Scientific Notation II

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SCIENTIFIC NOTATION II

It’s a way to deal with very large or very small numbers.

EXAMPLES

> 25,300,000,000,000. miles

Move decimal point 13 times left

2.53 x 10^13

If you move the decimal point to the left then is positive the exponent of the 10.

> 0.000 000 0203 seconds

Move decimal point 8 times right.

2.03 x 10^-8

If you move the decimal point to the right then is negative the exponent of the 10.

EXERCISE I

> 3,749,000,000

3.749 x 10^9

> 0.00005269

5.269 x 10^-5

> 813,000,000,000,000

8.13 x 10^14

> 0.000 000 0214

2.14 x 10^-8

EXERCISE II

> 0.004

4 x 10^-3

> 0.000000000000000123

1.23 x 10^-16

> 452000000000000

4.52 x 10^14

> 698.25400000000000000

6.98254 x 10^2

> 3.28 x 10 to the 8

328000000

EXERCISE III

> - 577000 = -5.7 x 10^6

> 0.866 = 8.66 x 10^-1

> -5.41 x 10^0 = - 5.41

> - 47.9 = - 4.79 x 10^1

> 5.17 x 10^8 = 517000000

> - 667000000 = - 6.67 x 10^8

> 6.91 x 10^-1 = 0.691

> 1.91 x 10^3 = 1910

> 978 = 9.78 x 10^2

> 4.18 x 10^0 = 4.18

> 94.2 = 9.42 x 10^1

> 175000000 = 1.75 x 10^8

> 93000 = 9.3 x 10^4

> -98700 = -9.87 x 10^4

> 6220 = 6.22 x 10^3

> -4.12 x 10-4 = -0.000412

> 3.92 x 10^8 = 392000000