Order of Operations and Negative Numbers

The video tutorial covers the order of operations, known as PEMDAS, and applies it to solve mathematical expressions. It begins with a review of the basic rules, focusing on parentheses, exponents, multiplication, division, addition, and subtraction. The tutorial then provides examples using positive numbers, followed by more complex problems involving integers, including both positive and negative numbers. The video concludes with solving complex expressions, emphasizing the importance of following the correct order to achieve accurate results.

What is the first step in the order of operations?

• Exponents

• Addition

• Parentheses

• Multiplication

In the expression 18 + 12 ÷ 4, which operation should be performed first?

• Subtraction

• Division

• Addition

• Multiplication

How do you handle operations when both addition and subtraction are present?

• Go from left to right

• Perform subtraction first

• Ignore subtraction

• Perform addition first

What is the result of -4 - 15 + 18?

• -1

• 1

• -19

• 19

When multiplying a negative number by a positive number, the result is:

• Zero

• Negative

• Positive

• Undefined

What is the result of -72 ÷ -3 × -4?

• 96

• -24

• 24

• -96

In the expression 20 - (-2)^3 × 6, what should be calculated first?

• 20 - 6

• 6 × (-2)^3

• (-2)^3

• 20 - (-2)

What is the result of 2 - 5^3 - 8 × 6?

• -27

• -75

• 75

• 27

How do you simplify -4^2 ÷ 2 × 1 - 7?

• -16

• 48

• 16

• -48

What is the result of dividing -16 by -16?

• -1

• 1

• 0

• 16