Multiplying Monomials – Free Quiz & Examples

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  Posted by Hackonmath Hackonmath Jan 7 - Filed in Other - 50 views
  

  Multiplying monomials means two multiply two single terms. The single term may have a coefficient and exponents. Multiplying coefficients and then variables gives the complete result.

  Monomials:

  A Monomial is a single term having coefficients, variables, or a product of coefficients and variables.

  It can be positive or negative.

  Examples are 5x, 45, x

  Monomial

  Multiplication of a monomial by monomial

  While doing multiplication you need to follow two steps:

  Step 1: Multiply coefficients

  Multiply the coefficient of the first term by the coefficient of the second term

  Step 2: Multiply exponents

  Multiply variables of the first term with second term variables

  Case 1: If there are similar variables add the power.

  Example: y x y

  Here the power of y is 1 in both cases. Adding power 1 + 1 = 2

  So y x y = y²

  Case 2: If the variables are not alike then do normal multiplication.

  Example: y x z = yz

  Example of multiplication of monomials

   

                      Example Solution  2⁴ ⋅ 2⁵ 2⁴⁺⁵
  =2⁹ y⁴ ⋅ y⁵ y⁴⁺⁵
  =y⁹ 5² ⋅ y³ 25y³
  Note: If you keep the solution same as question here, it works are first term
  do not contain variable and second term lacks coefficient. 3y ⋅ 5y = (3 x 5) ⋅ (y x y)
  = 15y² 3y ⋅ 4z = (3 x 4) ⋅ (y x z)
  =12yz

   

  Multiplication of monomials

   

  Multiplying Monomials and a Binomial

  To multiply a monomial by a binomial, simply use the distributive property.

  To do the multiplication of monomial and binomial (two terms) follow two steps:

  Step 1: Multiply monomial with first term

  Multiply the monomial with the first term of the binomial expression.

  Multiplying with the first becomes similar to multiplying two monomials. Now you can just repeat the process above

  Step 2: Multiply monomial with second term

  Multiply the monomial with the second term of the binomial which becomes similar to multiplying monomials.

  Once done check if the result can be further reduced.

  Examples of multiplication of monomial with binomial

  For detail information, free worksheet, free Quizzes, Examples please visit multiplying Monomials