1. CFU 3102.2.5 Perform operations with numbers in scientific notation (multiply, divide, powers). SPI 3102.2.2 Multiply, divide, and square numbers expressed in scientific notation.

2. ... a way to express very small or very large numbers that is often used in "scientific" calculations where the analysis must be very precise.

3. Scientific Notation is a way of writing a number as a multiplication problem where…. the first number is greater than one but less than ten and the second number is a power of 10.

4. POWERS OF 10 Notice that the negative powers are decimals.

5. 4,750,000 Use 4.75 (moved 6 decimal places) answer: 4.75 X 10 6 Example: The original number was greater than 1 so the exponent is positive.

6. 0.000789 Use 7.89 (moved 4 decimal places) answer: 7.89 x 10 -4 The original number was less than 1 so the exponent is negative. Example:

7. Try these: 61,500 = 84,960,000 = 321 = 0.000527 = 0.0000004 =

8. Use Exponent Rules (5.3 x 10 2 )(4.1 x 1o 5 ) Product of Powers (2 x 10 3 ) 4 Power of Powers Quotient of Powers