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 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

In the expression 3 + 4 x 6 - 4, which operation should be performed first?

Back

Multiplication should be performed first, according to the order of operations.

Front

What is the result of the expression 8 + 2 ⋅ 7?

Back

The result is 22.

Front

How do you simplify the expression 3(4 + 2 + 1)?

Back

First, simplify inside the parentheses: 4 + 2 + 1 = 7. Then multiply: 3 x 7 = 21.

Front

What is the result of the expression (4 x 8) - (9 + 7)?

Back

The result is 16.

Front

How can parentheses change the outcome of an expression?

Back

Parentheses indicate which operations should be performed first, potentially changing the result of the expression.

Front

Insert parentheses to make the statement 3 + 5 x 2 - 10 = 6 true.

Back

(3 + 5) x 2 - 10 = 6.

Front

What is the first step in solving an expression with multiple operations?

Back

Identify and perform any calculations inside parentheses first.

Front

What is the role of multiplication and division in the order of operations?

Back

Multiplication and division are performed from left to right after parentheses and exponents.