Scientific Notation The simplification of very small or large numbers

1
Scientific NotationThe simplification of very
small or large numbers

• ax10n
• By Dana and Alexis

2
Step One

• Get number
• 44,509,000,000.0

3
Step Two

• Plug the number in to the formula
• ax10n
• 44,509,000,000x10n

4
Step Three

• Move decimal so it is one place after the first
  number.
• 44,509,000,000.0

5
Step Four

• Count the number of places the decimal was moved.
• 4.509000000

1
2
3
4
5
6
7
8
9
6
Step Five

• Take the number of places moved and put it as the
  exponent.
• 4.509000000x10n
• 4.509000000x109

7
Step Six

• Remove all zeros before the last nonzero number.
• 4.509000000

8
Completed Problem

• 4.509x109
• ?

9
Practice Problem

• 829,900,000,000

10
Solving Practice Problem

• Plug in the number
• 829,900,000,000x10n
• Move the Decimal
• 8.29900000000x10n
• Plug in the exponent
• 8.29900000000x1011
• Remove zeros
• 8.299x1011

11
Practice Problem 2

• .0000008927

12
Solving Practice Problem 2

• Plug in the number
• .0000008927x10n
• Move the decimal
• 0000008.927x10n
• Plug in the exponent (since we moved the decimal
  backwards the exponent becomes negative)
• 0000008.927x10-7
• Remove zeros
• 8.927x10-7