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Degree of a monomial

Definition of degree of a monomial

What is the definition of degree of a monomial?

The degree of a monomial definition:

The degree of a monomial is the sum of degrees of all letters (variables) in this monomial.

Examples of degree of monomial

Example of the degree of a monomial.

What is the degree of the monomial 5a?

The literal part of the monomial is

a = a1

Answer: the degree of the monomial 5a equals one.

Example of the degree of a monomial.

What is the degree of the monomial

5ab2h3s4

We know that

5ab2h3s4 =
5a1b2h3s4

Add the exponents of all the letters:

1 + 2 + 3 + 4 = 10

Answer: the degree of the monomial 5ab2h3s4 equals 10.

Example of the degree of a monomial.

And now the monomial 51. There are no letters in the monomial.

Question: what is the degree of the monomial 51?

Answer: the degree of the monomial 51 equals zero.

Example of the degree of a monomial.

What is the degree of zero monomial, i.e 0?

Answer: the degree of zero monomial is not determined.

See How do i find the degree of a monomial?