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Today s Objective

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Today s Objective

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

    2. 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

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

    4. 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

    5. 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.

    6. 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.

    7. 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

    8. Change to Scientific Notation 1570 Place the decimal just after the first number. 1.570 Then count the # of places 1570

    9. Change to Scientific Notation 832,000,000 Place the decimal just after the first number. Then count the # of places 832,000,000

    10. Change to Scientific Notation 2450 = 2.45 x 103 765,000,000 = 7.65 x 108 0.000722 = 7.22 x 10-4

    11. Change to Scientific Notation 0.000722 Place the decimal just after the first number. Then count the # of places. 000722

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

    13. Change to Standard Notation 4.53 x 105 Move the decimal pt. 5 places to the right. 453000

    14. Scientific Notation (5 x 103)(4 x 105) 5 x 4 = 20 103 x 105 = 108 20 x 108

    15. Try this one 820,000,000

    16. Try this one (6 x 102)(3 x 107) 6 x 3 = 18 102 x 107 = 109 18 x 109

    17. Try this one (5 x 103)2 = (5 x 103) (5 x 103) 5 x 5 = 25 103 x 103 = 106 25 x 106 =

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