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

Front

What is the first step in solving the expression 5 x (6 - 3)?

Back

The first step is to solve the expression inside the parentheses: (6 - 3) = 3.

Front

How do you handle multiplication and division in the Order of Operations?

Back

Multiplication and division are performed from left to right as they appear in the expression.

Front

What is the result of the expression 16 ÷ 2 x 4 - 3?

Back

The result is 29. First, perform the division (16 ÷ 2 = 8), then multiplication (8 x 4 = 32), and finally subtraction (32 - 3 = 29).

Front

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

Back

The first operation to perform is multiplication: 4 x 6.

Front

What is the result of the expression 18 - 4 x 2?

Back

The result is 10. First, perform the multiplication (4 x 2 = 8), then subtraction (18 - 8 = 10).

Front

How do you simplify the expression 24 x (4 - 2) ÷ 6?

Back

First, solve the parentheses: (4 - 2) = 2. Then, perform the multiplication: 24 x 2 = 48, and finally divide: 48 ÷ 6 = 8.

Front

Why is it important to follow the Order of Operations?

Back

Following the Order of Operations is crucial to ensure that mathematical expressions are evaluated correctly and consistently, leading to the correct answer.

Front

What is the role of parentheses in the Order of Operations?

Back

Parentheses indicate that the operations inside them should be performed first before any other operations.