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 to remember this order is PEMDAS: 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 Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you solve an expression with parentheses?

Back

You solve expressions with parentheses first, performing the operations inside the parentheses before applying the order of operations to the rest of the expression.

Front

What is the result of 2 + 3 x 4?

Back

The result is 14. According to the order of operations, you perform multiplication first: 3 x 4 = 12, then add 2: 2 + 12 = 14.

Front

What is the result of 10 - 2 x 5 + 3?

Back

The result is 3. First, perform multiplication: 2 x 5 = 10, then the expression becomes 10 - 10 + 3 = 3.

Front

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

Back

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

Front

What is the result of 24 ÷ 4 x 2?

Back

The result is 12. According to the order of operations, perform division first: 24 ÷ 4 = 6, then multiply by 2: 6 x 2 = 12.

Front

How do you handle addition and subtraction in an expression?

Back

Addition and subtraction are performed from left to right as they appear in the expression, and they have the same level of precedence.

Front

What is the result of 16 ÷ 4 + 14?

Back

The result is 18. First, perform the division: 16 ÷ 4 = 4, then add 14: 4 + 14 = 18.

Front

What is the result of 10 + 5 x 5?

Back

The result is 35. According to the order of operations, perform multiplication first: 5 x 5 = 25, then add 10: 10 + 25 = 35.