What is a monomial? I do not exactly get what it is. A simple, easy to understand definition would be good.
Thank you!
This site explains monomials well.
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A monomial is consisting of oneterm only
A monomial is a term in algebraic expressions that consists of only one variable or constant, raised to a non-negative integer exponent or power. It does not include any addition or subtraction operations.
To understand what a monomial is, let's break down the definition into simpler parts:
1. Variable: In algebra, a variable is a symbol that represents an unknown quantity or a value that can change. Common variables include x, y, and z.
2. Constant: A constant is a fixed value that does not change. Examples of constants include numbers like 1, 2, 3, and π.
3. Exponent or Power: An exponent indicates how many times a variable or constant is multiplied by itself. For example, x^2 represents x multiplied by itself (x * x) and x^3 represents x multiplied by itself two times (x * x * x).
Now, let's put these parts together. A monomial can be a single variable with or without an exponent, such as x or x^2. Similarly, it can be a single constant with or without an exponent, such as 5 or 3^2. It can also be a combination of a variable and a constant, again with or without exponents, such as 2x or 2x^3.
However, keep in mind that monomials do not include addition or subtraction operations. For example, 3x + 2 is not a monomial because it involves addition.
I hope this explanation helps clarify what a monomial is!