# Scientific Notation IAN pg

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```					      Scientific Notation
IAN pg. 25
Scientists have developed a
shorter method to express very large
numbers called Scientific Notation.
Scientific notation is based on
powers of the base number 10.
EXAMPLE:
The number 123,000,000,000 in
scientific notation is written as:
11
1.23 x 10
Scientific Notation
***The numbers below have the same
exact value. They mean the same thing!
They are just written differently.

423,000,000,000.                =   4.23 x 1011

*Notice there is one
digit in front of
11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1          the decimal!

Whole                                 Scientific
Number                                 Notation
Writing a number in Scientific
Notation.
1.   Move the decimal leaving one digit in
front.
2.   Count how many places you moved the
decimal point.
3.   The number of places you move the
decimal will be equal to the power you
raise your base 10 to!
In the number 423,000,000,000.

4.23,000,000,000      =   4.23 X 10   11
Positive & Negative Numbers
.000000048 Is this number greater than
or less than 1?
LESS THAN 1, therefore in
S.N. it is NEGATIVE!
4.8 X 10 -8
480,000,000 Is this number greater than
or less than 1?
GREATER THAN 1, therefore
S.N. it is POSITIVE!
4.8 X 10 8
More Examples
506,000       * Move the decimal so one
digit is in front and
5.06,000         count the number of
places you move it.

5.06 X 10 5   * Drop the zeros following
the last whole number. Is
the number you started with
> or < 1? Positive or
Negative? Rewrite in
Scientific Notation!
“A”   In Class Exercise “B”
Taco Top ½ Page 24 in your IAN
1. .000407 __________    2. .000065 _________
3. 750,000 __________    4. 43,000 __________
5. .823 __________       6. .0324 ___________
7. 500,000,000 _______   8. 740,000 _________
9. .000000001 _______    10. .0000022 _______
11. 39,000 __________    12. 902,000 ________
13. .00214 __________    14. .0143 _________
15. 4,500 ___________    16. 240 ___________
17. .000881 _________    18. .0094 __________
19. 672,000 _________    20. 502,000 ________
“A”   In Class Exercise “B”
Bottom ½ page 24 in your IAN
1. 4.5x103 __________    2. 6.3x102 _________
3. 6.2x10-5__________    4. 4.02x10-3_________
5. 1.02x102__________    6. 3.35x10-2_________
7. 5.023x10-3 _______    8. 7.6x106 _________
9. 7.1x106 __________    10. 5.69x10-5 _______
11. 2.01x107_________    12. 6.3x10-1________
13. 3.3x10-5__________   14. 8.03x105_________
15. 9.0x10-2__________   16. 1.14x10-2_______
17. 8.6x104 _________    18. 9.3x106__________
19. 6.72x10-1_________   20. 2.0x107________

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