Understanding Properties of Arithmetic with Negative Numbers

The video tutorial explores the application of arithmetic properties—distributive, associative, and commutative—to negative numbers. Through various examples, it demonstrates how these properties hold true for negative numbers and variables, emphasizing the importance of understanding these concepts in arithmetic operations.

Which property allows you to change the grouping of numbers in an expression without changing the result?

• Commutative Property

• Identity Property

• Associative Property

• Distributive Property

What is the result of applying the distributive property to the expression -2(5 - 3)?

• 10 - 6

• -4

• -10 - 6

• -10 + 6

In the expression -S * T * S, which property allows you to rearrange the terms?

• Distributive Property

• Commutative Property

• Associative Property

• Identity Property

What is the simplified form of the expression -X(-Y * X) using the associative property?

• X^2 * Y

• -X^2 * Y

• X * Y

• -X * Y

Which of the following expressions is equivalent to A(-10 + 11)?

• -11A + 10A

• -10A + 11A

• 10A - 11A

• 11A - 10A