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8.5/8.6 SCIENTIFIC NOTATION AND MULTIPLICATION PROPERTY OF EXPONENTS ALGEBRA 1 CP

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SCIENTIFIC NOTATION A number is in scientific notation if it is written in the form a x 10 n where n is an integer and 1 < |a| < 10 Ex: 3.4 x 10 6, 5.43 x 10 13, 9 x 10 -10

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WRITE EACH NUMBER IN SCIENTIFIC NOTATION a)14, 070, 000b).004003 c) 345.8 x 10 2 d. 2 hundredths

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EXAMPLE Simplify 7 x (4 x 10 5 ). Give your answer in scientific notation.

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MULTIPLYING POWERS WITH THE SAME BASE For any nonzero number a and any integers m and n, a m a n = a m+n Ex: 3 4 3 5

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SIMPLIFY EACH EXPRESSION a) 10 3 10 -5 b) (a 2 b 5 )(a 3 ) c)(x -2 y 7 )(4x 3 y)d) (1.09) 2 (1.09) -2 e) f)

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CLASSWORK/HOMEWORK P. 388 #2-20 even P. 393-394 #2-10 even, 20-26 even

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