Order of Operations and Mistakes

The video tutorial explains how to evaluate mathematical expressions using the order of operations. It highlights common mistakes students make and demonstrates the correct steps to solve expressions. The tutorial covers simplifying within parentheses, handling exponents, and performing multiplication, division, addition, and subtraction in the correct order. Two examples are provided, showing how to identify and correct errors in expression evaluation, ultimately leading to the correct solution.

What is the first step in the order of operations?

• Add and subtract from left to right

• Multiply and divide from left to right

• Simplify within the innermost parenthesis

• Simplify expressions with exponents

In the first example, what mistake did the student make?

• Subtracted before adding

• Added before multiplying

• Multiplied before dividing

• Divided before multiplying

What is the correct product of five and three in the first example?

• 12

• 15

• 18

• 9

What is the final correct value of the first expression?

• 37

• 25

• 30

• 20

What is the result of dividing 27 by 3 in the first example?

• 7

• 6

• 8

• 9

In the second example, what mistake did the student make?

• Multiplied before adding

• Divided before subtracting

• Subtracted before dividing

• Added before multiplying

What is the correct product of three and twelve in the second example?

• 42

• 30

• 24

• 36

What is the final correct value of the second expression?

• 48

• 42

• 72

• 36

Which operation should be performed first when simplifying inside brackets?

• Multiplication

• Subtraction

• Addition

• Division

What is the sum of six and thirty-six in the second example?

• 48

• 42

• 40

• 44