NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - True or False Questions
Question 70

Question. 70

There is a natural number which when added to a natural number, gives the number itself.

false

Step 1: In this book, natural numbers are 1, 2, 3, ... (that is, \(0\) is not counted as a natural number).

Step 2: We are looking for a natural number \(k\) such that adding it does not change any number.

That means: \(n + k = n\) for natural numbers \(n\).

Step 3: Try \(n = 1\).

Then: \(1 + k = 1\).

So: \(k = 0\).

Step 4: But \(0\) is not a natural number here.

Conclusion: There is no natural number with this property. So the statement is false.