Which description matches the algebraic expression 45 n – Embarking on an exploration of the enigmatic realm of algebra, we delve into the intricacies of the algebraic expression 45n. This expression, seemingly simple yet brimming with mathematical significance, unveils a world of variables, coefficients, and operations, inviting us to decipher its hidden meanings.
In this comprehensive analysis, we unravel the structure and components of 45n, shedding light on the role of variables and coefficients. We delve into the operations involved and explore the order of precedence, unraveling the secrets behind evaluating the expression for various values of n.
Furthermore, we venture into real-world applications, showcasing how 45n transcends theoretical boundaries and finds practical utility in diverse scenarios.
Algebraic Expression: 45n: Which Description Matches The Algebraic Expression 45 N
An algebraic expression is a mathematical phrase that represents a value or a relationship between values using variables and mathematical operations. 45n is an example of an algebraic expression.
45n consists of two components: the variable “n” and the coefficient “45”. The variable “n” represents an unknown value that can change, while the coefficient “45” is a fixed value.
Variables and Coefficients, Which description matches the algebraic expression 45 n
In the expression 45n, “n” is the variable and “45” is the coefficient.
The variable “n” can take on any numerical value, and the coefficient “45” multiplies the variable.
Operations
The only operation in the expression 45n is multiplication. The coefficient “45” is multiplied by the variable “n”.
The order of operations does not affect the value of 45n because there is only one operation.
Evaluation
To evaluate 45n, we substitute a numerical value for “n” and perform the multiplication.
| n | 45n |
|---|---|
| 0 | 0 |
| 1 | 45 |
| 2 | 90 |
Applications
45n can be used in various real-world scenarios:
- Calculating the total cost of items: If each item costs $45, and “n” represents the number of items, then the total cost can be expressed as 45n.
- Finding the area of a rectangle: If the length of a rectangle is 45 units and “n” represents the width, then the area of the rectangle can be expressed as 45n.
Comparison with Similar Expressions
45n is similar to other algebraic expressions such as 30m and 2x.
- All three expressions have a variable and a coefficient.
- All three expressions represent a value that can change depending on the value of the variable.
However, there are also differences between these expressions:
- The coefficients are different.
- The variables are different.
Common Queries
What is an algebraic expression?
An algebraic expression is a mathematical phrase that combines numbers, variables, and operations to represent a mathematical concept.
What is the variable “n” in 45n?
The variable “n” represents an unknown quantity that can take on any numerical value.
What is the role of the coefficient “45” in the expression?
The coefficient “45” multiplies the variable “n” and determines the magnitude of the expression.
