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 common acronym used to remember this order 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: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Front

In the expression 8 + 5 × 4 + (7 - 3), which operation should be performed first?

Back

The operation inside the parentheses (7 - 3) should be performed first.

Front

True or False: Multiplication should always be performed before addition in an expression.

Back

True. According to the Order of Operations, multiplication is performed before addition.

Front

What is the result of the expression (82 ÷ 2) × 3 – 17?

Back

The result is 106.

Front

How do you simplify the expression 2 + (9² - 4)?

Back

First, calculate 9² which is 81, then subtract 4 to get 77, and finally add 2 to get 79.

Front

In the expression 91 + 27 ÷ (72 ÷ 24), what operation is performed first?

Back

The operation inside the parentheses (72 ÷ 24) is performed first.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first, helping to clarify the order of calculations.

Front

What is the result of the expression 8 + 5 × 4 + (7 - 3)?

Back

The result is 32.

Front

Explain why addition does not always come before subtraction.

Back

Addition and subtraction are performed from left to right based on their position in the expression, not strictly in the order of the operations.