Order of Operations and Parentheses

The video tutorial explains how to evaluate a mathematical expression using the order of operations. It begins by identifying the innermost grouping symbols, such as parentheses and brackets, and simplifies the expression step by step. The process involves performing multiplication and division before addition and subtraction. The tutorial demonstrates simplifying within parentheses first, followed by brackets, and concludes by verifying the result using a calculator. The final expression simplifies to 156, confirming the correct evaluation.

What is the first step in the order of operations when simplifying an expression?

• Evaluate exponents

• Simplify within the innermost parentheses

• Multiply and divide from left to right

• Add and subtract from left to right

Which operation should be performed first within the innermost parentheses?

• Addition

• Division

• Multiplication

• Subtraction

What is the result of the multiplication within the innermost parentheses?

• 32

• 18

• 24

• 40

After performing multiplication, what is the next operation within the innermost parentheses?

• Exponentiation

• Division

• Subtraction

• Addition

What is the result of the subtraction within the innermost parentheses?

• 18

• 14

• 16

• 12

What operation is performed first within the brackets?

• Subtraction

• Addition

• Multiplication

• Division

What is the result of multiplying two and sixteen within the brackets?

• 34

• 32

• 30

• 28

What is the sum of seven and thirty-two within the brackets?

• 40

• 39

• 38

• 37

What is the final result of the expression after all operations?

• 156

• 155

• 157

• 154

What is the main difference when entering the expression into a calculator?

• Use brackets instead of parentheses

• Use parentheses instead of brackets

• Use square brackets instead of curly brackets

• Use curly brackets instead of square brackets