Test Your Integer Knowledge

Introduction to Integers and their Properties

• Integers are whole numbers that include zero, positive natural numbers, and negative natural numbers.
• Integers are denoted by the letter Z and can be represented on a number line.
• Adding a positive integer moves to the right on the number line, while adding a negative integer moves to the left.
• Subtracting a positive integer moves to the left, while subtracting a negative integer moves to the right.
• The additive inverse of a number is the number that when added to it gives a sum of zero.
• Integers are closed under addition and subtraction, meaning that the result of adding or subtracting any two integers will always be an integer.
• Addition is commutative for integers, meaning that changing the order of the integers being added does not affect the result.
• Subtraction is not commutative for integers, meaning that changing the order of the integers being subtracted affects the result.
• Addition is associative for integers, meaning that changing the grouping of integers being added does not affect the result.
• Zero is the additive identity for integers, meaning that adding zero to any integer results in the same integer.
• Multiplication of integers is closed, commutative, and associative.
• Division of integers can be performed by dividing as a whole number and then placing a negative sign before the result for negative integers divided by positive integers, and a positive sign before the result for negative integers divided by negative integers.