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 helps 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: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Front

What is the first step in solving the expression: 3 + 5 × 2?

Back

The first step is multiplication: 5 × 2 = 10, then add 3 to get 13.

Front

True or False? The expression 4 + 2 × 3 is equal to 10.

Back

False. The correct answer is 10, but the order of operations gives 4 + 6 = 10.

Front

What operation should be performed first in the expression: (6 + 2) × 3?

Back

The first operation is addition inside the parentheses: 6 + 2 = 8, then multiply by 3 to get 24.

Front

Solve the expression: 8 - 3 × 2 + 4.

Back

The answer is 6. First, multiply 3 × 2 = 6, then 8 - 6 + 4 = 6.

Front

What is the result of the expression: 10 ÷ 2 + 3 × 4?

Back

The result is 16. First, divide 10 ÷ 2 = 5, then multiply 3 × 4 = 12, and finally add 5 + 12 = 17.

Front

What is the first step in solving the expression: 5 × (2 + 3) - 4?

Back

The first step is to solve the expression inside the parentheses: 2 + 3 = 5.

Front

What is the result of the expression: 12 ÷ (2 + 4) × 3?

Back

The result is 6. First, solve the parentheses: 2 + 4 = 6, then 12 ÷ 6 = 2, and finally 2 × 3 = 6.

Front

What is the order of operations for the expression: 7 + 2 × (3 - 1)?

Back

The order is: parentheses first (3 - 1 = 2), then multiplication (2 × 2 = 4), and finally addition (7 + 4 = 11).