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 PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the first step in simplifying the expression 3 + 4 x 6 - 4?

Back

The first step is to perform multiplication, so calculate 4 x 6 first.

Front

How do you evaluate an expression with parentheses?

Back

You should simplify the expression inside the parentheses first before applying any other operations.

Front

What is the result of (2 + 7 - 1) ÷ 2²?

Back

The result is 2.

Front

How do you handle exponents in an expression?

Back

Exponents should be calculated after any operations inside parentheses and before multiplication, division, addition, or subtraction.

Front

What is the value of 3⁴?

Back

The value of 3⁴ is 81.

Front

How do you simplify the expression 2 x 9 ÷ 3?

Back

You perform multiplication and division from left to right, resulting in 6.

Front

What is the result of (6 + 2) x (3 + 2)?

Back

The result is 40.

Front

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

Back

Multiplication is performed before addition according to the order of operations.