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# Scientific Notation with Positve Exponents

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### Scientific Notation with Positve Exponents

1. 1. Scientific Notation Easy way to writevery, very large numbers
2. 2. Why Use Scientific Notation? The Andromeda Galaxy (closest to the Milky way) contains at least 200,000,000,000 stars.
3. 3. Scientific Notation…..►a # written with two factors► one factor is less than 10 AND 1 or greater► the other factor is a power of 10 (a positive or negative power)Example: 2300 = 2.3 x 103Hint: When multiplying by powers of tenmove the decimal either right or left
4. 4. Why Use Scientific Notation? The Andromeda Galaxy (closest to the Milky way) contains at least 200,000,000,000 stars. 2 x 10 11
5. 5. Standard form to Scientific Notation 80,600 = 8.06 x 104A) 15,010 = 1.501x10 4B) 30,660,000,000 =3.066 x10 10
6. 6. How do you change the number back from scientific notation into standard form?You just do the opposite!The exponent tells you which direction to move your decimal to get it back where it was.Ex. 4.5 x 10 = 5 450,000
7. 7. Scientific Notation to Standard form:• 2.65 x 104 = • 8.7 x 10-4 = 26,500 0.00087 • 5.245 x 103 = d) 1.2 x 10-2 = 5,245 0.012 e) 4.34 x 10 -5 = f) 3.22 x 1015 = 0.0000434 3,220,000,000,000,000