Scientific Notation

Page 1

Is an abbreviation, to write numbers that are big and really small

lets take numbers and get rid of all the unnecessary 0, to make it easier to multiply or divide them.

25, 300, 000, 000, 000 miles

2.5 300 000 000 000 (13 times)

2.53

2.53 x 10 to the 13

1. figure where the decimal point would be

2. move decimal point till there is only one digit before the decimal point

3. count how many times you moved it

4. write the number left without the ceros

5. make the number multiply by 10 to the power of the times you moved the decimal (positive) (13)

0. 000 000 0203 seconds

0 000 000 02.03

2.03

2.03 x 10 to the -10

1. move the decimal point backwards until there is only one number before the decimal

2. count how many times you moved it (8 times)

3. multiply the number by 10 to the power of the times you moved the decimal (negative) (-10)

3, 749, 000, 000

3.749 x 10 to the 9

0. 00005269

5.269 x 10 to the -5

813, 000, 000, 000, 000

8.13 x 10 to the 14

0. 0000000214

2.14 x 10 to the -8

7.921 x 10 to the 8

792 100 000

8.2 x 10 to the -5

0.000082

4.13 x 10 to the 3

4 130

5.2216 x 10 to the -9

0. 000 000 005 221 6

Page 2

0.004 = 4 x 10 to the - 3

0.000000000000000123 = 1.23 x 10 to the -16

452000000000000 = 4.25 x 10 to the 14

698.2540000000000000000 = 6.9854 x 10 to the 2

3.28 x 10 to the 8 = 328000000

8.45 x 10 to the -3 = 0.00845

8.45 x 10 to the 5 = 845000

1.2 x 10 to the -8 = 0.000000012

Page 3

1.54 x 10 to the 8 = 154 000 000

- 5.13 x 10 to the 6 = - 5 130 000

- 9.42 x 10 to the -3 = - 0.00942

- 9.49 x 10 to the -2 = - 0.0949

6.98 x 10 to the 5 = 698000

7.63 x 10 to the -2 = 0.0763

9.11 x 10 to the 3 = 9110

- 4.66 x 10 to the 4 = - 46 600

9.01 x 10 to the 3 = 9010

- 9.9 x 10 to the -3 = - 0.0099

- 5.98 x 10 to the -1 = - 0.598