7.2 Scientific Notation: A number in Scientific Notation is written as the product of two factors in the form: a x 10 n a) 53 x 10 4 b) 0.35 x 100 Where n is an integer and 1 ≤ a < 10 Ex: is the number written in scientific notation? Explain. a) no, since 53 is not between 1 and 10 b) no, since 0.35 is not between 1 and 10 and 100 in not in exponent form.

GOAL:

We can write the scientific notation: a) = 7 x And we can also write the standard notation: b) 1,430,000 = 1.43 x 10 6 c) 1.43 x 10 6 = 1,430,000 d) 7 x =

We can also order scientific notation numbers: a) 2.84x b) 28 x 10 3 c) x 10 4 d) 258 x To order scientific notation we must put in scientific notation with a number greater than 1 but less than 10 a) 2.84x  b) 28 x 10 3  c) x 10 4  d) 258 x  a) 2.84 x b) 2.8 x 10 4 c) 2.5 x 10 2 d) 2.58 x 10 -3

We compare the scientific conversions but we arrange the original numbers. a) 2.84x  b) 28 x 10 3  c) x 10 4  d) 258 x  a) 2.84 x b) 2.8 x 10 4 c) 2.5 x 10 2 d) 2.58 x a) 2.84x 10 -4, d) 258 x 10 -5, c) x 10 4, b)28 x 10 3.

PROPERTIES: ZERO: as an exponent For every number a, Ex: 4 0 = 1 (-3) 0 = = 1 1,000,000 0 = 1 (-½) 0 = 1

PROPERTIES: Negative numbers: as an exponents For every nonzero number a≠0, and integer n Ex:

VIDEOS: Scientific Notation xponents-radicals/scientific-notation/v/scientific- notation xponents-radicals/scientific-notation/v/scientific- notation--old

CLASSWORK: Page Problems: As many as needed to understand the concept