Lesson 4-7 Pages Negative Exponents Lesson Check 4-6

What you will learn! 1.How to write expressions using negative exponents. 2.How to evaluate numerical expressions containing negative exponents.

What you really need to know! The pattern shows that a negative exponent means to write the base as the denominator of a fraction with a numerator of 1.

What you really need to know! We can evaluate algebraic expressions with negative exponents using the definition of negative exponents.

Example 1: Write each expression using a positive exponent: 3 -4 =

Example 2: Write each expression using a positive exponent: m -2 = 1 m2m2m2m2

Example 3: Write each expression using a negative exponent: 1 = 1 =

Example 4: An atom is an incredibly small unit of matter. The smallest atom has a diameter of approximately 1/10 th of a nanometer, or meter. Write this decimal as a fraction and as a power of 10.

,000,000,000 1=

Example 5: Evaluate r -2 if r = -4 1 = 1 = 1 r2r2r2r2 (-4) 2 16

Page 183 Guided Practice #’s 3-13

Pages with someone at home and study examples! Read:

Homework: Pages #’s even #’s 55-56, 61-74, Practice Quiz 2: 1-10 Lesson Check 4-7

Page 732 Lesson 4-7

Lesson Check 4-7