Significant Figure and Scientific Notation                             Name ____________________________________

Practice                                                                                   Period ________ Date _______________________

Write the number of significant figures in the following measurements.

1._____ 2.708

2._____ 16.3050

3._____ 50.007

4._____ 3000010

5._____ 0.00045

6._____ 0.00458

7._____ 589000

8._____ 6.38 x 109

9._____ 50800

10._____ 4.678 x 1022

11. _____ 789.006     

12._____ 3.67 x 10-4

13._____ 507.7800

14._____ 0.000000875

15._____ 0.00480

16._____ 3322.008

17._____ 540300

18._____ 4506.003

19._____ 287.345

20._____ 56.000

 

1. Round off the following numbers to three significant figures.

   (a) 4325

   (b) 6.873 x 103

   (c) 0.17354

   (d) 7.8939

   (e) 9.237 x 10-3

   (f) 0.0299817

2. How many significant figures does each of the numbers contain?

   (a) 0.0278 meter

   (b) 1.3 centimeters

   (c) 1.00 foot

   (d) 8.021 yards

   (e) 7.98 x 10-3 pound

   (f) 0.2003 ton

   (g) 4.69 x 104 tons

   (h) 1 x 10l2 atoms

   (i) 1.73 x 1024 atoms

3. Express the following numbers in standard exponential form with the indicated number of significant figures.

    (a) 1000 (2 sig. fig.)

    (b) 43,927 (3 sig. fig.)

    (c) 0.000286 (3 sig. fig.)

    (d) 0.000098765 (5 sig. fig.)

    (e) 10,000 (you decide how many significant figures)

4. Express the following exponentials as ordinary numbers.

   (a) 7.23 x 104

   (b) 8.193 x 102

   (c) 1.98 x 10-3

   (d) 7.51 x 10-7

   (e) 5.43 x 100

 

4. Explain why the following statements are true.

            A. The measurement 90.7 g has three significant figures.

 

 

            B. The measurement 0.0742 L has three significant figures.

 

 

            C. The measurement 18200 m has three significant figures.

 

 

            D. The measurement 18.200 seconds has five significant figures.

 

 

5. Round 80.45 to

a)      3 significant figures                      b) 2 significant figures                        c) 1. significant figure

 

6. Round the following numbers to three significant figures

_____________ A.  50.63

_____________ B.   1823

_____________ C.   1.823 x 103

_____________ D.  08129

_____________ E.       .004536

_____________ F.        4.5636 x 10-3

_____________ G.      12.98

_____________ H.      13.02

_____________ I. 129.8

_____________ J.     1.2046

_____________ K.  120.46

_____________ L.   12.04

7. Use your calculator to answer the following. Write your answer in scientific notation.

 

A.

E.

G.

B.

 

 

 

 

C.

 

F.

H.

D.

 

 

 

 

9. Which of these rulers could have been used to measure the following distances?

_____ A.      2.7 cm

_____ B.       3 cm

_____ C.       2.72

_____ D.      10.1

_____ E.       11.2

_____ F.        6.72

_____ G.      10.74

 

 

I.

 

II.

 

 

III.