Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in an expression. The acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you evaluate an expression with parentheses?

Back

To evaluate an expression with parentheses, first perform the operations inside the parentheses before applying any other operations according to the Order of Operations.

Front

What is the result of the expression 4(8 + 2 x 5 - 6)?

Back

The result is 48.

Front

How do you handle exponents in an expression?

Back

Exponents are handled after parentheses and before multiplication, division, addition, and subtraction, according to the Order of Operations.

Front

What is the value of (12 - 3)^2?

Back

The value is 81.

Front

How do you simplify an expression with both multiplication and division?

Back

When simplifying an expression with both multiplication and division, perform these operations from left to right as they appear in the expression.

Front

What is the result of the expression 3[(4 + 6) ÷ 2]?

Back

The result is 15.

Front

What is the first step in evaluating the expression 7 + (12 - 3)^2?

Back

The first step is to evaluate the expression inside the parentheses, which is (12 - 3) = 9.

Front

How do you evaluate an expression with multiple operations?

Back

Follow the Order of Operations: first evaluate expressions in parentheses, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.