In Chapter 2 of RBSE Class 6 Maths, we explore the concept of Whole Numbers. This chapter introduces students to numbers that start from zero and include all natural numbers (0, 1, 2, 3, 4, …). In Exercise 2.1, we focus on basic concepts such as identifying whole numbers, performing basic operations on them, and understanding the properties of whole numbers.

Rbse Solutions for Class 6 Chapter 2: Whole Numbers

Below, we provide detailed solutions for Exercise 2.1 from Chapter 2, “Whole Numbers,” to help students gain a solid understanding of these fundamental concepts.

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

1. Write the next three natural numbers after 10999.

Solutions:

The next three natural numbers after 10999 are 11000, 11001 and 11002.

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

Solutions:

The three whole numbers occurring just before 10001 are 10000, 9999 and 9998.

3. Which is the smallest whole number?

Solutions:

The smallest whole number is 0.

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

Solutions:

The whole numbers between 32 and 53 are (33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52).

Hence, there are 20 whole numbers between 32 and 53.

5. Write the successor of:

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

Solutions:

The successors are

(a) 2440701 + 1 = 2440702

(b) 100199 + 1 = 100200

(d) 2345670 + 1 = 2345671

6. Write the predecessor of:

Solutions:

The predecessors are

(a) 94 – 1 = 93

(b) 10000 – 1 = 9999

(d) 7654321 – 1 = 7654320

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

Solutions:

(a) 530 > 503

Hence, 503 is on the left side of 530 on the number line.

(b) 370 > 307

Hence, 307 is on the left side of 370 on the number line.

Hence, 56789 is on the left side of 98765 on the number line.

(d) 9830415 < 10023001

Hence, 9830415 is on the left side of 10023001 on the number line.

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

(a) Zero is the smallest natural number.

Solution:

False

0 is not a natural number.

(b) 400 is the predecessor of 399.

Solution:

False

The predecessor of 399 is 398 since (399 – 1 = 398).

(c) Zero is the smallest whole number.

Solution:

True

Zero is the smallest whole number.

(d) 600 is the successor of 599.

Solution:

True

Since (599 + 1 = 600).

(e) All natural numbers are whole numbers.

Solution:

True

All natural numbers are whole numbers.

(f) All whole numbers are natural numbers.

Solution:

False

0 is a whole number but is not a natural number.

(g) The predecessor of a two-digit number is never a single-digit number.

Solution:

False

For example, the predecessor of 10 is 9.

(h) 1 is the smallest whole number.

Solution:

False

0 is the smallest whole number.

(i) The natural number 1 has no predecessor.

True

The predecessor of 1 is 0, but it is not a natural number.

(j) The whole number 1 has no predecessor.

Solution:

False

0 is the predecessor of 1 and is a whole number.

(k) The whole number 13 lies between 11 and 12.

Solution:

False

13 does not lie between 11 and 12.

(l) The whole number 0 has no predecessor.

Solution:

True

The predecessor of 0 is -1 and is not a whole number.

(m) The successor of a two-digit number is always a two-digit number.

Solution:

False

As the successor of 99 is 100.

Key Concepts Covered in Chapter 2: Whole Numbers

Whole Numbers: Numbers starting from zero (0, 1, 2, 3, …) are called whole numbers.
Successor and Predecessor: The successor of a number is the next number (add 1), and the predecessor is the previous number (subtract 1).
Operations on Whole Numbers: Addition and subtraction of whole numbers follow specific rules.
Properties of Whole Numbers: Commutativity, associativity, and distributivity apply to whole numbers during operations like addition and multiplication.

FAQs (Frequently Asked Questions)

1. What are whole numbers?
Whole numbers are all natural numbers including zero. They start from 0 and continue indefinitely (0, 1, 2, 3, 4, …).

2. How do you find the successor of a number?
To find the successor of a number, simply add 1 to the given number. For example, the successor of 7 is 7 + 1 = 8.

3. What is the difference between natural numbers and whole numbers?
Natural numbers start from 1 (1, 2, 3, …) whereas whole numbers start from 0 (0, 1, 2, 3, …). The only difference is that whole numbers include 0.

4. Are all whole numbers natural numbers?
No, not all whole numbers are natural numbers. Whole numbers include 0, which is not considered a natural number.

5. Can a whole number be negative?
No, whole numbers cannot be negative. Whole numbers are non-negative numbers starting from 0.

Rbse Solutions for Class 6 Chapter 2: Whole Numbers

Table of Contents

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

Key Concepts Covered in Chapter 2: Whole Numbers

FAQs (Frequently Asked Questions)

Leave a Reply Cancel reply