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

Tags

CCSS.7.NS.A.1D

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

• 10 - 6

• -4

• -10 - 6

• -10 + 6

Tags

CCSS.7.NS.A.2C

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

• Distributive Property

• Commutative Property

• Associative Property

• Identity Property

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.6.EE.A.4

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

• -11A + 10A

• -10A + 11A

• 10A - 11A

• 11A - 10A

Tags

CCSS.6.EE.A.4