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To understand the concept of consecutive numbers, we need to know that the number is written immediately before a number is called its predecessor. The number that is written just next to the other number is called the successor. For instance, let us consider the list of natural numbers,1, 2, 3, 4, and 5. The predecessor of 3 is 2, and the successor of 4 is 5. Consecutive numbers follow each other in their respective groups, from the smallest to the largest in the entire number system. Consecutive numbers usually have a difference of 1 between every two successive numbers.
We all know what numbers are, even numbers. Now let us consider the set of even numbers from 4 to 18 and write them in their ascending order. The numbers are ordered as 4, 6, 8, 10, 12, 14, 16, 18 when written from the smallest to the largest numbers. We can see that the difference between any predecessor and successor pair is only 2.
Similarly, odd numbers are one less or one more than the even numbers. When we arrange them in their ascending order, we can see that the numbers are always 2. For example, take the numbers 5, 7, 9. These are called consecutive odd numbers because the difference between these given predecessor and successor pairs is only 2.
The term “integer” was derived in Mathematics from the Latin word “integer,” which means intact or complete. Integers are very much like whole numbers, but they also include negative numbers in their sets.
An integer is a number with no decimal or fractions included in its sets. They include negative and positive numbers and zero. Examples of integers are: -5, 0, 1, 5, 8, 97, and 3,06773.
A set of integers, which is represented by the capital letter Z, includes:
The fundamental properties of Integers are:
Consecutive numbers and integers are two significant and vital topics in mathematics. Although these topics are elementary and easy, students can get a deeper understanding of these topics through online classes like Cuemath online classes which help students understand the topics in detail. Cuemath will help students to strengthen their basic knowledge and will challenge them to solve complex problems.
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