WARM-UP

234

1107

9

3

cba

cba

POLYNOMIALS – DAY 4 SCIENTIFIC NOTATIONObjective: To use scientific notation to solve problems.

SCIENTIFIC NOTATION

Used when working with numbers that are so large or so small that they are difficult to read.

Restrictions1 < a < 10

n has to be an integer (no fraction or decimal)

na 10

COMPLETE THE TABLE

Number Movement of the Decimal Place

Scientific Notation

133,000,000,000

0.000165

4,706,000,000

0.00000000000036

EXAMPLE 1: WRITE EACH NUMBER IN SCIENTIFIC NOTATION

a.) 64,830,000,000,000

b.) 0.00000000089

EXAMPLE 2: WRITE EACH NUMBER IN DECIMAL FORM

a.) 6.47 x 109

b.) 7.83 x 10-7

MULTIPLYING IN SCIENTIFIC NOTATION

Example 3:

(2.5 x 103)(6.0 x 102)

DIVIDING IN SCIENTIFIC NOTATION

Example 4:

4

12

100.3

103.9

The slightly oval path of the earth around the sun causes it to be as much as 2.5 x 106 km further from the sun than its average distance away, 1.5 x 108 km. Find the ratio of the first number to the second number.

EXPANDED NOTATION

Writing numbers based on powers of 10.

8572 = 8000 + 500 + 70 + 2

=8 x 103 + 5 x 102 + 7 x 101 + 2 x 100

WRITE IN EXPANDED NOTATION

48,307

a.) 4 x 104 + 8 x 103 + 3 x 102 + 7 x 100

b.) 4 x 105 + 8 x 104 + 3 x 103 + 0 x 102 + 7 x 101

c.) 48 x 103 + 3 x 102 + 7 x 100

EXAMPLE 5: WRITE IN EXPANDED NOTATION

64.91

HOMEWORK – DAY 4

Pg. 339 #2, 4, 6, 16 – 22 even, 28, 30

HOMEWORK REVIEW

Evaluate. Write your answer in scientific notation.

38 103.7107.2