Table of Contents
The acronym PEMDAS helps to remember the order of operations in algebra. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Parentheses
First, perform all operations inside parentheses.
\\($ (a + b) \times c $\)
Exponents
Then, solve the exponents (or powers).
\\($ a^b $\)
Multiplication and Division
Next, perform multiplication and division from left to right.
\\($ \frac{a \times b}{c} $\)
Addition and Subtraction
Finally, perform addition and subtraction from left to right.
\\($ a + b - c $\)
Examples in R
Let's see some examples of these operations using R programming language.
Evaluating an expression with all operations.
# Expression: (3 + 2) ^ 2 - 4 * 2
result <- (3 + 2) ^ 2 - 4 * 2
print(result)
Evaluating a more complex expression.
# Expression: ((2 * 3) - (4 / 2)) ^ 2 + 6
result <- ((2 * 3) - (4 / 2)) ^ 2 + 6
print(result)
You should know PEMDAS by heart, the order of operations is crucial for correctly solving algebraic expressions.