Name: 
 

Significant Figures



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

Which of the following measurements contains two significant figures?
a.
0.004 00 L
c.
0.000 44 L
b.
0.004 04 L
d.
0.004 40 L
 

 2. 

Which of the following measurements is expressed to three significant figures?
a.
0.007 m
c.
7.30 sigfigs_files/i0030000.jpg 10sigfigs_files/i0030001.jpg km
b.
7077 mg
d.
0.070 mm
 

 3. 

In the measurement 0.503 L, which digit is the estimated digit?
a.
5
b.
the 0 immediately to the left of the 3
c.
3
d.
the 0 to the left of the decimal point
 

 4. 

How many significant figures are in the measurement 0.003 4 kg?
a.
two
c.
five
b.
four
d.
This cannot be determined.
 

 5. 

How many significant figures are in the measurement 40,500 mg?
a.
two
c.
four
b.
three
d.
five
 

 6. 

How many significant figures are in the measurement 811.40 grams?
a.
two
c.
four
b.
three
d.
five
 

 7. 

Express the sum of 1111 km and 222 km using the correct number of significant digits.
a.
1300 km
c.
1333 km
b.
1330 km
d.
1333.0 km
 

 8. 

Express the sum of 7.68 m and 5.0 m using the correct number of significant digits.
a.
12.68 m
c.
13 m
b.
12.7 m
d.
10 m
 

 9. 

Express the product of 2.2 mm and 5.00 mm using the correct number of significant digits.
a.
10 mmsigfigs_files/i0100000.jpg
c.
11.0 mmsigfigs_files/i0100001.jpg
b.
11 mmsigfigs_files/i0100002.jpg
d.
11.00 mmsigfigs_files/i0100003.jpg
 

 10. 

What is the measurement 111.009 mm rounded off to four significant digits?
a.
111 mm
c.
111.01 mm
b.
111.0 mm
d.
110 mm
 

 11. 

What is the measurement 1042 L rounded off to two significant digits?
a.
1.0 sigfigs_files/i0120000.jpg 10sigfigs_files/i0120001.jpg L
c.
1050 L
b.
1040 L
d.
1.1 sigfigs_files/i0120002.jpg 10sigfigs_files/i0120003.jpg L
 

 12. 

Express the product of 4.0 sigfigs_files/i0130000.jpg 10sigfigs_files/i0130001.jpg m and 8.1 sigfigs_files/i0130002.jpg 10sigfigs_files/i0130003.jpg m using the correct number of significant digits.
a.
3 sigfigs_files/i0130004.jpg 10sigfigs_files/i0130005.jpg
c.
3.2 sigfigs_files/i0130006.jpg 10sigfigs_files/i0130007.jpg
b.
3.0 sigfigs_files/i0130008.jpg 10sigfigs_files/i0130009.jpg
d.
3.24 sigfigs_files/i0130010.jpg 10sigfigs_files/i0130011.jpg
 

 13. 

What is the volume of a salt crystal measuring 2.44 sigfigs_files/i0140000.jpg 10sigfigs_files/i0140001.jpg m by 1.4 sigfigs_files/i0140002.jpg 10sigfigs_files/i0140003.jpg m by 8.4 sigfigs_files/i0140004.jpg 10sigfigs_files/i0140005.jpg m?
a.
2.9 sigfigs_files/i0140006.jpg 10sigfigs_files/i0140007.jpg msigfigs_files/i0140008.jpg
c.
2.9 sigfigs_files/i0140009.jpg 10sigfigs_files/i0140010.jpg msigfigs_files/i0140011.jpg
b.
2.9 sigfigs_files/i0140012.jpg 10sigfigs_files/i0140013.jpg msigfigs_files/i0140014.jpg
d.
2.9 sigfigs_files/i0140015.jpg 10sigfigs_files/i0140016.jpg msigfigs_files/i0140017.jpg
 

Short Answer
 

 14. 

The following length measurements were taken by students using several different measuring devices. Find the average of the measurements. Make sure that your answer has the correct number of significant figures.
10.05 cm, 10.1 cm, 9.741 cm, 10.6 cm, 10.5 cm
 

 15. 

Round off the measurement 0.003 095 5 m to three significant figures.
 

 16. 

What is the sum of 2.7 g and 2.47 g expressed in the correct number of significant digits?
 

 17. 

What is the sum of 6.210 L and 3 L expressed in the correct number of significant digits?
 

 18. 

What is the product of the number 1000 and the measurement 0.003 57 m expressed in the correct number of significant digits?
 

 19. 

The mass of the electron is 9.109 39 sigfigs_files/i0210000.jpg 10sigfigs_files/i0210001.jpg kg. Express the mass of the electron to 1, 2, 3, and 4 significant figures.
 

 20. 

Perform the following operation: 3.43 cm sigfigs_files/i0220000.jpg 5.2 cm. Make sure that your answer has the correct number of significant figures.
 

Essay
 

 21. 

Describe the rules that are used to determine the number of significant figures in the results of addition, subtraction, multiplication, and division.
 



 
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