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

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

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

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

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

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

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