Lesson 1-9: Scientific Notation Objectives Students will be able to write numbers as scientific notation as well as perform operations with scientific notation.

Warm-up

Scientific Notation a 10 n, where 1 < a < 10 and n is an integer Allows us to write the mass of the earth: 5,974,000,000,000,000,000,000,000 kg as Remember: Large numbers: 10 positive Small numbers: 10 negative Exponent tells you how far to move the decimal!

Express each number in standard notation. a. b. Answer: Answer: 7610 In-Class Example #1

Operations with Scientific Notation Keep the parts separate and adjust when finished: 1)Multiply/Divide “a” numbers 2)Use properties of exponents to evaluate powers of 10 3)Adjust final scientific notation: 1)If you have to make the “a” number smaller, the you make the exponent bigger by the same number of decimal places 2)If you have to make the “a” number bigger, you make the exponent smaller by the same number of decimal places

In-Class Example 2