Monomial Expression

A monomial is an expression in algebra that contains one term, like 3xy. Monomials include numbers, whole numbers, and variables that are multiplied together, and variables that are multiplied together. for example: 3xy, 5x,100,3abc,etc.

A monomial is an algebraic expression with only one term, so 132y -  9y or 47z + 2y are not monomials. All algebraic expressions with one term, however, are examples of monomials

There are two rules to remember about monomials:

2 * 2 = 4 (a monomial) 2 * x = 2x 2 * 6 = 12 2 * y = 2y

Illustration: Which of the following expressions are monomials?

                        2xy+4yz, 23xz, -8yx, 33y-8z

Solution: As we know that A monomial is an algebraic expression with only one term. As 23xz and -8yx are algebraic expressions with one term only. Hence 23xz and -8yx  are monomials. But 2xy+4yz and 33y-8z contain two terms hence these algebraic expressions are not monomials.

Illustration: Which of the following expressions are monomials?

                           -81yx, 4uv-5t, 8vw+3, 22xyz

Solution:  As we know that A monomial is an algebraic expression with only one term. As -81yx and 22xyz are algebraic expressions with one term only. Hence -81yx and 22xyz are monomials.But 4uv-5t and 8vw+3 contain two terms hence these algebraic expressions are not monomials.