NCERT Class 6 Solutions: Whole Numbers (Chapter 2) Exercise 2.1–Part 3

Q-8 which of the following statement are true (T) and which are false (F):

  1. Zero is the smallest natural number.

  2. 400 is the predecessor of 399.

  3. Zero is the smallest whole number.

  4. 600 is the successor of 599.

  5. All natural numbers are whole numbers.

  6. All whole numbers are natural numbers.

  7. The predecessor of a two digit number is never a single digit number.

  8. 1 is the smallest whole number.

  9. The natural number 1 has no predecessor.

  10. The whole number 1 has no predecessor.

  11. The whole number 13 lies between 11 and 12.

  12. The whole number 0 has no predecessor.

  13. The successor of a two digit number is always a two digit number.

Solution:

  1. Zero is the smallest natural number.

    • False, zero is not a natural number

    • It is a whole number.

      Number line dipicting natural numbers and whole numbers

      Natural Numbers & Whole Numbers on Number Line

      Number line dipicting natural numbers and whole numbers

  2. 400 is the predecessor of 399.

    • False, 400 is the successor of 399

      Successor of 399 to find if the statement is true or false

      Successor of 399

      Successor of 399 to find if the statement is true or false

  3. Zero is the smallest whole number.

    • True

      Whole numbers with zero as the samllest whole number

      Definition of Whole Numbers

      Whole numbers with zero as the samllest whole number

  4. 600 is the successor of 599.

    • True

    Successor of 599 is 600

    Successor of 599

    Successor of 599 is 600

  5. All natural numbers are whole numbers.

    • True

      Venn diagram of number types

      Types of Numbers and Their Relation on Venn Diagram

      Venn diagram of number types

  6. All whole numbers are natural numbers.

    • False

    • Every whole number expect 0 but is not a natural number

  7. The predecessor of a two digit number is never a single digit number.

    • False

    • The predecessor of 10 is 9. Similarly 99 (2 digit number) is predecessor of 100 (3 digit number)

      Given the predecessor of 10 is 9 and it is decressor a single digit number

      Given the Predecessor of 10

      Given the predecessor of 10 is 9 and it is decressor a single digit number

  8. 1 is the smallest whole number.

    • False

    • Zero is the smallest whole number

  9. The natural number 1 has no predecessor.

    • True

    • Because natural numbers start from 1 (1, 2, 3, 4 ….). Number zero is not included in the set of natural numbers.

  10. The whole number 1 has no predecessor.

    • False

    • Zero is a predecessor of 1 in the set of whole numbers.

  11. The whole number 13 lies between 11 and 12.

    • False

    • Because 13 is the successor of 12 and 11 is predecessor of 12, therefore 13 cannot be between 11 and 12.

  12. The whole number 0 has no predecessor.

    • True

    • The set of whole numbers start from zero (0, 1, 2, 3, …)

  13. The successor of a two digit number is always a two digit number.

  • False

  • It can be a three-digit number, for example, 100 is the successor of 99. 100 is a three digit number. Similarly 1000 is successor of 999 and 10 is successor of 9.

    Given the successor of 99 is 100 so the successor of two digit number is some times three digits numbers

    Given the Successor of 99

    Given the successor of 99 is 100 so the successor of two digit number is some times three digits numbers

Explore Solutions for Mathematics

Sign In