Know About Successor and Predecessor

Successor and Predecessor

In mathematics, the phrases successor and Predecessor refer to terms directly after or before a given number. In addition, this only applies to whole numbers. Thus, after and before numbers are used to describe successors and predecessors, respectively. 

Let us look at what is predecessor and successor in detail.

  • In mathematics, the phrases successor and Predecessor relate to the numbers after or before a specific number, respectively. 
  • To validate the Successor of a given whole number, multiply it by one. Then, subtract one from the supplied number to determine the antecedent of that number.

The most often used names for series and sequences of whole numbers in mathematics are Predecessor and Successor. Before, numbers (those that appear shortly early) are known as predecessors, and after numbers are known as successors (that emerge just after).

Successor and Predecessor are terms/numbers that come immediately after or before any other term/number, respectively. In the series 1, 2, 3, for example, 1 is the precursor of 2 and 3 is the Successor of 2. In this post, we’ll look at the definitions of Successor and Predecessor, as well as examples and where to look for them. This concept can be learned descriptively by class 6 pupils from the whole chapter numbers.

The Predecessor refers to the term’s initial term, whereas the Successor relates to the future term of a term. One must add one to the supplied number to obtain the Successor of a total number. One must remove one from the number provided to discover a predecessor.

How to find a Successor?

Mathematics is heavily reliant on the concept of successors. Their use of mathematics and science is undoubtedly beneficial. Aside from that, there are two approaches to finding the Successor of any given number.

The first method involves counting down from a predetermined number and halting when the count reaches that amount. Furthermore, the individual must provide the following number. And, perhaps most significantly, this following number will be the Successor of the last number.

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Example

Find the Successor of 9. Now one must say 1,2,3,4,5,6,7,8,9, and the following number is 10. Hence, 10 is the Successor of 9.

However, this method is suitable only for small numbers.

In the second method, the Successor for the big numbers is found by adding 1 to it. This method is suitable for big numbers.

Example: The successor of 56 is 56 + 1 = 57. Therefore, 57 happens to be the Successor of 56. 

Similarly, the successor of 29 is 29 + 1 = 30, and the successor of 79 is 79 + 1 80.

How to find a Predecessor?

The phrase “predecessor” refers to the time that preceded the number in question. They indeed have substantial mathematical and scientific applications, just as their predecessors did. The most important thing to remember is that there are two techniques for detecting whether a number is preceding or before another.

In the first technique, it is necessary to mention the counting numbers. Furthermore, the person must come to a complete stop at the telephone number to locate them.

Example

Find the before number or Predecessor of 7. So, one must say 1,2,3,4,5,6,7.

Therefore, before seven, we said 6. Hence, 6 is the Predecessor of 7.

In the second method, one must subtract one from the given number. Furthermore, this method is essential to find the Predecessor of a given specific number. Most noteworthy, there is no predecessor of a whole number zero.

Example: predecessor of 13 is 13 – 1 = 12. 

Similarly, the Predecessor of 19 is 19 – 1 =18, and the Predecessor of 45 is 45 – 1= 44.

Whole Numbers

One thing to keep in mind is that Successor and Predecessor only apply to absolute numbers. This means they use numbers such as zero, one, two, three, and so forth.

They also don’t apply to negative numbers, fractions, or decimals. In addition, every whole number has to have a successor. Except zero, every actual number has a precedent.

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Solved examples on Successors and Predecessor

Predecessors

  • If x = 3, then predecessor of 3 is 3-1 = 2
  • If x = 20, then predecessor of 20 is 20-1 = 19
  • If x = 30, then predecessor of 30 is 30-1 = 29
  • If x = 60, then predecessor of 60 is 60-1 = 59
  • If x = 1000, then predecessor of 1000 is 100-1 = 999

Successors

  • If n = 15, then successor of 15 is 15 + 1 = 16
  • If n = 11, then successor of 11 is 11 + 1 = 12
  • If n = 22, then successor of 22 is 22 + 1 = 23
  • If n = 55, then successor of 55 is 55 + 1 = 56
  • If n = 97, then successor of 97 is 97 + 1 = 98

Below are some more solved examples of successors and predecessors, keeping in mind to make you perfect in this topic. Solving more examples in the related topic can turn you into more perfect.

Let’s solve some of the more examples below.

Each of the following whole numbers has a successor and a predecessor. Let us find them-

  1. 100
  2. 1119
  3. 2890
  4. 18080
  5. 45673

Solution

  1. 100

The Successor of 100 is 101

The Predecessor of 100 is 99

  1. 1119

The Successor of 1119 is 1120

The Predecessor of 1119 1118

  1. 2890

The Successor of 2890 is 2891

The Predecessor of 2890 is 2889

  1. 18080

The Successor of 18080 is 18081

The Predecessor of 18080 is 18079

  1. 45673

The Successor of 45673 is 45674

The Predecessor of 45673 is 45672

Conclusion

We’ve learned a lot about the successor and predecessor in this blog post. I hope you have a firm understanding of this idea since we have worked through several situations involving successors and predecessors. Increase the number of questions you solve and the number of tasks you practice since in Mathematics

“Practice makes a man perfect,” as the saying goes, with the hope that I have done all possible to let you understand what successors and predecessors are.

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