How to simplify an expression using PEMDAS with Brackets

The video tutorial explains how to evaluate mathematical expressions using the order of operations, often remembered by the acronym PEMDAS (Please Excuse My Dear Aunt Sally). It emphasizes the importance of performing operations inside parentheses first, followed by exponents, and then multiplication and division from left to right. Addition and subtraction are also performed from left to right. The tutorial includes a step-by-step example problem to illustrate these concepts and concludes with reminders about the reverse order of operations used in solving equations.

What is the correct order of operations according to the acronym 'Please Excuse My Dear Aunt Sally'?

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Exponents, Parentheses, Multiplication, Division, Addition, Subtraction

• Multiplication, Division, Addition, Subtraction, Parentheses, Exponents

• Parentheses, Multiplication, Exponents, Division, Addition, Subtraction

When evaluating an expression, what should you do first?

• Multiply before solving any parentheses

• Solve the innermost parentheses first

• Add and subtract from right to left

• Multiply and divide from right to left

In the expression 4 x (30 - (10 - 2) x 3), which operation should be performed first?

• 8 x 3

• 10 - 2

• 4 x 30

• 30 - 10

Why is it important to follow the order of operations when evaluating expressions?

• To guarantee the correct result is obtained

• To ensure the expression is solved in the fastest way possible

• To make the expression look simpler

• To avoid using parentheses

What is the main difference between evaluating expressions and solving equations?

• Evaluating expressions uses reverse order of operations

• Solving equations does not require any order

• Solving equations uses reverse order of operations

• Both use the same order of operations