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, performing the operations inside the parentheses before applying the Order of Operations to the rest of the expression.

Front

What is the result of the expression (3 + 5) x 2?

Back

The result is 16. First, calculate inside the parentheses: 3 + 5 = 8, then multiply by 2: 8 x 2 = 16.

Front

In the expression 12 - 4 x 2, which operation do you perform first?

Back

You perform multiplication first. According to the Order of Operations, multiplication comes before subtraction.

Front

What is the result of the expression 12 - 4 x 2?

Back

The result is 4. First, calculate 4 x 2 = 8, then subtract: 12 - 8 = 4.

Front

How do you handle exponents in an expression?

Back

You handle exponents after parentheses but before multiplication, division, addition, and subtraction, according to the Order of Operations.

Front

What is the value of 2^3?

Back

The value of 2^3 is 8, as it means 2 multiplied by itself three times: 2 x 2 x 2 = 8.

Front

What is the result of the expression 25 - 14 + 3?

Back

The result is 14. You perform the operations from left to right: 25 - 14 = 11, then 11 + 3 = 14.

Front

In the expression 7 x (7 - 4) ÷ 3, what do you calculate first?

Back

You calculate the expression inside the parentheses first: 7 - 4 = 3.