1

Write the next three natural numbers after 10999.

Answer

11000 , 11001, 11002

Exercise 2.1 Page Number 30

2

Write the three whole numbers occurring just before 10001.

Answer

10000, 9999,9998

Exercise 2.1 Page Number 30

3

Which is the smallest whole number?

Answer

0 is the smallest whole number.

Exercise 2.1 Page Number 30

4

How many whole numbers are there between 32 and 53?

Answer

(33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52)

There are 20 whole numbers lie between 32 and 53.

Exercise 2.1 Page Number 30

5

Write the successor of :
(a) 2440701
(b) 100199
(c) 1099999
(d) 2345670

Answer

a) 2440701 = 2440701 + 1 = 2440702.

b) 100199 = 100199 + 1 = 100200

c) 1099999 = 1099999 + 1 = 1100000

d) 2345670 = 2345670 + 1 = 2345671

Exercise 2.1 Page Number 30

6

Write the predecessor of :
(a) 94
(b) 10000
(c) 208090
(d) 7654321

Answer

(a) 94 = 94 – 1 = 93

(b) 10000 = 10000 – 1= 9999

(d) 7654321 = 7654321 – 1 = 76543210

Exercise 2.1 Page Number 30

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

Answer

(a) 530 > 503

530 is on the left side of number line.

(b) 370 > 307

370 is on the left side of number line.

(c) 98765 > 56789

98765 is on the left side of the number line

(d) 9830415 < 10023001

10023001 is the left side of the number line.

Exercise 2.1 Page Number 30

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.

Answer

(a) 0 is not a natural number (false)

(b) Predecessor of 399 is 398 (false)

(c) True

(d) 599 + 1 = 600 (true)

(e) True

(f) 0 is whole number but not natural numbers.(false)

(g) False

(h) 0 is the smallest whole number (false)

(i) True

(j) False

(k) False

(l) True

(m) False

Exercise 2.1 Page Number 30

1

Find the sum by suitable rearrangement:
(a) 837 + 208 + 363
(b) 1962 + 453 + 1538 + 647

Answer

(a) 837 + 208 + 363

= (837 + 363) + 208

= 1200 + 208

= 1408

(b) 1962 + 453 + 1538 + 647

= (1962 + 1538) + (453 + 647)

= 3500 + 1100

= 4600

Exercise 2.2 Page Number 39

2

Find the product by suitable arrangement:
(a) 2 x 1768 x 50
(b) 4 x 166 x 25
(c) 8 x 291 x 125
(d) 625 x 279 x 16
(e) 285 x 5 x 60
(f) 125 x 40 x 8 x 25

Answer

(a) 2 x 1768 x 50

= (2 x 50) x 1768

= 100 x 1768

= 176800

(b) 4 x 166 x 25

= (4 x 25) x 166

= 100 x 166

= 16600

(c) 8 x 291 x 125

= (8 x 125) x 291

= 1000 x 291

= 291000

(d) 625 x 279 x 16

= (625 x 16) x 279

= 10000 x 279

= 2790000

(e) 285 x 5 x 60

= 285 x (5 x 60)

= 285 x 300

= 85500

(f) 125 x 40 x 8 x 25

= (125 x 8) x (40 x 25)

= 1000 x 1000

= 1000000

Exercise 2.2 Page Number 39

3

Find the value of the following:
(a) 297 x 17 + 297 x 3
(b) 54279 x 92 + 8 x 54279
(c) 81265 x 169 – 81265 x 69
(d) 3845 x 5 x 782 + 769 x 25 x 218

Answer

(a) 297 x 17 + 297 x 3

= 297 x (17 + 3)

= 297 x 20

= 5940

(b) 54279 x 92 + 8 x 54279

= 54279 x (92 + 8)

= 54279 x 100

= 5427900

(c) 81265 x 169 – 81265 x 69

= 81265 x (169 – 69)

= 81265 x 100

= 8126500

(d) 3845 x 5 x 782 + 769 x 25 x 218

= 3845 x 5 x 782 + 769 x 5 x 5 x 218

= 3845 x 5 x 782 + 3845 x 5 x 218

= 3845 x 5 x (782 + 218)

= 3845 x 5 x 1000

= 19225000

Exercise 2.2 Page Number 39

4

Find the product using suitable properties:
(a) 738 x 103
(b) 854 x 102
(c) 258 x 1008
(d) 1005 x 168

Answer

(a) 738 x 103

= 738 x (100 + 3)

= 738 x 100 + 738 x 3

= 73800 + 2214

= 76014

(b) 854 x 102

= 854 x (100 + 2)

