Order of Operations (PEMDAS)

Front

What does PEMDAS stand for in the order of operations?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the first step in solving the expression 4 + 3 - (8 - 6) x 2?

Back

The first step is to solve the expression inside the parentheses: (8 - 6) = 2.

Front

In the expression 12 ÷ 3 x 4, which operation should be performed first according to PEMDAS?

Back

According to PEMDAS, division and multiplication are performed from left to right, so 12 ÷ 3 should be performed first.

Front

Evaluate the expression 2 + 2 x 2 using the order of operations.

Back

First, perform the multiplication: 2 x 2 = 4. Then, add: 2 + 4 = 6.

Front

How do you evaluate the expression 7 x (4 + 1) - 7 x 2?

Back

First, solve the parentheses: (4 + 1) = 5. Then, calculate: 7 x 5 = 35 and 7 x 2 = 14. Finally, subtract: 35 - 14 = 21.

Front

What is the result of the expression 8 ÷ 8 + 6 x 2?

Back

First, perform the division: 8 ÷ 8 = 1. Then, perform the multiplication: 6 x 2 = 12. Finally, add: 1 + 12 = 13.

Front

What is the importance of parentheses in the order of operations?

Back

Parentheses indicate that the operations inside them should be performed first, which can change the outcome of the expression.

Front

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

Back

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

Front

What is the difference between addition and subtraction in the order of operations?

Back

Addition and subtraction are also of equal precedence and are performed from left to right in the order they appear.

Front

How would you solve the expression 5 + 3 x (2 + 1)?

Back

First, solve the parentheses: (2 + 1) = 3. Then, perform the multiplication: 3 x 3 = 9. Finally, add: 5 + 9 = 14.