Understanding Order of Operations and Integer Expressions

The video tutorial explains how to simplify expressions involving integers by following the order of operations. It provides two examples, demonstrating the process of simplifying within parentheses and brackets, and emphasizes the importance of performing operations in the correct sequence: exponents, multiplication/division, and addition/subtraction.

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

• Simplifying within the innermost parentheses

• Multiplying and dividing from left to right

• Performing addition and subtraction

• Evaluating exponents last

In the first example, what operation is performed after simplifying the exponent within the parentheses?

• Addition

• Subtraction

• Multiplication

• Division

When simplifying within brackets, which operation should be performed first according to the order of operations?

• Exponentiation

• Subtraction

• Addition

• Multiplication

What is the final result of the first example after all operations are completed?

• -155

• 153

• 155

• -153

Which operation is prioritized within the brackets in the first example?

• Multiplication

• Exponentiation

• Subtraction

• Addition

In the second example, what is the result of simplifying the expression within the parentheses?

• 8

• 1

• 9

• 6

What is the result of multiplying 2 by -39 in the second example?

• -39

• 39

• 78

• -78

In the second example, what is the operation performed after finding the product of -3 and 36?

• Subtraction

• Addition

• Division

• Multiplication

What is the final result of the second example after all operations are completed?

• -78

• 78

• -72

• 72

What is the result of the subtraction within the brackets in the second example?

• -39

• 39

• -36

• 36