Scientific Notation

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Transcript Scientific Notation

Scientific Notation

Practice Problems #3

Convert the following #s in ordinary notation to standard scientific notation.

 1) 4,030,000 4.03 x 10 6  2) .0000988 9.88 x 10 -5  3) .000000023 2.3 x 10 -8

Convert the following #s in ordinary notation to standard scientific notation.

 4) 602,000,000,000,000,000,000 6.02 x 10 20  5) 61,500,000 6.15 x 10 7  6) 0.000000568 5.68 x 10 -7

Convert the following #s in ordinary notation to standard scientific notation.

 7) 321,000 3.21 x 10 5  8) 64,960,000,000 6.496 x 10 10  9) 0.0007085 7.085 x 10 -4

Convert from scientific notation to ordinary notation.

10) 1.915 x 10 7  19,150,000 11) 6.73 x 10 -9  0.00000000673

12) 2.9 x 10 -8  0.000000029

Convert from scientific notation to ordinary notation.

13) 3.25 x 10 6  3,250,000 14) 1.9 x 10 7  19,000,000 15) 4.2715 x 10 9  4,271,500,000

Convert from scientific notation to ordinary notation.

16) 3.08 x 10 -3  0.00308

17) 9.04 x 10 -9  0.00000000904

18) 5.874 x 10 2  587.4

Compare the following numbers in using >, <, or =.

11. (4.5 x 10

6

)

<

(3.7 x 10

9

) 12. (3.1 x 10

-2

)

>

(8.3 x 10

-6

)

Perform any operations using scientific notation form. All answers should be in scientific notation.

13. (7 x 10 7 ) ÷ (3.5 x 10 3 ) = 2 X 10 4 14. (6.2 x 10 5 ) x (2.4 x 10 3 ) = 1.5 X 10 9 15. (2.3 x 10 8 ) x (2.1 x 10 -5 ) = 4.8 X 10 3

Perform any operations using scientific notation form. All answers should be in scientific notation.

16. (3.2 x 10 4 ) ÷ (8.0 x 10 2 ) = 4.0 X 10 1 17. (4.2 x 10 6 ) ÷ (7.0 x 10 -3 ) = 6.0 X 10 8 18. (7 x 10 -5 ) x (9.2 x 10 3 ) = 6 X 10 -1

Perform any operations using scientific notation form. All answers should be in scientific notation.

19. (9.0 x 10 21 ) ÷ (3.0 x 10 17 ) = 3.0 X 10 4 20. (4.0 x 10 -4 ) x (2.5 x 10 2 ) = 1.0 X 10 -1 21. (8.8 x 10 5 ) ÷ (2.2 x 10 -2 ) = 4.0 X 10 7

Perform any operations using scientific notation form. All answers should be in scientific notation.

22. (5.6 x 10 -2 ) x (2.0 x 10 -4 ) = 1.1 X 10 -5 23. (3.0 x 10 5 ) x (8.1 x 10 1 ) = 2.4 X 10 7