CBSE Class 6 Mathematics Whole Numbers Assignment Set 05

Question 1. Are all natural numbers also whole numbers?
Answer: Yes, every natural number is also a whole number. Whole numbers include 0 along with all the natural counting numbers.
In simple words: Yes. Counting numbers start from 1, and whole numbers include all of them.
Exam Tip: Always recall that natural numbers are \( 1, 2, 3, \dots \) while whole numbers are \( 0, 1, 2, 3, \dots \).

Question 2. Are all whole numbers also natural numbers?
Answer: No, not all whole numbers are natural numbers. The number 0 is a whole number, but it is not a natural number.
In simple words: No. Zero is a whole number, but we do not use it as a counting number.

Exam Tip: Use 0 as the counterexample to explain why all whole numbers are not natural numbers.

Question 3. Is every whole number has a sucessor?
Answer: Yes, each whole number has a successor. Adding 1 to any given whole number always gives the next whole number.
In simple words: Yes. You can always add 1 to get the next number.

Exam Tip: Successor means the number that comes immediately next, obtained by adding 1.

Question 4. Is every whole number has a predecessor?
Answer: No, not every whole number has a predecessor. The number 0 is the smallest whole number, so it has no whole number before it.
In simple words: No. Zero does not have any whole number coming before it.

Exam Tip: Zero has no predecessor within the set of whole numbers.

Question 5. Is there any natural number that has no predecessor?
Answer: Yes, 1 is the natural number that has no predecessor. Natural numbers start at 1, so no natural number comes before it.
In simple words: Yes, 1 has no natural number before it because counting starts at 1.

Exam Tip: Clearly write "Yes, 1" to get full marks on this question.

Question 6. Is there any natural number which has no successor?
Answer: No, there is no natural number without a successor. You can always add 1 to any natural number to find the next one.
In simple words: No. Counting never stops, so every number always has a next number.

Exam Tip: Remember that the set of natural numbers is infinite, so every number has a successor.

Question 7. Do you find any last whole number?
Answer: No, there is no last whole number. Whole numbers continue without end because you can always add 1 to get a bigger number.
In simple words: No. Whole numbers go on forever, so there is no biggest one.

Exam Tip: State that whole numbers are endless or infinite, meaning there is no largest whole number.

Question 8. What is the least whole number?
Answer: Zero is the smallest whole number. The collection of whole numbers begins with 0.
In simple words: Zero is the very first and smallest whole number.

Exam Tip: Do not confuse the least natural number (1) with the least whole number (0).

Question 9. In the set of whole number write the sucessor and predecessor of one.
Answer: In the set of whole numbers, the successor of 1 is 2, and the predecessor of 1 is 0.
In simple words: The number after 1 is 2, and the number before 1 is 0.

Exam Tip: Show the calculations \( 1 + 1 = 2 \) for successor and \( 1 - 1 = 0 \) for predecessor.

Question 10. Is there any whole number which does not lie between any two whole numbers?
Answer: Yes, 0 is the whole number that does not lie between two whole numbers. Since 0 is the first whole number, it has no whole number to its left.
In simple words: Yes, zero does not sit between two whole numbers because it is the very first one.

Exam Tip: Zero is the leftmost number on the whole-number line, so it cannot lie between two whole numbers.