Lesson 8 3 Scientific Notation Definition Scientific Notation

Lesson 8 -3 Scientific Notation

Definition • Scientific Notation - A number is expressed in scientific notation when it is written as a product of a factor and a power of 10. The factor must be greater than 1 and less than 10.

• Scientific to Standard Notation • 2. 45 x 108 Move the decimal point to the right • 3 x 10 -5 Move the decimal point to the left.

Express each number in standard form.

• Standard to Scientific Notation • 30, 500, 000 Move the decimal point to the left • 0. 000781 Move the decimal point to the right.

Express each number in scientific notation.

The graph shows chocolate and candy sales during a recent holiday season. Candy Type Candy Canes Chocolate All Candy Total Sales $120 million $145 billion $300 million • Express the sales of candy canes, chocolates, and all candy in standard notation. • Write each of these numbers in scientific notation.

The Sporting Goods Manufacturers Association reported that in 2000, women spent $4. 4 billion on 124 million pairs of shoes. Men spent $8. 3 billion on 169 million pairs of shoes. • Express the numbers of pairs of shoes sold to women, pairs sold to men, and total spent by both men and women in standard notation. • Write each of these numbers in scientific notation.

• Multiplication with Scientific Notation Evaluate (5 x 10 -8)(2. 9 x 102). Express the result in scientific notation and standard form. (5 x 10 -8)(2. 9 x 102). = (5 x 2. 9)(10 -8 x 102). = 14. 5 x 10 -6 = (1. 45 x 101) x 10 -6 = 1. 45 x (101 x 10 -6) = 1. 45 x 10 -5 or 0. 0000145

• Multiplication with Scientific Notation Evaluate (7 x 10 -6)(4. 3 x 1012) Express the result in scientific notation and standard form.

• Division with Scientific Notation Evaluate Express the result in scientific notation and standard form. = 0. 245 x 104 = (2. 45 x 10 -1) x 104 = 2. 45 x (10 -1 x 104) = 2. 45 x 103 or 2450

• Division with Scientific Notation