NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - True or False Questions
Question 27

Question. 27

All integers are whole numbers.

Answer:

false

Detailed Answer with Explanation:

Step 1: Recall the sets.

Integers:

\( \ldots, -3, -2, -1, 0, 1, 2, 3, \ldots \)

Whole numbers:

\( 0, 1, 2, 3, 4, \ldots \)

Step 2: Compare.

Whole numbers do not include negative numbers.

Step 3: Give a counterexample.

\( -1 \) is an integer.

But \( -1 \) is not a whole number.

Conclusion.

Since at least one integer (e.g., \( -1 \)) is not a whole number, the statement is false.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 3: Integers – True or False Questions | Detailed Answers