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 common acronym is PEMDAS: 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

In the expression 3 + 4 x 6 - 4, which operation should be performed first?

Back

Multiplication should be performed first, according to the order of operations.

Front

How do you simplify the expression 23 + (30 ÷ 10) x 4?

Back

First, simplify inside the parentheses: 30 ÷ 10 = 3. Then multiply: 3 x 4 = 12. Finally, add: 23 + 12 = 35.

Front

What is the result of the expression 7 x (7 - 4) ÷ 3?

Back

First, simplify inside the parentheses: 7 - 4 = 3. Then multiply: 7 x 3 = 21. Finally, divide: 21 ÷ 3 = 7.

Front

What is the value of (24 - 16) ÷ 8?

Back

First, simplify inside the parentheses: 24 - 16 = 8. Then divide: 8 ÷ 8 = 1.

Front

How do you solve the expression 24 x (4 - 2) ÷ 6?

Back

First, simplify inside the parentheses: 4 - 2 = 2. Then multiply: 24 x 2 = 48. Finally, divide: 48 ÷ 6 = 8.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first, altering the standard order of operations.

Front

What is the result of the expression 5 + 2 x 3 - 1?

Back

According to the order of operations, first multiply: 2 x 3 = 6. Then add and subtract from left to right: 5 + 6 - 1 = 10.

Front

How do you handle exponents in the order of operations?

Back

Exponents are calculated after parentheses but before multiplication, division, addition, and subtraction.