# Is there any natural number that has no predecessor? If there is one, please find out.

Last updated date: 25th Mar 2023

•

Total views: 308.7k

•

Views today: 8.85k

Answer

Verified

308.7k+ views

Hint:- No predecessor means that number is not a natural number . So, we had to find the number which is the first natural number.

As we know that the predecessor of a number is one less than a number.

And the successor of a number is one more than the given number.

As we know that natural numbers are the sets of numbers starting from 1 and goes on till infinity.

Natural numbers are {1, 2, 3, 4, ………………}

And if the given number is a natural number then its predecessor and successor will also be a natural number.

So, here we had to find the number that has no predecessor.

As we know that 1 is the first natural number.

So, it will not have a predecessor.

Because the predecessor of any number x is x – 1.

And 1 – 1 = 0, which is not a natural number.

Hence, 1 will be a number that has no predecessor.

Note:- Whenever we came up with this type of problem where we are asked to find a predecessor or successor of a number then we should remember that the predecessor of a number is one less than the given number and the successor of a number is one more than the given number.

As we know that the predecessor of a number is one less than a number.

And the successor of a number is one more than the given number.

As we know that natural numbers are the sets of numbers starting from 1 and goes on till infinity.

Natural numbers are {1, 2, 3, 4, ………………}

And if the given number is a natural number then its predecessor and successor will also be a natural number.

So, here we had to find the number that has no predecessor.

As we know that 1 is the first natural number.

So, it will not have a predecessor.

Because the predecessor of any number x is x – 1.

And 1 – 1 = 0, which is not a natural number.

Hence, 1 will be a number that has no predecessor.

Note:- Whenever we came up with this type of problem where we are asked to find a predecessor or successor of a number then we should remember that the predecessor of a number is one less than the given number and the successor of a number is one more than the given number.

Recently Updated Pages

If ab and c are unit vectors then left ab2 right+bc2+ca2 class 12 maths JEE_Main

A rod AB of length 4 units moves horizontally when class 11 maths JEE_Main

Evaluate the value of intlimits0pi cos 3xdx A 0 B 1 class 12 maths JEE_Main

Which of the following is correct 1 nleft S cup T right class 10 maths JEE_Main

What is the area of the triangle with vertices Aleft class 11 maths JEE_Main

The coordinates of the points A and B are a0 and a0 class 11 maths JEE_Main

Trending doubts

What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?