Finding the successor and predecessor of numbers

Let’s go back to the days of elementary school when your teachers first introduced you to the concepts of counting and backward counting. Remember? While you were learning to count, your instructor taught you a method to discover the number that came after the previous number.

When you were learning to count backward, your teacher taught you a strategy to find the number before the previous number.

Read: Most effective tips to Prepare for Class 10th Maths Olympiad

We can see that every whole number has a corresponding successor of a Whole Number.

An introduction

In mathematics, the terms “successor” and “predecessor” refer to that they occur immediately after or before the specific number, respectively. Both successor and predecessor were essentially only applicable to full numbers in their respective cases.

The phrase “after numbers” is used when referring to a successor, while “before numbers” refers to the predecessor.

In mathematics, the phrase “successor” refers to the number given after the end of a given term, while the term “predecessor” refers to the number before the end of a certain term. You may find a whole number by adding one to the specifications supplied number, but you can also find a whole number by subtracting one from a given number. Among other things, we will look at what the terms successor and predecessor imply, what the terms successor and predecessor mean, how to discover the successor of a given number and how to find the predecessor of a given number.

Meaning of Successor

Successors play an essential role in mathematics. They unquestionably have substantial applications in the fields of mathematics and scientific research.

In mathematics, a successor is a number that follows another number or comes after the provided number. In other words, the next number is one more than the preceding number. For instance,

The successor of 24 = 24 + 1 = 25

The successor of 101 = 101 + 1 = 102

The successor of 46 = 46 + 1 = 47

Meaning of Predecessor

In mathematics, the term “predecessor” refers to a number that precedes another or occurs before the given number. In other words, the preceding number is one less than the subsequent number. For instance,

The Predecessor of 20 = 20 – 1 = 19

The Predecessor of 200 = 200 – 1 = 199

The Predecessor of 44= 44 – 1 = 43

Meaning of whole numbers

The whole number is a part of a number system that contains all of the positive integers, i.e., all the numbers from 0 to infinity. Real numbers are numbers that can be drawn on a number line, so they are sometimes referred to as such. So, all whole numbers may be treated as real numbers, but not all real numbers are considered as whole numbers, as we can see in the example above.

W represents the whole numbers, while the set of whole numbers is represented by the letter ‘W’.

0,1,2,3,4,5,6,7,8,9…  The whole numbers encompass all positive numbers up to, and including zero; however, they do not incorporate fractions or decimals numbers in their calculations.

Whole numbers make it simple to carry out mathematical operations such as addition, subtraction, multiplication, and division, amongst other things.

Finding the Successor and Predecessor of a Number is a difficult task! Not anymore

In mathematics, the concepts of Successor and Predecessor are crucial to address. It is common to see them in the fields of mathematics and physics. The techniques for determining the successor and predecessor of a given number are covered in the next section.

  • Let’s start with a discussion of the procedure for determining the successor of a given integer.

The successor of a given number may be discovered by one to the given number. Examples include the successor of 0 being 1, the successor of 10 being 11, the successor of 2 being 3, etc.

  • Let us now look at the procedure for determining the number that came before a particular number.

A given number’s predecessor may be determined by subtracting one from the provided number. For example, the predecessor of 10 is 9, the successor of 21 is 20, the successor of 3 is 2, and so on. Similarly, the successor of 100 is 99. The lone complete number, which is zero, does not have a preceding number.

We can see that every whole number, with the exception of zero, has a predecessor.

Note: 

One key issue is that the successor and predecessor functions are applied only to whole integers, which should be clarified. It suggests that they may be applied to other numbers, such as zero, one, two, and so on.

The terms Successor and Predecessor do not apply to fractions, decimals, or negative numbers, nor do they apply to negative numbers. As a result, every whole number has a successor, and every whole number, with the exception of zero, has a predecessor.

Relationship between successor and predecessor

It is the terms succeed and precede that are referred to as successor and predecessor, respectively. If a number comes after the supplied numbers, it is known as a successor; if it comes before the specified numbers, it is known as a predecessor.

Examples include 11 as the successor of 10 while 9 as the predecessor of 10. As a result, we may state that the number that comes before the provided number is referred to as the number that came before that number.

Additionally, the number that follows after the provided number is referred to as the number after the given number.

Conclusion

As a result of reading this article, we now understand what the terms predecessor and successor mean. We also learned how to identify the number that is the predecessor and successor of a given number.

Read: How to prepare for class 10 math Olympiad

Even with higher numbers, we could apply the principle of locating the predecessor and successor to them. The phrase “predecessor” refers to the term that came before a certain term, while “successor” refers to the term that came after that term. To locate a predecessor, you must subtract one from the specific number that has been supplied. You must add one to the number provided to discover the whole number that is the successor of the given whole number.

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Daniel Johnhttps://firmwarefile.co
An Astrophile, a technophile, and an Android Fan.

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