SBP-Program

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Determine whether each expression is a monomial

How to determine if an expression is a monomial?

Determine whether each expression is a monomial. Write yes or no. Explain.

3m
5k5
-a4
-6.8k2

All the expressions are monomials because they only use multiplication.

For example, the expression -6.8k2 only uses multiplication

-6.8k2 =
-6.8 * k * k

See the definition of monomials.

Determine whether each expression is a monomial. Write yes or no. Explain.

Example.

Is the expression a monomial?

124cd

Yes, it is a monomial. Only multiplication is used here.

Example.

Is the expression a monomial?

29h-2

No, it is not a monomial. Why? It is because the exponent of the variable h is negative.

We can write

29h-2 =
29/h2

We have got a division. But a monomial cannot contain a division by a variable.

Example.

Is the expression a monomial?

2-2h2

Yes, it is a monomial. Why? The exponent of the coefficient 2 is negative. The coefficient of a monomial can have negative exponent but its literal part cannot.

We can write

2-2h2 =
(1/22) * h2 =
(1/4) * h2 =
0.25 * h2 = 0.25h2

The 0.25h2 is a monomial. Determine its degree. The degree of the monomial 0.25h2 is two.

See how to determine degree of monomial.