7.2 Scientific Notation:A number in Scientific Notation is written as the product of two factors in the form:

a x 10n

a) 53 x 104 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 10b) 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) 0.00007 = 7 x 10-5

And we can also write the standard notation:

b) 1,430,000 = 1.43 x 106

c) 1.43 x 106 = 1,430,000

d) 7 x 10-5 = 0.00007

We can also order scientific notation numbers:

a) 2.84x 10-4 b) 28 x 103 c) 0.025 x 104 d) 258 x 10-5 To order scientific notation we must put in scientific notation with a number greater than 1 but less than 10

a) 2.84x 10-4 b) 28 x 103 c) 0.025 x 104 d) 258 x 10-5

a) 2.84 x 10-4 b) 2.8 x 104 c) 2.5 x 102 d) 2.58 x 10-3

We compare the scientific conversions but we arrange the original numbers.

a) 2.84x 10-4 b) 28 x 103 c) 0.025 x 104 d) 258 x 10-5

a) 2.84 x 10-4 b) 2.8 x 104 c) 2.5 x 102 d) 2.58 x 10-3

a) 2.84x 10-4, d) 258 x 10-5 ,c) 0.025 x 104, b)28 x 103 .

PROPERTIES: ZERO: as an exponentFor every number a,

= 1Ex: 40 = 1 (-3)0 = 1 1000 = 1

1,000,0000 = 1 (-½) 0 = 1

PROPERTIES: Negative numbers: as an exponents

For every nonzero number a≠0, and integer n

= 1) 4-1 = 2) (-3)-2 = Ex:

VIDEOS: Scientific Notation

https://www.khanacademy.org/math/arithmetic/exponents-radicals/scientific-notation/v/scientific-notation

https://www.khanacademy.org/math/arithmetic/exponents-radicals/scientific-notation/v/scientific-notation--old

CLASSWORK:

Page 424-430

Problems: As many as needed to understand the concept