The difference between a variable and a constant lies in their nature and behavior within mathematical expressions and equations.
1. Variable:
- A variable is a symbol or letter used to represent a value that can change or vary.
- In algebraic expressions and equations, variables are used to denote unknown quantities or values that can take different numerical values.
- Variables are not fixed and can be replaced by different numbers or values during calculations or problem-solving.
- Commonly used variables include x, y, a, b, n, etc.
For example:
In the equation 2x + 5 = 15, x is a variable representing an unknown value.
2. Constant:
- A constant is a fixed value or number that does not change in a given context or mathematical expression.
- Unlike variables, constants remain the same throughout a specific calculation, equation, or problem.
- Constants can be real numbers, integers, fractions, or irrational numbers like π (pi) or √2.
- Common constants include 2, 3, π (approximately 3.14159), √2 (approximately 1.41421), etc.
For example:
In the equation 3x + 7 = 16, 7 is a constant because its value remains the same throughout the equation.
In summary, variables are symbols representing changing or unknown values, while constants are fixed values that remain unchanged in a given context or equation.
A constant does not change its value over time. A variable, on the other hand, changes its value dependent on the equation. Constants are usually written in numbers. Variables are specially written in letters or symbols.
Answers & Comments
Answer:
The difference between a variable and a constant lies in their nature and behavior within mathematical expressions and equations.
1. Variable:
- A variable is a symbol or letter used to represent a value that can change or vary.
- In algebraic expressions and equations, variables are used to denote unknown quantities or values that can take different numerical values.
- Variables are not fixed and can be replaced by different numbers or values during calculations or problem-solving.
- Commonly used variables include x, y, a, b, n, etc.
For example:
In the equation 2x + 5 = 15, x is a variable representing an unknown value.
2. Constant:
- A constant is a fixed value or number that does not change in a given context or mathematical expression.
- Unlike variables, constants remain the same throughout a specific calculation, equation, or problem.
- Constants can be real numbers, integers, fractions, or irrational numbers like π (pi) or √2.
- Common constants include 2, 3, π (approximately 3.14159), √2 (approximately 1.41421), etc.
For example:
In the equation 3x + 7 = 16, 7 is a constant because its value remains the same throughout the equation.
In summary, variables are symbols representing changing or unknown values, while constants are fixed values that remain unchanged in a given context or equation.
Step-by-step explanation:
Verified answer
Answer:
A constant does not change its value over time. A variable, on the other hand, changes its value dependent on the equation. Constants are usually written in numbers. Variables are specially written in letters or symbols.