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. 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 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 simplify an expression with multiple operations?

Back

To simplify an expression with multiple operations, follow the order of operations: first solve expressions in parentheses, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Front

What is the first step in simplifying the expression 3 + 4 x 6 - 4?

Back

The first step is to perform the multiplication: 4 x 6 = 24.

Front

In the expression 12 - 4 x 2, what operation should be performed first?

Back

The multiplication should be performed first: 4 x 2 = 8.

Front

What is the result of the expression 10 + 15 ÷ 5?

Back

The result is 13, calculated by first performing the division: 15 ÷ 5 = 3, then adding: 10 + 3 = 13.

Front

How do you handle parentheses in an expression?

Back

When an expression contains parentheses, simplify the expression inside the parentheses first before applying the order of operations to the rest of the expression.

Front

What is the value of the expression 5 - (7 + 3) ÷ 2?

Back

The value is 0. First, simplify inside the parentheses: 7 + 3 = 10, then divide: 10 ÷ 2 = 5, and finally subtract: 5 - 5 = 0.

Front

What is the result of the expression (4 x 8) - (9 + 7)?

Back

The result is 16. First, calculate inside the parentheses: 4 x 8 = 32 and 9 + 7 = 16, then subtract: 32 - 16 = 16.

Front

Why is it important to follow the order of operations?

Back

Following the order of operations is crucial to ensure that mathematical expressions are evaluated consistently and correctly, leading to the correct answer.