To determine the degree of the monomial [tex]\(2025'\)[/tex], let's analyze the expression step-by-step.
1. Understand Monomials:
A monomial is a single term algebraic expression, which can be a constant, a variable, or a product of constants and variables raised to powers. For example, [tex]\(7, x, 3y^2, 4x^3\)[/tex] are all monomials.
2. Identify the Structure:
The given term is [tex]\(2025'\)[/tex]. This can be considered a specific notation where the term [tex]\(2025\)[/tex] is indicated as a monomial. In algebraic expressions, if a term appears without an explicit exponent, it is understood to be raised to the power of 1.
3. Determine the Degree:
The degree of a monomial is defined as the sum of the exponents of all the variables present in the term. In this case, the term [tex]\(2025'\)[/tex] treats the whole number as a single entity. Since there are no variables present and no explicit exponents, we consider the implicit exponent of the number.
4. Implicit Exponent:
Since [tex]\(2025\)[/tex] is written without any exponent, its implicit exponent is 1.
5. Final Determination:
Therefore, the degree of the monomial [tex]\(2025'\)[/tex] is 1.
Hence, the degree of the monomial [tex]\(2025'\)[/tex] is 1.
