Properties of Addition and Subtraction of Integers

The video tutorial explores various properties of addition and subtraction, focusing on integers. It begins with the closure property, explaining that the sum or difference of integers results in an integer. The commutative property is discussed, highlighting that it applies to addition but not subtraction. The associative property is examined, showing it holds for addition but not subtraction. Finally, the concept of additive identity is introduced, demonstrating that adding zero to an integer results in the same integer.

What is the result when you add two integers together?

• An integer

• A decimal

• A fraction

• A whole number

Which property states that the sum of two numbers is the same regardless of their order?

• Distributive Property

• Commutative Property

• Closure Property

• Associative Property

Does the commutative property apply to subtraction?

• Only for positive integers

• No, never

• Only for negative integers

• Yes, always

What does the associative property of addition state?

• The sum is the same regardless of how numbers are grouped

• The sum is the same regardless of the order of numbers

• The sum is always an integer

• The sum is always a whole number

Does the associative property apply to subtraction?

• Only for negative integers

• Yes, always

• Only for positive integers

• No, never

What is the result of adding zero to any integer?

• A positive integer

• A negative integer

• Zero

• The integer itself

What is the additive identity for integers?

• 10

• 1

• 0

• -1