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Scientific Notation

N SPI 0806.2.3 Use scientific notation to

compute products and quotients.

Standard Form

- Look at this example and put it into standard

form. - 2.45 x 108
- 2.45
- Move the decimal 8 places to the right!
- YOUR ANSWER SHOULD LOOK LIKE THIS
- 245,000,000

Standard Form to Scientific Notation

- 30,500,000
- Put this example into scientific notation!
- But wait where is the decimal??
- Correct! At the end of the number!!
- Lets move it to the left!
- 30,500,000.

YOUR ANSWER

- 3.0500000 X 10n
- What does the n stand for?
- The n is the variable that represents the

exponent! - How many times did we move the decimal?
- 7
- The answer is 3.05 X 107

Multiplication with Scientific Notation

- Lets do this problem and at the end put your

answer in scientific and standard notation! - (5 x 10-8)(2.9 x 102)
- (5 x 2.9)(10-8 X 102) Commutative and

Associative Properties - 14.5 x 10-6 Product of

Powers - (1.45 x 101) x 10-6 14.5 1.45 x 101
- 1.45 x (101 x 10-6) Associative Property
- 1.45 x 10-5 or 0.0000145 ANSWER

Division with Scientific Notation

- 1.2789 x 109
- 5.22 x 105
- Split up the division problem into two separate

division problems! - 1.2789 x 109
- 5.22 105

- 1.2789 x 109
- 5.22 105
- 0.245 x 104 Divide
- (2.45 x 10-1) x 104 Move the decimal to the

appropriate position. - 2.45 x (10-1 x 104) Group and calculate!
- 2.45 x 103 or 2450 ANSWER

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