Integers
Integers are numbers that do not contain decimals or fractions. Hence, numbers such as …-3, -2, -1, 0, 1, 2, and 3 … are integers. Students are sometimes unsure about the number 0 being an integer.
Zero is a neutral (Neither negative nor Positive) integer.
Odd Integer
All the integers not perfectily divided by 2 are odd integers (numbers).
The sequence of integers consists of Odd integers (commonly called odd numbers) such as -3, -1, 1, 3, 5…
Properties of Odd Integers
- The difference between two consecutive odd numbers is 2.
- If x is an odd number then next odd number is x + 2. Next to x + 2 is x + 4.
- The sum of two odd integers is an even integer.
- The Product of two odd integers is an odd integer.
- Division of an odd integer by another odd integer may not be an integer (5 ÷ 3 is not an integer).
Even Numbers
All the integers perfectly divided by 2 are Even integers (Numbers)
Even integers (commonly called even numbers) such as -4, -2, 0, 2, 4…
Properties of Even Integers
- The difference between two even numbers is 2.
- If x is an even number then next even number is x + 2. Next to x + 2 is x + 4.
- The sum of even integers is an even integer.
- Product of two even integers is an even integer.
- Division of an even integer by another even integer may not be an even integer (6 ÷ 2 is not an even integer).