Table of Contents
Expressions and Operators
Algebraic expressions are combinations of variables, numbers, and operators. Operators are symbols that represent mathematical operations such as addition, subtraction, multiplication, and division.
Basic Operators
- Addition (+)
- Subtraction (-)
- Multiplication (*)
- Division (/)
Algebraic Expressions
An algebraic expression combines both numbers (constants) and variables with operators. For example, in the expression \( 3x + 4 \), \( 3x $\)and \( 4 $\)are terms, \( x $\)is a variable, \( 3 $\)and \( 4 $\)are coefficients and constants, respectively, and \( + $\)is an operator.
Examples of Algebraic Expressions
- \( 2x + 3y \)
- \( 4a - 7b \)
- \( 5x^2 + 3x - 4 \)
R Examples Using Org-Babel
We will demonstrate some basic algebraic operations using R.
Addition Example in R
x <- 5
y <- 3
x + y
Subtraction Example in R
x <- 10
y <- 4
x - y
Multiplication Example in R
a <- 7
b <- 2
a * b
Division Example in R
a <- 20
b <- 4
a / b
Conclusion
Understanding algebraic expressions and operators is fundamental in algebra. It involves knowing how to combine variables and constants with basic arithmetic operations to form expressions.