Multiplying And Dividing Monomials Module 1
Download as PPT, PDF2 likes1,741 views
This document defines monomials as single terms consisting of numbers, variables, or the product of numbers and variables, without variables in denominators or under radicals. It provides examples and non-examples of monomials. It also explains how to find the degree of a variable as its exponent and the degree of a monomial as the sum of the degrees of its variable factors.
1 of 8
Downloaded 46 times
Multiplying And Dividing Monomials Module 1
- 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