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# Multiplying And Dividing Monomials Module 1

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### Multiplying And Dividing Monomials Module 1

1. 1. Multiplying and Dividing Monomials Module 1
2. 2. What is a Monomial? <ul><li>A monomial is a single term that is a number, a variable, or the product of a number and one or more variables. The variable(s) must not be present in the denominator or under a radical sign </li></ul>
3. 3. Examples <ul><li>The following are some examples of monomials: </li></ul>
4. 4. Non-Examples <ul><li>The following are not examples of monomials: </li></ul><ul><li>Mono means one, so a monomial has only one term </li></ul><ul><li>1 and 2 have multiple terms </li></ul><ul><li>3 has a variable under the radical sign </li></ul><ul><li>4 has a variable in the denominator </li></ul>
5. 5. Degree of a variable <ul><li>The degree of a variable is the number of times the variable occurs as a factor. This just corresponds to the exponent of the variable </li></ul><ul><li>Example: -5x ²y³ degree of x = 2 </li></ul><ul><li>degree of y = 3 </li></ul><ul><li>3y² degree of y = 2 </li></ul><ul><li>17 degree of 17 = 0 since there is no variable </li></ul><ul><li>- m degree of m = 1 </li></ul>
6. 6. Degree of a Monomial <ul><li>The degree of a monomial is the sum of the degrees of all variable factors </li></ul><ul><li>Example: -5x ²y³ degree = 2+3 = 5 </li></ul><ul><li> 7x y³ degree = 1+3 = 4 </li></ul><ul><li>-2xyz² degree = 1+1+2 = 4 </li></ul>
7. 7. Practice <ul><li>Find the degree of each monomial </li></ul>