Examples of Finding the Degree of a Monomial

Oct 13, 2025 by windailys.com 47 views

In algebra, a monomial is an expression consisting of a single term, which can be a number, a variable, or a product of numbers and variables. The degree of a monomial is the highest power or exponent of the variable in the expression. In this article, we will focus on finding the degree of the monomial $-1.75 k^2$ .

What is the Degree of a Monomial?

The degree of a monomial is a measure of its complexity or the highest power of the variable in the expression. For example, in the monomial $3x^2$ , the degree is 2 because the highest power of the variable $x$ is 2. Similarly, in the monomial $4y^3$ , the degree is 3 because the highest power of the variable $y$ is 3.

Finding the Degree of the Monomial $-1.75 k^2$

To find the degree of the monomial $-1.75 k^2$ , we need to identify the highest power of the variable $k$ in the expression. In this case, the variable $k$ is raised to the power of 2, which means that the degree of the monomial is 2.

Why is the Degree of the Monomial $-1.75 k^2$ 2?

The degree of the monomial $-1.75 k^2$ is 2 because the highest power of the variable $k$ in the expression is 2. This means that the variable $k$ is squared, which is equivalent to raising it to the power of 2. Therefore, the degree of the monomial is 2.

Examples of Finding the Degree of a Monomial

Here are some examples of finding the degree of a monomial:

In the monomial $2x^3$ , the degree is 3 because the highest power of the variable $x$ is 3.
In the monomial $5y^2$ , the degree is 2 because the highest power of the variable $y$ is 2.
In the monomial $3z^4$ , the degree is 4 because the highest power of the variable $z$ is 4.

Conclusion

In conclusion, the degree of a monomial is the highest power of the variable in the expression. To find the degree of a monomial, we need to identify the highest power of the variable in the expression. In the case of the monomial $-1.75 k^2$ , the degree is 2 because the highest power of the variable $k$ is 2.

Frequently Asked Questions

Here are some frequently asked questions about the degree of a monomial:

What is the degree of the monomial $-2x^3$ ?
- The degree of the monomial $-2x^3$ is 3 because the highest power of the variable $x$ is 3.
What is the degree of the monomial $4y^2$ ?
- The degree of the monomial $4y^2$ is 2 because the highest power of the variable $y$ is 2.
What is the degree of the monomial $3z^4$ ?
- The degree of the monomial $3z^4$ is 4 because the highest power of the variable $z$ is 4.

References

Here are some references for further reading on the degree of a monomial:

Khan Academy. (n.d.). Monomials and Polynomials. Retrieved from <https://www.khanacademy.org/math/algebra/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2
Frequently Asked Questions About the Degree of a Monomial =============================================================

In this article, we will answer some frequently asked questions about the degree of a monomial.

Q: What is the degree of the monomial $-2x^3$ ?

A: The degree of the monomial $-2x^3$ is 3 because the highest power of the variable $x$ is 3.

Q: What is the degree of the monomial $4y^2$ ?

A: The degree of the monomial $4y^2$ is 2 because the highest power of the variable $y$ is 2.

Q: What is the degree of the monomial $3z^4$ ?

A: The degree of the monomial $3z^4$ is 4 because the highest power of the variable $z$ is 4.

Q: How do I find the degree of a monomial with a negative exponent?

A: To find the degree of a monomial with a negative exponent, you need to take the absolute value of the exponent and then add 1. For example, in the monomial $x^{-2}$ , the degree is 2 because the absolute value of the exponent is 2 and then you add 1.

Q: How do I find the degree of a monomial with a variable and a constant?

A: To find the degree of a monomial with a variable and a constant, you need to find the highest power of the variable in the expression. For example, in the monomial $3x^2y$ , the degree is 2 because the highest power of the variable $x$ is 2.

Q: Can a monomial have a degree of 0?

A: Yes, a monomial can have a degree of 0. For example, in the monomial $3$ , the degree is 0 because there is no variable in the expression.

Q: Can a monomial have a degree of 1?

A: Yes, a monomial can have a degree of 1. For example, in the monomial $4x$ , the degree is 1 because the highest power of the variable $x$ is 1.

Q: How do I compare the degrees of two monomials?

A: To compare the degrees of two monomials, you need to compare the highest powers of the variables in the expressions. For example, in the monomials $3x^2$ and $4y^2$ , the degree of $3x^2$ is 2 and the degree of $4y^2$ is 2, so they are equal.

Q: Can a monomial have a degree of a fraction?

A: No, a monomial cannot have a degree of a fraction. The degree of a monomial is always a whole number.

Q: Can a monomial have a degree of a negative number?

A: No, a monomial cannot have a degree of a negative number. The degree of a monomial is always a non-negative whole number.

Conclusion

In conclusion, the degree of a monomial is an important concept in algebra that helps us understand the complexity of an expression. By following the steps outlined in this article, you can find the degree of any monomial and compare the degrees of different monomials.

References

Here are some references for further reading on the degree of a monomial:

Khan Academy. (n.d.). Monomials and Polynomials. Retrieved from <https://www.khanacademy.org/math/algebra/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d7d-x2f5f7d7d/x2f5f7d