KEY - Scientific Notation

Worksheet: Scientific Notation - KEY

Convert to scientific notation:

1. 0.0067

6.7 x 10-3

2. 4500

4.5 x 103

3. 0.00000059 5.9 x 10-7

4. 67.89

6.789 x 101

5. 483000000 4.83 x 108

6. 456. 9

4.569 x 102

7. 0.00308

3.08 x 10-3

Convert to decimals:

1. 5.78 x 10-8

0.000 000 057 8

2. 7.8 x 104

78 000

3. 9.13 x 10-2

0.091 3

4. 3.5 x 104

35 000

5. 7 x 10-3

0.007

6. 9 x103

9 000

7. 1.1 x 10-2

0.011

8. 0.407

4.07 x 10-1

8. 1.5 x 106

1 500 000

9. 3140700000 3.1407 x 109

9. 4.67 x 10-2

0.046 7

10. 0.00715

7.15 x 10-3

10. 9 x 104

90 000

MULTIPLICATION AND DIVISION OF NUMBERS USING SCIENTIFIC NOTATION

1. (8.2 x 10-3) x (2.6 x 108) = 2 132 000 = 2.1 x 106

2. (2.9 x 1016) x (7.1 x 10-3) = 2.059 x 1014 = 2.1 x 1014

3. (6.18 x 1019) / (2.00 x 108) = 3.09 x 1011

4. (1.4 x 10-3) / (3.5 x 1011) = 400 000 000 = 4.0 x 10-15

5. (7.5 x 1010) x (2.6 x 103) x (1.2 x 1019) =2.34 x 1033 = 2.3 x 1033

Worksheet - Significant Figures - KEY

Determine how many significant figures are in each of the following measurements:

1.

0.0078030 m 5

2. 33.800 g

5

3. 2100.0 N

5

4. 38,500 miles

3

5. 5,000,001 mm7

6. 7.05 J

3

Round each of the following measurements off so that they each contain 3 significant figures (you may use scientific notation if you prefer):

7. 700.2 g 8. 999.9 Hz

= 700. g = 1.00 x 103 Hz

9. 12.68 cm

= 12.7 cm

10. 7,047,011 mg = 7,050,000 mg

Perform the prescribed operations. Round your answers to the proper number of significant figures. Include the appropriate units in your answer.

11. 92.43 m / 5.77 s = 16.01906412 m/s = 16.0 m/s (rounded to 3 sig. figs.)

12. 41.34 g + 52.482 g + 42.9 g = 136.722 g = 136.7 g (rounded to 1 decimal place)

13. 5.28 m x 12.99 m = 68.5872 m2 = 68.6 m2 (rounded to 3 sig. figs.)

14. (7.36 m / 1.23 s) / 3.4 s = 1.759923482 m/s2 = 1.8 m/s2 (rounded to 2 sig. figs.)

15. 5.28 V x 3 = 15.84 V = 20 V (rounded to 1 sig. fig.)

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