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# Multiplying And Dividing Monomials Module 1

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### Transcript

• 1. Multiplying and Dividing Monomials Module 1
• 2. What is a Monomial?
• 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
• 3. Examples
• The following are some examples of monomials:
• 4. Non-Examples
• The following are not examples of monomials:
• Mono means one, so a monomial has only one term
• 1 and 2 have multiple terms
• 3 has a variable under the radical sign
• 4 has a variable in the denominator
• 5. Degree of a variable
• 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
• Example: -5x ²y³ degree of x = 2
• degree of y = 3
• 3y² degree of y = 2
• 17 degree of 17 = 0 since there is no variable
• - m degree of m = 1
• 6. Degree of a Monomial
• The degree of a monomial is the sum of the degrees of all variable factors
• Example: -5x ²y³ degree = 2+3 = 5
• 7x y³ degree = 1+3 = 4
• -2xyz² degree = 1+1+2 = 4
• 7. Practice
• Find the degree of each monomial