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### Grade 7 - Mathematics2.12 Degree of a Monomial

Definition:
• The degree of a monomial is the sum of the degrees in each of its variables.
• The degree of monomial is the sum of the exponents of the variable in the monomial.
• The degree of a nonzero constant term is 0.
• The constant 0 does not have a degree.
•  Monomial Degree 10 0 3x 1 xy 1+1=2 1/2ab2 1+2 = 3 -1.5a6 6
•  Not a monomial Reason 8 + x A sum is not a monomial 2/n A monomial cannot have a variable in the denominator. 5x A monomial cannot have a vairable exponents a-1 The variable must have a whole number exponent

Example: Find the degree of monomial x7y3z2.

Solution: Sum of the degree of in each variables is = 7+3+2 = 12.
Therefore the degree of the monomial is 12.

Directions: Find the degree of monomial for the following expressions. Also write 10 monomial expressions and their degree.
 Q 1: Find the degree of the monomial x9y3z2.Answer: Q 2: Find the degree of the monomial x6y7z2.Answer: Q 3: Find the degree of the monomial x3y2z2.Answer: Q 4: Find the degree of the monomial x4y4z2.Answer: Q 5: Find the degree of the monomial x3y3z3.Answer: Q 6: Find the degree of the monomial x2y3z1.Answer: Q 7: Find the degree of the monomial x7y3z2.Answer: Q 8: Find the degree of the monomial x2y7z2.Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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