Scientific notation pbit 1
- 1. Change to standard notation. 1. 1.5 x 104 2. 3.2 x 102 You need a calculator today!
- 2. Change to standard notation. 1. 1.5 x 104 2. 3.2 x 102 ANSWER 15,000 ANSWER 320 You need a calculator today!
- 3. TODAY’S OBJECTIVE The students will learn to investigate multiplying and dividing numbers in scientific notation, trying to determine the correct rules for the powers of 10.
- 4. CALCULATORS AND SCIENTIFIC NOTATION To go from scientific notation to standard notation Example: 3.14 x 10 3 3.14 EE 3 = 3140 To go from standard notation to scientific notation Example 25,600,000 25,600,000 2 nd Sci (5) = 2.56 x 107
- 5. CALCULATORS AND SCIENTIFIC NOTATION How do I enter a negative Example: 3.14 x 10 -3 3.14 EE -3 = 0.00314
- 6. MULTIPLYING DECIMALS How do we multiply 1.2 x 3.1?
- 7. SCIENTIFIC NOTATION: MULTIPLICATION AND DIVISION RULES WORKSHEET 101 Work out problems 1, 4, 6, 10. Do them on your calculator and record the answers. Write a rule for multiplying numbers in scientific notation. Work out problems 16, 19, 20, 25, 27. Do them on your calculator and record the answers. Write a rule for dividing numbers in scientific notation. Work on side 100 doing the problem numbers that are multiples of 5 while you wait for others to finish.
- 8. SCIENTIFIC NOTATION: MULTIPLICATION AND DIVISION RULES WORKSHEET 101 1. 3.5 x 107 4. 1.19 x 10 5 6. 3.45 x 10 -5 10. 1.2 x 10 8 16. 2 x 10 2 19. 1.06 x 107 20. 5 x 101 25. 2 x 101 27. 6 x 10 -1
- 9. SCIENTIFIC NOTATION: MULTIPLICATION AND DIVISION RULES Rules for multiplication: Multiply the decimals then add the exponents. Make sure your answer is in scientific notation. Rules for division: Divide the numbers then subtract the exponents. Make sure your answer is in scientific notation. WATCH YOUR SIGNS!! (subtracting is the same as adding the opposite)
- 10. GUIDED PRACTICE for Example 4 Write the product in scientific notation 17. (1.25 x 106) x (7.6 x 1012). = 9.5 x 1018
- 11. GUIDED PRACTICE for Example 4 Write the product in scientific notation 18. (8 x 106) x (5.65 x 104). = 45.20 x 1010 Write 45.2 in scientific notation. = 4.52 x 1011
- 12. GUIDED PRACTICE for Example 4 Write the product in scientific notation 4.08 x 106 = 1.2 x 104 3.4 x 102
- 13. GUIDED PRACTICE for Example 4 Write the product in scientific notation 2.765 x 1021 = 3.5 x 1011 7.9 x 109
- 14. HOMEWORK Scientific Notation worksheet Evens on page 101 and the multiples of 5 on page 100