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 a mathematical 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 solve the expression 5 x (6-3)?

Back

First, solve the expression inside the parentheses: (6-3) = 3. Then multiply: 5 x 3 = 15.

Front

What is the result of the expression (12 + 51) - 4^2?

Back

First, calculate the exponent: 4^2 = 16. Then, perform the addition: 12 + 51 = 63. Finally, subtract: 63 - 16 = 47.

Front

In the expression 12 ÷ 3 x 4, what operation do you perform first?

Back

According to the Order of Operations, you perform division and multiplication from left to right. So, first, you do 12 ÷ 3.

Front

What is the value of the expression 18 ÷ (6 + 3)?

Back

First, solve the expression inside the parentheses: (6 + 3) = 9. Then divide: 18 ÷ 9 = 2.

Front

How do you evaluate the expression 6^2 - 3·4?

Back

First, calculate the exponent: 6^2 = 36. Then perform the multiplication: 3·4 = 12. Finally, subtract: 36 - 12 = 24.

Front

What is the first step in solving the expression 5 + 2 x (3 - 1)?

Back

First, solve the expression inside the parentheses: (3 - 1) = 2. Then, perform the multiplication: 2 x 2 = 4.

Front

Why is it important to follow the Order of Operations?

Back

Following the Order of Operations ensures that mathematical expressions are evaluated consistently and correctly, leading to the same result regardless of who performs the calculation.

Front

What is the result of the expression 7 + 2 x 5 - 3?

Back

First, perform the multiplication: 2 x 5 = 10. Then, perform the addition and subtraction from left to right: 7 + 10 - 3 = 14.