Question

Choose the monomials from the following expressions:

• A. $p^2$
• B. $8$
• C. $a+4b$
• D. $\frac{9}{m}$
  

Answer 1

Answer: (A), (B)

$8$

$\underset{–}{DefinitionofaMonomial:}$

Monomial is a type of expression which has only a single non-zero term in it. It consists of different parts like the coefficient, the variable, and its degree.


$\underset{–}{IdentificationofaMonomial:}$

A monomial expression must have a single non-zero term. The exponents of the term must be a non-zero whole number.


In option (a.), we are given with an expression $p^2$. $p^2$ is a monomial as it contains a single non-zero term and have exponents as whole numbers ($p^2$ has exponent as $2$, i.e., a whole number).

In option (b.), we are given with an expression $8$. $8$ is a monomial as it contains a single non-zero term and have exponents as whole numbers ($8$ has exponent as $1$, i.e., a whole number).

In option (c.), we are given with an expression $a+4b$. $a+4b$ contains two non-zero terms and hence, it is a binomial and not a monomial.

In option (d.), we are given with an expression $\frac{9}{m}$. $\frac{9}{m}$ is not a monomial as it contains a variable in its denominator. Also, the exponent of the variable in $\frac{9}{m}$ is not a whole number (Exponent of $m$ in $\frac{9}{m}$ is $-1$).


Therefore, option (a.) and (b.) are the correct answers.