Lesson 4-7 Pages 181-185

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!

4422 16164411 444400 1144-1-1

44-2-241

The pattern shows that a negative exponent means to write the base as the denominator of a fraction with a numerator of 1.

161

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:

33-4-4 == 113344

Example 2:

Write each expression using a positive exponent:

mm-2-2 == 11mm22

Example 3:

Write each expression using a negative exponent:

11 == 11 == 55-3-3

125125 5533

Example 4:

An atom is an incredibly small unit of matter. The smallest atom has a diameter of approximately 1/10th of a nanometer, or 0.0000000001 meter. Write this decimal as a fraction and as a power of 10.

0.000000000111

10,000,000,00010,000,000,00011

== 1010-10-10

10101010

Example 5:

Evaluate r-2 if r = -4

11==

11==

11rr22 (-4)(-4)22 1616

Page 183

Guided Practice

#’s 3-13

Pages 181-182 with someone at home and study

examples!

Read:

Homework: Pages 183-185

#’s 14-52 even

#’s 55-56, 61-74,

Practice Quiz 2: 1-10Lesson Check 4-7

Page

732

Lesson 4-7

Lesson Check 4-7