1. MONOMIALS!! Today’s Objectives: identify and write monomials apply properties of powers and properties of exponent to monomials

2. Observe the following expressions…

3. What were your categories?

4. Definition of a Monomial A monomial is: –A number –A variable –The product of a number and a variable A monomial cannot contain: –Variables in the denominator –Variables with exponents that are negative –Variable under radicals

5. Some important concepts… Constants –Monomials that contain no variables Coefficient –Numerical factor of a monomial Degree –The sum of the exponents on the variables Power –Expression of the form x n

6. Properties of Exponents

7. Operations AddingSubtracting

8. Operations MultiplyingDividing

9. Properties of Powers

11. Before you leave… For each property discussed today form one example to represent. Label the property being presented. –Product of Powers –Quotient of Powers –Power of a Power –Power of a Product –Power of a Quotient

12. Also, choose one of the following… Simplify using properties of exponents and properties of powers. For each step state the operation used.

13. WITHOUT a calculator 10 1000 100 10 (10 10 ×10 100 ) 10 1000 10/10 10 10 10 ×10 100×100 (10 10 ) 10 Based on our knowledge of exponents, place the following in ascending order… (10/100) 10 1 100 10 /10 10