Your Answer

Correct Answer

3.8%

Explanation:

The greatest possible error for 130 meters is 5 meters.

Since the accuracy of 130 meters is 2, the relative error should have an accuracy of 2.

Relative error = $5 m over 130m$ ×100%

0.0038 ×100%=3.8%

Finish

Question 1 of 10

Relative Error Set 1

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Question 1 of 10

Author

Emily Teller

Published: 3/28/2014

Last Updated: 3/28/2014

Tags

relative error

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Relative Error Set 1 by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.