Scientific Notations

Page 1

EXCERCISE:

1. 0.004= 4x10(-3)

2. 0.000000000000000123=1.23x10(-16)

3. 452000000000000= 4.52x10(14)

4. 698.25400000000000000=6.98254 x 10(2)

5. 3.28 x 10 (8)= 328,000,000.00

6. 8.45 x 10 (-3)=0.00845

7. 8.45 x 10 (5)= 845,000

8. 1.2 x 10 (-8)= 0.000000012

9. 1.54 x 10(8)= 154,000,000

10. 5.13 x 10(6)= 5,130,000

11. -0.00942= -9.42 x 10(-3)

12. -0.0949= 9.49 x 10 (-2)

13. 698000= 6.98 x 10 (5)

14. -0.0763= -7.63 x 10 (-2)

15. 9110= 9.11 x 10 (3)

16. -4.66 x 10(4)= -46,600

17. 9.01 x 10(3)= 9010

18. -9.9 x 10(-3)= -0.0099

19. -0.598= 5.98 x 10 (-1)

20. 3.31 x 10 (-1)= 0.331

21. -8.31= -8.31 x 10(0)

22. -0.00818= -8.18 x 10(-3)

23. 1.73 x 10(3)= 1,730

24. -137000= -1.37 x 10(5)

Page 2

To write 1 trillion (1 followed by 12 zeros) or 1 googol (1 followed by 100 zeros) Takes a lot of space and time. There is a mathematical scientific Notation which is very useful for writing very big and very small numbers.

EXAMPLES:

25,300,000,000,000 miles= 2.53x10(13)

0.0000000203 seconds= 2.03 x 10(-8)

30,600,000,000,000,000,000,000,000 atoms= 3.06 x 10(25)

0.0000000000000000000000000203= 2.03 x 10 (-26)

If you move it to the left it is positive exponent. If you move it to the right it is a negative exponent

Exponent goes up <--- move left . move right ---> exponent goes Down.