Math, asked by vemulasimha2009, 9 months ago

How can you justify the statement that there doesn't exist the largest natural number or whole number​

Answers

Answered by vanshikaverma7
2

Answer:

No matter how big a number you can imagine, we can write a representation for the number. Then we can add 1 to it to get another number. That is the reason that it is not possible to have a largest natural number.

Step-by-step explanation:

FOR Justifying the given number let's assume that there is a largest Natural or whole number which is x

Now we know that we can add or subtract or multiply or divide any WHOLE number or NATURAL

So let's add 1 to the largest Natural or whole number which is x as Natural numbers(N) or whole numbers(W) follow closed property under addition, i.e IF a,b are N or W then a + b = c where c is also a N or W

∴x + 1

∵x+1 > x

∴The new largest N or W is x+1

Now we can repeat this process endlessly, which means that the largest N or W doesn't exist

HENCE PROVED...

HOPE IT HELPS...!!!

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