NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - True or False Questions
Question 55

Question. 55

Successor of a one digit number is always a one digit number.

Answer:

false

Detailed Answer with Explanation:

Step 1: What is a successor?

The successor of a number is the number that comes just after it.

To find the successor, we add 1.

Step 2: One-digit numbers

Examples of one-digit numbers are 0, 1, 2, ..., 9.

Step 3: Try a counterexample

Take the largest one-digit number: 9.

Add 1 to get its successor:

\(9 + 1 = 10\)

The number 10 has two digits.

Step 4: Conclusion

Because at least one one-digit number (9) has a successor (10) that is not one-digit,

the statement is false.

Note: Some one-digit numbers like 3 have one-digit successors (\(3 + 1 = 4\)).

But the word “always” makes the statement wrong, since 9 is a counterexample.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – True or False Questions | Detailed Answers