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 common acronym to remember this is PEMDAS: 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: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Front

How do you simplify an expression with parentheses?

Back

To simplify an expression with parentheses, first perform the operations inside the parentheses before applying the order of operations to the rest of the expression.

Front

What is the result of 5 x (6 + 4)?

Back

The result is 50, because you first calculate the expression in parentheses (6 + 4 = 10) and then multiply by 5 (5 x 10 = 50).

Front

What is the value of 9 squared (9^2)?

Back

9 squared (9^2) is equal to 81.

Front

How do you handle division in the order of operations?

Back

In the order of operations, division is performed after parentheses and exponents, and before addition and subtraction. It is done from left to right.

Front

What is the result of 30 / (9 - 4)?

Back

The result is 6, because you first calculate the expression in parentheses (9 - 4 = 5) and then divide 30 by 5 (30 / 5 = 6).

Front

What is the result of 2 + (9^2 - 4)?

Back

The result is 79, because you first calculate the expression in parentheses (9^2 = 81, then 81 - 4 = 77) and then add 2 (2 + 77 = 79).

Front

What is the difference between multiplication and division in the order of operations?

Back

Multiplication and division are of equal precedence in the order of operations and are performed from left to right as they appear in the expression.

Front

What is the result of 18 + (6 - 2) × 2?

Back

The result is 26, because you first calculate the expression in parentheses (6 - 2 = 4) and then multiply by 2 (4 x 2 = 8), and finally add 18 (18 + 8 = 26).