Negative and Fractional Exponents

1-21 Negative Exponents

Introduced in L51

Warm Up

Learning & Habit Objectives

Learning: I will work with negative exponents

Habit: I will take beautiful notes and use them

Success Criteria

• I can simplify expressions in scientific notation with negative exponents

• I can simplify base expressions with negative exponents

Notebook: Scientific Notation with Negative Exponents

Notebook: Rename 0.0008 in scientific notation (will do in class)

1) Draw a line where the decimal needs to go to put the 8 in the ones place

2) Count the digits between the . and your line: this number will be your exponent on the 10. Make it a negative number

3) Write your answer in scientific notation

Multiple Choice

Simplify

$$5.25\times10^{-2}$$  

• $$\frac{1}{100}$$  

• 0.0525

• $$525$$  

Multiple Choice

Rename in scientific notation

$$0.007$$  

• $$7\times10^{-3}$$  

• $$70\times10^{-4}$$  

• $$0.7\times10^{-2}$$  

• Bond. James Bond.

Multiple Choice

Simplify

$$5^{-2}$$  

• $$0.05$$  

• $$25$$  

• $$\frac{1}{25}$$  

• $$\frac{1}{10}$$  

Multiple Choice

Simplify

$$\left(\frac{2}{3}\right)^{-2}$$  

• $$\frac{9}{4}$$  

• $$\frac{4}{9}$$  

• $$\frac{.02}{.03}$$  

• $$\frac{.04}{.09}$$