= 854 x 100 + 854 x 2

= 85400 + 1708

= 87108

(c) 258 x 1008

= 258 x (1000 + 8)

= 258 x 1000 + 258 x 8

= 258000 + 2064

= 260064

(d) 1005 x 168

= (1000 + 5) x 168

= 1000 x 168 + 5 x 168

= 168000 + 840

= 168840

Exercise 2.2 Page Number 39

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

Answer

Quantity of Petrol filled on Monday = 40 litres

Quantity of Petrol filled on next day = 50 litres

Total Quantity of petrol filled = 90 litres

Now, Cost of 1 litre petrol = Rs.44

Cost of 90 litres of petrol = 44 x 90

= 44 x (100 – 10)

= 44 x 100 – 44 x 10

= 4400 – 440

= Rs.3960

Therefore, he spent Rs.3960 on petrol.

Exercise 2.2 Page Number 39

6

A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs.15 per litre, how much money is due to the vendor per day?

Answer

Quantity of milk supplied in the morning = 32 litres

Quantity of milk supplied in the evening = 68 litres

Total supply = 32 + 68 = 100 litres

Now Cost of 1 litre milk = Rs.15

Cost of 100 litres milk = 15 x 100 = Rs.1500

Therefore, Rs.1500 is due to the vendor per day.

Exercise 2.2 Page Number 40

7

Match the following:
(i)425 x 136 = 425 x (6 + 30 + 100) (a) Commutativity under multiplication
(ii) 2 x 49 x 50 = 2 x 50 x 49 (b) Commutativity under addition
(iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition

Answer

(i) 425 x 136 = 425 x (6 + 30 + 100) (c) Distributivity of multiplication over addition

(ii) 2 x 49 x 50 = 2 x 50 x 49 (a) Commutativity under multiplication

(iii) 80 + 2005 + 20 = 80 + 20 + 2005 (b) Commutativity under addition.

Exercise 2.2 Page Number 40

1

Which of the following will not represent zero:
(a) 1 + 0
(b) 0 x 0
(c) $\frac{0}{2}$
(d) $10 - 10 2 " role="presentation" id="MathJax-Element-23-Frame" style="-webkit-tap-highlight-color: transparent; overflow-wrap: normal; max-width: none; max-height: none; min-width: 0px; min-height: 0px; float: none; word-spacing: normal;"> (10 - 10)/2$

Answer

(a) 1 + 0 is equal to 1 it does not represent zero

(b) 0 x 0 = 0 It represents zero

(c) $= 0. It represents zero$

(d) $= 0. It represents zero$

Exercise 2.3 Page Number 42

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.

Answer

Yes, if we multiply any 2 whole numbers with zero the resultant product will be zero.

Example: 2 x 0 = 0, 5 x 0 = 0, 9 x 0 = 0

If the product of two whole numbers is zero, then both of them may be zero.

0 x 0 = 0

Exercise 2.3 Page Number 42

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.

Answer

If only one number be 1 then the product cannot be 1.

Examples: 5 x 1 = 5, 4 x 1 = 4, 8 x 1 = 8

If both number are 1, then the product is 1

1 x 1 = 1

Exercise 2.3 Page Number 43

4

Find using distributive property:
(a) 728 x 101
(b) 5437 x 1001
(c) 824 x 25
(d) 4275 x 125
(e) 504 x 35

Answer

(a) 728 x 101

= 728 x (100 + 1)

= 728 x 100 + 728 x 1

= 72800 + 728

= 73528

(b) 5437 x 1001

= 5437 x (1000 + 1)

= 5437 x 1000 + 5437 x 1

= 5437000 + 5437

= 5442437

(c) 824 x 25

= 824 x (20 + 5)

= 824 x 20 + 824 x 5

= 16480 + 4120

= 20600

(d) 4275 x 125

= 4275 x (100 + 20 + 5)

= 4275 x 100 + 4275 x 20 + 4275 x 5

= 427500 + 85500 + 21375

= 534375

(e) 504 x 35

= (500 + 4) x 35

= 500 x 35 + 4 x 35

= 17500 + 140

= 17640

Exercise 2.3 Page Number 43

5

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

Answer

123456 x 8 + 6 = 987654

1234567 x 8 + 7 = 9876543

Pattern works like this:

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 = 9875643

Exercise 2.3 Page Number 43

Whole Numbers

NCERT Solutions for Chapter 2 Whole Numbers Class 6 Maths

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Whole Numbers

NCERT Solutions for Chapter 2 Whole Numbers Class 6 Maths

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