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 evaluate an expression with parentheses?

Back

To evaluate an expression with parentheses, first perform the operations inside the parentheses before applying any other operations according to the Order of Operations.

Front

What is the result of the expression 4 · 3 - 7?

Back

The result is 5. First, multiply 4 and 3 to get 12, then subtract 7.

Front

How do you handle addition and subtraction in an expression?

Back

Addition and subtraction are performed from left to right after all other operations (like multiplication and division) have been completed.

Front

What is the result of the expression (10 + 5) - 6?

Back

The result is 9. First, add 10 and 5 to get 15, then subtract 6.

Front

What is the result of the expression 4 + 2 x 7?

Back

The result is 18. According to the Order of Operations, multiply 2 and 7 to get 14, then add 4.

Front

How do you evaluate an expression with division?

Back

To evaluate an expression with division, perform the division operation as per the Order of Operations, from left to right.

Front

What is the result of the expression (7 + 41) ÷ 2 – 15?

Back

The result is 9. First, add 7 and 41 to get 48, then divide by 2 to get 24, and finally subtract 15.

Front

What is the result of the expression 7 - 9 ÷ 9?

Back

The result is 6. First, divide 9 by 9 to get 1, then subtract from 7.