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 order is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often abbreviated as PEMDAS.

Front

What does 'parentheses' mean in the context of order of operations?

Back

Parentheses are symbols used to group numbers and operations together. Calculations inside parentheses should be performed first.

Front

What does 'exponents' mean?

Back

Exponents indicate how many times a number (the base) is multiplied by itself. For example, 3^2 means 3 x 3.

Front

What is the result of 5 + 2 x 3?

Back

The result is 11. According to the order of operations, multiplication is performed before addition.

Front

What is the result of (8 - 3) x 2?

Back

The result is 10. First, calculate inside the parentheses: 8 - 3 = 5, then multiply by 2.

Front

What does 'multiplication' mean in the order of operations?

Back

Multiplication is one of the basic arithmetic operations, representing repeated addition. It is performed after parentheses and exponents.

Front

What is the result of 4^2 + 3^2?

Back

The result is 25. First, calculate the exponents: 4^2 = 16 and 3^2 = 9, then add them together.

Front

What is the result of 10 ÷ 2 + 3?

Back

The result is 8. According to the order of operations, division is performed before addition.

Front

What does 'division' mean in the order of operations?

Back

Division is one of the basic arithmetic operations, representing the process of splitting a number into equal parts. It is performed after parentheses and exponents.

Front

What is the result of 6 + 2 x (3 - 1)?

Back

The result is 10. First, calculate inside the parentheses: 3 - 1 = 2, then multiply by 2, and finally add 6.