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## NCERT Solutions for Class 6 Maths Chapter 2: Whole Numbers Ex 2.1

**Question 1:**

**Write the next three natural numbers after 10999.**

**Solution**:

Natural numbers are all the positive numbers without zero. So, to take out the next three numbers we will add 1 to the number.

10999 + 1 =11000

11000 +1 =11001

11001+ 1 =11002

**Question 2:**

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

**Solution**:

Whole numbers are natural numbers with 0. So, to find out the numbers which have occurred before, we will subtract 1 from the number,

10001 –1 =10000

10000 –1= 9999

9999 –1= 9998

**Question 3:**

**Which is the smallest whole number?**

**Solution 3:**

The smallest whole number is 0.

**Question 4:**

**How many whole numbers are there between 32 and 53?**

**Solution**:

Whole numbers are natural numbers with 0. So, all the numbers between 32 and 53 are whole numbers.

53 – 32- 1 =20

There are 20 whole numbers between 32 and 53.

**Question 5:**

**Write the successor of:**

**(a) 2440701**

**(b) 100199 **

**(c) 1099999**

**(d) 2345670**

**Solution**:

To find the successor of any number we add 1 to find the number.

**a** 2440701 +1 =2440702

**b** 100199+ 1= 100200

**c** 1099999+ 1= 1100000

**d** 2345670+ 1= 2345671

**Question 6:**

**Write the predecessor of:**

**(a) 94**

**(b) 10000**

**(c) 208090**

**(d) 7654321**

**Solution**:

We know that to find the predecessor of any number we will subtract 1 from that number.

**a** 94 –1= 93

**b** 10000 –1 =9999

**c** 208090 –1 =208089

**d** 7654321 –1 =7654320

**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**:

(**a**) 530 > 503;

503 appears to be on the left side of the line and 530 appears to be on the right side of the line.

(**b**) 370 > 307;

307 appears to be on the left side of the line and 370 on the right side of the line.

(**c**) 98765 > 56789;

56789 is on the left side of the line and 98765 is on the right side of the line.

(**d**) 9830415 < 10023001;

9830415 is on the left side of the line and 10023001 is on the right side of the line

**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) F

(b) F

(c) T

(d) T

(e) T

(f) F

(g) F

(h) F

(i) T

(j) F

(k) F

(l) T

(m)F

## NCERT Solutions for Class 6 Maths Chapter 2: Whole Numbers Ex 2.2

**Question 1:**

**Find the sum by suitable rearrangement:**

**(a) 837 + 208 + 363**

**(b) 1962 + 453 + 1538 + 647**

**Solution**:

**Question 2:**

**Find the product by suitable arrangement:**

**(a) 2 × 1768 × 50**

**(b) 4 × 166 × 25**

**(c) 8 × 291 × 125**

**(d) 625 × 279 × 16**

**(e) 285 × 5 × 60**

**(f) 125 × 40 × 8 × 25**

**Solution**:

**Question 3:**

**Find the value of the following:**

**(a) 297 × 17 + 297 × 3**

**(b) 54279 × 92 + 8 × 54279**

**(c) 81265 × 169 – 81265 × 69**

**(d) 3845 × 5 × 782 + 769 × 25 × 218**

**Solution**:

**Question 4:**

**Find the product using suitable properties:**

**(a) 738 × 103**

**(b) 854 × 102**

**(c) 258 × 1008**

**(d) 1005 × 168x**

**Solution**:

**Question 5:**

**A taxi-driver filled his car petrol tank with 40 litres of petrol on Monday.**

**The next day, he filled the tank with 50 litres of petrol. If the petrol costs ₹**

**44 per litre, how much did he spend in all on petrol?**

**Solution**:

On the first day he filled 40 litres and on the next day 50 litres, so

Total petrol filled in the car is 40 + 50 = 90

Price of 1 litre of petrol = ₹ 44

Thus, price of 90 litres of petrol,

The total money spent on petrol was ₹ 3960

**Question 6:**

**A vendor supplies 32 litres of milk to a hotel in a morning, and 68 litres of**

**milk in the evening. If the milk costs ₹ 15 per litre, how much money is due**

**to the vendor per day?**

**Solution**:

The milk supplied during the morning time is 32 litres and in the evening time it is 68 litres,

Total amount of milk supplied = 68 + 32 = 100

Cost of 1 litre of milk = ₹ 15.

Total cost =

₹ 1500 is due to the vendor per day.

**Question 7:**

**Match the following:**

**(i) 425 × 136 = 425 × (6 + 30 + 100) (a) Commutativity under**

**multiplication**

**(ii) 2 × 48 × 50 = 2 × 50 × 49 (b) Commutativity under**

**addition**

**(iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity multiplication**

**under addition.**

**Solution**:

(i) – (c)

(ii) – (a)

(iii) – (b)

## NCERT Solutions for Class 6 Maths Chapter 2: Whole Numbers Ex 2.3

**Solution**:

**Question 2:**

**If the product of two whole numbers is zero, can we say that one or both of**

**them will be zero? Justify through examples.**

**Solution**:

We know that, multiplying any number with 0 gives us 0, so we can say that one or both of the numbers are zero.

Example: – 99 × 0 = 0

**Question 3:**

**If the product of two whole number is 1, can we say that one or both of**

**them will be 1? Justify through examples.**

**Solution**:

We know that, multiplying any number with 1 will give the number itself so, it is only possible when both the numbers are 1.

Example: – 1 × 1 = 1, 1 × 4 = 4

**Question 4:**

**Find using distributive property:**

**(a) 728 × 101**

**(b) 5437 × 1001**

**(c) 824 × 25**

**(d) 4275 × 125**

**(e) 504 × 35**

**Solution**

**Question 5:**

**Study the pattern:**

**1 × 8 + 1 = 9;**

**12 × 8 + 2 = 98;**

**123 × 8 + 3 = 987**

**1234 × 8 + 4 = 9876;**

**12345 × 8 + 5 = 98765**

**Write the next two steps. Can you say how the pattern works?**

**Solution**:

After studying the pattern in the question, the next two steps are,

123456 x 8 + 6 = 987654

1234567 x 8 + 7 = 9876543

The pattern is:

1 x 8 + 1 = 9

12 x 8 + 2 = 98

123 x 8 + 3 = 987

1234 x 8 + 4 = 9876

12345 x 8 + 5 = 98765

123456 x 8 + 6 = 987654

1234567 x 8 + 7 = 9876543