Scientific Notation and significant digits Name: Physical ...

Scientific Notation and significant digits

Physical Science

Period:

Name: Date:

Convert the following numbers into scientific notation, do NOT use the `E' as shown on your calculator, write what it actually means. Express to the correct number of significant digits as shown in the original value.

1) 792,600,000 7.926x108 2) 1,050,000,000,000 1.05x1012 3) 4,050,000 4.05x106 4) 0.000000233 2.33x10-7

5) 0.0000900 9.00x10-5 6) 0.00000045 4.5x10-7 7) 100.0 1.00x102 8) 23.5 23.5x101

Convert the following to standard numerals.

9) 9.5 10 4 0.00095

10) 8.98 10 7 89,800,000

11) 4 10 5

400,000

12) 7.032 10 3 0.007032

13) 8 10 6 14) 1.07 10 4 15) 2.574 x 101 16) 5.78 x 10-1

0.000008 10,700 25.74 0.578

List the number of significant figures in the following:

17) 43.201

5

21) 1.00 x 10-06

3

18) 0.00210

3

22) 0.00005

1

19) 1.0030

5

23) 40

1

3 20) 3.45 x 103

24) 120,000,000

2

Express the following numbers to exactly three (3) significant figures (you might have to use

scientific notation)

25) 28 28.0 or 2.80x101 29) 7,500,000 7.50x106

26) 5.789012 5.79

30) 1,997

2.00x103

27) 0.0004 0.000400 or 4.00x10-4 31) 2

2.00

28) 2,000

2.00x103

32) 0.0053 5.30x10-3 or 0.00530

Enter the following into your calculator and express the answer to the following problems to the

correct number of significant digits

Calculator Answer:

Answer with correct sig. fig.

33)

189.15 or 1.8915x102 190 or 1.9x102

34) (

) 203.04 or 2.0304x102

2.0x102

35)

3,029.46 or 3.02946x103 3,000 or 3x103

36)

17.14478261 or 1.714478261x101

17 or 1.7x101

37)

2.519455253

2.52

38)

0.94333333 or 9.4333333x10-1 0.94 or 9.4x10-1

Perform the following operations, expressing on your calculator using the scientific notaion

function of your calculator, write out the answer from the calculator as well the answer in

scientific notation expressed to the correct number of significant figures

Calculator Answer:

Ans in Sci. Not with sig figs:

39) 7.8109?2.11012= 1.638x1022

1.638x1022

40) 2105 ? 6.81014= 1.36x1010

1x1010

41) 6.071022 ? 3.0108=

1.821x1031

1.8x1031

42) 4.44104 ? 6.5108=

2.886x10-11

2.9x10-11

43) 51011 ? 3.5107=0.00175 or 1.75x10-3

2x10-3

44) 8.8106 ? 4.0103= 2,200 or 2.2x103

2.2x103

45) 2.21018 1.406104=1.56472262x10-22

1.6x10-22

46) 2.87105 8.21010=35,000 or 3.5x104

3.5x104

47) 3.90091017 7.20010-2=5.417916667x1018

5.418x1018

48) 1.98109 5.51010= 0.036 or 3.6x10-2

3.6x10-2

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