Class 6 Maths Chapter 2 Exercise 2.1 Whole Numbers

In this chapter, we will solve questions related to whole numbers. These exercises will help you understand natural numbers, whole numbers, and their properties. You will learn to identify the next numbers in a sequence, understand the concepts of predecessors and successors, and compare the positions of numbers on a number line. You will also find true or false questions that test your understanding of the characteristics of whole and natural numbers.

These questions are a perfect mix of basic arithmetic and logical reasoning. It will help strengthen your foundational knowledge of mathematics. Let’s dive into these exercises and discover the fascinating aspects of whole numbers!

NCERT Solutions for Class 6 Maths Exercise 2.1 Chapter 2 Whole Numbers

Question 1. Write the next three natural numbers after 10999.

Solution
Natural numbers are the set of positive integers starting from 1. To find the next three natural numbers after 10999, we sequentially add 1 to 10999.

The first natural number after 10999 is 10999 + 1 = 11000.
Continuing this pattern, the second natural number after 10999 is 11000 + 1 = 11001.
The third natural number after 10999 is 11001 + 1 = 11002.
So, the next three natural numbers after 10999 are 11000, 11001, and 11002.

Question 2. Write the three whole numbers occurring just before 10001.

Solution
Whole numbers include all natural numbers along with zero. The three whole numbers just before 10001 can be found by subtracting 1 successively from 10001.

The first whole number before 10001 is 10001 – 1 = 10000.
Continuing the pattern, the second whole number before 10001 is 10000 – 1 = 9999.
The third whole number before 10001 is 9999 – 1 = 9998.
Thus, the three whole numbers just before 10001 are 10000, 9999, and 9998.

Question 3. Which is the smallest whole number?

Solution
The set of whole numbers starts from zero and includes all natural numbers.
Zero is the starting point and the least value in this set
The smallest whole number is 0.

Question 4. How many whole numbers are there between 32 and 53?

Solution
To find the count of whole numbers between two numbers, we subtract the smaller number from the larger number and then subtract 1. We are doing this because we are not including the end numbers.
The whole numbers between 32 and 53 are from 33 to 52.

Counting these numbers gives us 52 – 32 = 20.
However, since we exclude the number 32 itself, we subtract 1, resulting in 20 – 1 = 19.
Therefore, there are 19 whole numbers between 32 and 53.

Question 5. Write the successor of :

(a) 2440701 (b) 100199 (c) 1099999 (d) 2345670

Solution
The successor of a number is the number that comes immediately after it in the sequence of natural numbers. This is found by adding 1 to the given number.

(a) The successor of 2440701 is 2440701 + 1 = 2440702.
(b) The successor of 100199 is 100199 + 1 = 100200.
(c) The successor of 1099999 is 1099999 + 1 = 1100000.
(d) The successor of 2345670 is 2345670 + 1 = 2345671.

These successors are simply the next numbers in the natural number sequence following the given numbers.

Question 6. Write the predecessor of :

(a) 94 (b) 10000 (c) 208090 (d) 7654321

Solution
The predecessor of a number is the number that comes immediately before it in the sequence of natural numbers. This is found by subtracting 1 from the given number.

(a) The predecessor of 94 is 94 – 1 = 93.
(b) The predecessor of 10000 is 10000 – 1 = 9999.
(c) The predecessor of 208090 is 208090 – 1 = 208089.
(d) The predecessor of 7654321 is 7654321 – 1 = 7654320.

These predecessors are simply the numbers immediately preceding the given numbers in the natural number sequence.

Question 7. In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with the appropriate sign (>, <) between them.

(a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 9830415, 10023001

Solution
On a number line, smaller numbers are to the left of larger numbers.

(a) 530, 503 → 530 > 503
(b) 370, 307 → 370 > 307
(c) 98765, 56789 → 98765 > 56789
(d) 9830415, 10023001 → 9830415 < 10023001

Question 8. Which of the following statements are true (T) and which are false (F) ?

(a) Zero is the smallest natural number. (b) 400 is the predecessor of 399.
(c) Zero is the smallest whole number. (d) 600 is the successor of 599.
(e) All natural numbers are whole numbers.
(f ) All whole numbers are natural numbers.
(g) The predecessor of a two digit number is never a single digit number.
(h) 1 is the smallest whole number.
(i) The natural number 1 has no predecessor.
(j) The whole number 1 has no predecessor.
(k) The whole number 13 lies between 11 and 12.
(l ) The whole number 0 has no predecessor.
(m) The successor of a two digit number is always a two digit number.

Solution
(a) False (F) – Zero is not a natural number; 1 is the smallest natural number.
(b) False (F) – 399 is the predecessor of 400.
(c) True (T) – Zero is the smallest whole number.
(d) True (T) – 600 is the successor of 599.
(e) True (T) – All natural numbers (starting from 1) are whole numbers.
(f) False (F) – Whole numbers include zero, which is not a natural number.
(g) False (F) – The predecessor of a two-digit number like 10 is 9, a single-digit number.
(h) False (F) – 0 is the smallest whole number, not 1.
(i) True (T) – The natural number 1 has no predecessor in the set of natural numbers.
(j) False (F) – The whole number 1 has a predecessor, which is 0.
(k) False (F) – The whole number 13 does not lie between 11 and 12.
(l) True (T) – The whole number 0 has no predecessor in the set of whole numbers.
(m) False (F) – The successor of a two-digit number like 99 is 100, a three-digit number.

Additional Worksheet Questions for Exercise 2.1 Whole Numbers for Class 6

1. Write the next three whole numbers before 5000.
2. How many whole numbers are there between 100 and 150?
3. Write the predecessor of: (a) 4001 (b) 76500 (c) 123456 (d) 9999
4. Is 0 the successor of any whole number? Explain your answer.
5. If the number 50000 lies to the right of 49999 on a number line, what symbol correctly represents their relationship? (>, <, =)
6. Write the successor of: (a) 30987 (b) 899999 (c) 2050607 (d) 111111
7. State whether the following statements are True (T) or False (F): (a) The smallest natural number is 0. (b) The whole number 200 has a predecessor. (c) The number 1 is the predecessor of 2 in natural numbers. (d) The largest two-digit number is the successor of 98. (e) The number 0 is to the right of 1 on a number line.
8. What is the smallest two-digit whole number?
9. In the pair of numbers 25746 and 25745, which one is to the right on the number line?
10. If a natural number n is added to its successor, what is the sum?

Answers

1. The three whole numbers before 5000 are 4999, 4998, 4997.
2. There are 49 whole numbers between 100 and 150.
3. The predecessors are: (a) 4000 (b) 76499 (c) 123455 (d) 9998
4. No, 0 is not the successor of any whole number because there is no whole number that comes before 0.
5. 50000 > 49999.
6. The successors are: (a) 30988 (b) 900000 (c) 2050608 (d) 111112
7. (a) False (F) (b) True (T) (c) True (T) (d) True (T) (e) False (F)
8. The smallest two-digit whole number is 10.
9. 25746 is to the right on the number line.
10. The sum of a natural number n and its successor is 2n + 1.