Scientific Notation

Seite 1

--There is a mathematical scientific notation that is very useful for writing very big and very small numbers.

Why are they important?

- the tels us how to round

- make sure the answer you get isn´t more precise than the number you started with.

for example:

25,300,000,000,000 miles

0.000,000,0203 seconds

STEPS:

-where would the decimal place be?

- I move it and I count the number of spots until there is only one digit in the left of the decimal point.

- write the number with the new decimal point placed

- you get rid of all the zeros

-you put the number of how many spaces you moved the decimal point as an exponent to ten multiplied by the number you have after removing all the zeros

If you move it to the left is a positive exponent, if you move it to the write it will be a negative exponent

Seite 2

Exercice

1 ) 1.54 x 10 (8) = 154000000

2 ) -5.13 x 10 (6) = -5130000

3 ) -0.00942 = 9.42 x 10 (-3)

4 ) 698000 = 6.98 x 10 (5)

5 ) -0.0763 = 7.3 x 10 (2)

6 ) 9110 = 9.11 x 10 (3)

7) .4.66 x 10 (4) = -4.6600

8 ) 9.01 x 10 (3) = 9010

9 ) -9.9 x 10 (-3) = 0.0099

10 ) -0.598 = -5.98 x 10 (-1)

11 ) 3.31 x 10 (-1) = 0.331

12 ) -8.31= -8.31 x 10 (0)

13 ) -0.00818 = -8.18 x 10 (3)

14 ) 1.73 x 10 (3) = 1730

15 ) -137000 = -1.37 x 10 (5)