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Pick up and Do worksheet 8.2 (1-24)
Bellwork Pick up and Do worksheet 8.2 (1-24)
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Exponent Rules 1.) am • an = 2.) (am)n = 3.) (a • b)m 4.) a-n =
3.) am • bm 4.) 1/an 5.) 1
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Exponent Rules 6.) am an 7.) a n b 6.) am-n 7.) an bn
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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.
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It is on the back of worksheet 8.2
Bellwork Do worksheet 8.3 (1-20 only) It is on the back of worksheet 8.2
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Bellwork Simplify 1.) 6x-1y2 7xy-3 2y3 x2 2.) 8x2y3 -2x-2y -4x-1y-3 -x
3.) -5x2y3 (2xy) x3y x-2y2
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Bellwork Simplify 1.) 6x-1y2 7xy y x2 42y x2y3 x2y4
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Bellwork Simplify 2.) 8x2y x-2y x-1y x -16y y-3 -4y7
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Bellwork Simplify 3.) -5x2y3 (2xy)-1 x2y3 -6x-2y2
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Quiz Take the Quiz over
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Today’s Objective To be able to express a very large number or very small number in scientific notation.
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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
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Scientific Notation How much longer will the sun burn?
6,000,000,000 years.
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Scientific Notation 600,000,000 metric tons 6,000,000,000 years
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
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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.
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Scientific Notation 4.4 x 1030 lbs.
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.
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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
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Change to Scientific Notation
1570 Place the decimal just after the first number Then count the # of places 1570 = 1.57 x 103
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Change to Scientific Notation
832,000,000 Place the decimal just after the first number. Then count the # of places =8.32 x 108
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Change to Scientific Notation
2450 = 2.45 x 103 765,000,000 = 7.65 x 108 = 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.
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Change to Scientific Notation
Place the decimal just after the first number. Then count the # of places. 000722 = 7.22 x 10-4
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Change to Standard Notation
Now let’s go backwards and change from Scientific Notation to Standard Notation.
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Change to Standard Notation
4.53 x 105 Move the decimal pt. 5 places to the right. 453000 = 453,000
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Scientific Notation (5 x 103)(4 x 105) 5 x 4 = 20 103 x 105 = 108
Now convert to Scientific Notation 2.0 x 109
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8.2 x 108 Try this one Count to the end 820,000,000 8.2
Place the point after the 1st # Count to the end 8.2 x 108
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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
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Try this one 2.5 x 107 (5 x 103)2 = (5 x 103) (5 x 103) 5 x 5 = 25
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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?
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Classwork Do worksheet 8.4 Homework page 422 (5-26)
Quiz over Friday
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List of Clicks Start, P:\ drive, Algebra, Multichc, Smiley Face, Open, Sec8-4
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