Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that dictates 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 an expression with parentheses?

Back

You solve expressions with parentheses first, calculating the value inside the parentheses before applying any other operations.

Front

What is the result of the expression 4 + 3 x 2 + 8?

Back

The result is 18. According to the Order of Operations, you first multiply 3 x 2 to get 6, then add 4 + 6 + 8.

Front

How do you handle multiplication and division in an expression?

Back

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

Front

What is the result of the expression 2 x (9 + 7) - 3?

Back

The result is 29. First, calculate the parentheses (9 + 7 = 16), then multiply 2 x 16 = 32, and finally subtract 3 to get 29.

Front

How do you solve an expression with both multiplication and division?

Back

You perform multiplication and division from left to right as they appear in the expression.

Front

What is the result of the expression 8 + 24 / (2 x 6) - 4?

Back

The result is 6. First, calculate the parentheses (2 x 6 = 12), then divide 24 by 12 to get 2, and finally add 8 and subtract 4.

Front

What is the result of the expression 4(3 - 1) + (5 x 5) - 3?

Back

The result is 30. First, calculate the parentheses (3 - 1 = 2), then multiply 4 x 2 = 8, calculate (5 x 5 = 25), and finally add 8 + 25 - 3.

Front

How do you simplify an expression with both addition and subtraction?

Back

You perform addition and subtraction from left to right as they appear in the expression.