Order of Operations and Simplification

The video tutorial explains how to evaluate a mathematical expression using the order of operations. It begins by simplifying the innermost parentheses, performing multiplication before subtraction. The expression is further simplified by addressing the brackets, again prioritizing multiplication over addition. The final result is verified using a calculator, confirming the expression simplifies to positive 20.

What is the first step in evaluating an expression using the order of operations?

• Perform all subtractions first

• Simplify within the outermost brackets

• Simplify within the innermost parentheses

• Perform all additions first

When simplifying the expression, what operation should be performed first within the parentheses?

• Division

• Multiplication

• Subtraction

• Addition

How is subtracting a negative number equivalent in terms of addition?

• It is equivalent to subtracting a positive number

• It is equivalent to adding a negative number

• It is equivalent to adding a positive number

• It is equivalent to subtracting zero

What is the result of adding negative 10 and positive 6?

• Negative 16

• Positive 16

• Negative 4

• Positive 4

After simplifying within the innermost parentheses, what is the next step?

• Perform all subtractions

• Simplify within the outermost parentheses

• Perform all additions

• Simplify within the brackets

What is the product of negative three and negative four?

• Negative 12

• Positive 12

• Negative 7

• Positive 7

What is the sum of negative seven and positive twelve?

• Positive 19

• Negative 5

• Positive 5

• Negative 19

What is the final simplified result of the expression?

• 10

• 15

• 20

• 25

What should be used instead of brackets when entering the expression into a calculator?

• Square brackets

• Parentheses

• Curly braces

• Angle brackets

What is the final result when the expression is verified using a calculator?

• Positive 15

• Positive 20

• Positive 25

• Positive 10