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Bellwork

Learn exponent rules through worksheets, quizzes, and applying scientific notation. Understand large numbers, decimals, and powers of ten.

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Bellwork

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  1. Bellwork • Pick up and Do worksheet 8.2 (1-24)

  2. Exponent Rules • 1.) am+n • 2.) am•n = • 3.) am • bm • 4.) 1/an • 5.) 1 • 1.) am • an = • 2.) (am)n = • 3.) (a • b)m • 4.) a-n = • 5.) x0 =

  3. Exponent Rules • 6.) am-n • 7.) an bn • 6.) am an • 7.) a n b

  4. Worksheet 8.1 • On a sheet of paper, number from 1-18. • Take the Quiz on page 425 (1-18) • You can use your rules (1-7) sheet.

  5. Bellwork • Do worksheet 8.3 (1-20 only) • It is on the back of worksheet 8.2

  6. Bellwork Simplify • 1.) 6x-1y2 7xy-3 2y3 x2 • 2.) 8x2y3 -2x-2y -4x-1y-3 -x • 3.) -5x2y3 (2xy)-1 x3y2 -6x-2y2

  7. Bellwork Simplify • 1.) 6x-1y2 7xy-3 2y3 x2 • 42y-1 2x2y3 • 21 x2y4

  8. Bellwork Simplify • 2.) 8x2y3 -2x-2y -4x-1y-3 -x • -16y4 4y-3 • -4y7

  9. Bellwork Simplify • 3.) -5x2y3 (2xy)-1 x2y3 -6x-2y2 • -5 1 1 (2xy)(-6x-2y2) • -5 -12x-1y3 = -5x-12y3

  10. Quiz • Take the Quiz over 8.1 - 8.3

  11. Today’s Objective • To be able to express a very large number or very small number in scientific notation.

  12. Scientific Notation • What does the sun weigh? • 4,400,000,000,000,000,000,000,000,000,000 lbs. • How much hydrogen does the sun burn each second? • 600,000,000 metric tons

  13. Scientific Notation • How much longer will the sun burn? • 6,000,000,000 years.

  14. Scientific Notation • Let’s look at these large Numbers • 4,400,000,000,000,000,000,000,000,000,000 lbs. • 600,000,000 metric tons • 6,000,000,000 years • Each of these numbers can be written in a different form called Scientific Notation

  15. Scientific Notation • Scientific Notation is made up of 2 parts. • 1st Part = a number between 1 and 10 • 2nd Part = x 10 to some power • If it doesn’t have both parts, it is NOT Scientific Notation.

  16. Scientific Notation • Let’s change these large Numbers to Scientific Notation….. • 4,400,000,000,000,000,000,000,000,000,000 lbs. • 4.4 x 1030 lbs. • Place the decimal pt. after the first # and then count to the end.

  17. Scientific Notation • 600,000,000 metric tons • 6.0 x 10? • 6.0 x 108 metric tons • 6,000,000,000 years • 6.0 x 109 years

  18. Change to Scientific Notation • 1570 • Place the decimal just after the first number. 1.570 • Then count the # of places 1570 = 1.57 x 103

  19. Change to Scientific Notation • 832,000,000 • Place the decimal just after the first number. • Then count the # of places • 832,000,000 =8.32 x 108

  20. Change to Scientific Notation • 2450 = 2.45 x 103 • 765,000,000 = 7.65 x 108 • 0.000722 = 7.22 x 10-4 Notice that if the decimal moves right the exponent is negative and if it moves left, the decimal is positive.

  21. Change to Scientific Notation • 0.000722 • Place the decimal just after the first number. • Then count the # of places. • 000722 = 7.22 x 10-4

  22. Change to Standard Notation • Now let’s go backwards and change from Scientific Notation to Standard Notation.

  23. Change to Standard Notation • 4.53 x 105 • Move the decimal pt. 5 places to the right. • 453000 = 453,000

  24. Scientific Notation • (5 x 103)(4 x 105) • 5 x 4 = 20 • 103 x 105 = 108 • 20 x 108 Now convert to Scientific Notation 2.0 x 109

  25. Try this one • 820,000,000 8.2 Place the point after the 1st # Count to the end 8.2 x 108

  26. Try this one • (6 x 102)(3 x 107) • 6 x 3 = 18 • 102 x 107 = 109 • 18 x 109 Now convert to Scientific Notation 1.8 x 1010

  27. Try this one • (5 x 103)2 = • (5 x 103) (5 x 103) • 5 x 5 = 25 • 103 x 103 = 106 • 25 x 106 = 2.5 x 107

  28. Closure • 1.) What are the 2 parts that make up Scientific Notation? • 2.) How do you determine if the exponent is positive or negative? • 3.) When do you use Scientific Notation?

  29. Classwork • Do worksheet 8.4 • Homework page 422 (5-26) • Quiz over 8.1-8.3 Friday

  30. List of Clicks • Start, P:\ drive, Algebra, Multichc, Smiley Face, Open, Sec8-4

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