1. Section 1.7 Scientific Notation  Powers of 10 Review  Converting Numbers to Scientific Notation  Converting Numbers from Scientific Notation  Simplifying Computations 11.7

2. Powers of 10 - Review  Change to standard notation: 10 2 = 100 10 3 = 1000 10 6 = 1,000,000 10 n = 100,000 What is n? n = 5 10 -1 = 0.1 10 -2 = 0.01 10 -7 = 0.0000001 10 m = 0.00001 What is m? m = -5 10 3 10 6 = 10 3+6 = 10 9 10 3 ÷ 10 7 = 10 3-7 = 10 -4 10 4 10 -4 = 10 4+(-4) = 10 0 = 1 important! 21.7

3. Scientific Notation For correct Scientific Notation, a single non-0 digit must precede the decimal point. 31.7

4. Examples – Move the Decimal Point 4 positions – small number  5.17 × 10 -4 8 positions – big number  5.23 × 10 8 41.7

5. Examples – Converting & Computing 689300000000 Add 8 zeros (total 11 places) 689,300,000,000 Put in commas from right = 1.12 5 10 -8 10 -7 = 5.6 x 10 -15 51.7

6. Adjusting to Correct Scientific Notation  Correct format is M × 10 n where 1 ≤ M < 10  Good Examples: 3.2 × 10 2 9.999 × 10 -4 10 6  Wanna Be’s:  432 × 10 3 Incorrect Format  4.32×10 2 ×10 3 Convert 432 to Sci Not  4.32 × 10 5 Add the exponents  0.00234 × 10 -7 Incorrect Format  2.34×10 -3 ×10 -7 Convert 0.00234 to Sci Not  2.34 × 10 -10 Add the exponents 61.7

7. Rounding Products & Quotients 71.7

8. Simplifying Multiplication and Division Using Scientific Notation 4.0 × 10 -3 2.1 × 10 2 2 × 10 16 1.4 × 10 7 81.7

9. What Next?  2.1 – Graphs 2.1 91.7