CHAPTER-2 WHOLE NUMBER
MATHEMATICS CLASS-6th NCERT BOOK SOLUTION IN ENGLISH
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MATHEMATICS NCERT CLASS 6th BOOK SOLUTION (CHAPTER WISE) ENGLISH
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👉THE ULTIMATE LEARNER👈
CHAPTER-2 WHOLE NUMBER
1. Write the next three natural numbers after 10999.
ANSWER:
10,999 + 1 = 11,000
11,000 + 1 = 11,001
11,001 + 1 = 11,002
2. Write the three whole numbers occurring just before 10001
ANSWER:
10,001 – 1 = 10,000
10,000 – 1 = 9,999
9,999 – 1 = 9,998
3. Which is the smallest whole number?
ANSWER:
‘0’ (zero) is the smallest whole number.
4. How many whole numbers are there between 32 and 53?
ANSWER:
53 – 32 – 1 = 20
There are 20 whole numbers between 32 and 53.
5. Write the successor of:
(a) 2440701
ANSWER:
Successor of 2440701 is 2440701 + 1 = 2440702
(b) 100199
ANSWER:
Successor of 100199 is 100199 + 1 = 100200
(c) 1099999
ANSWER:
Successor of 1099999 is 1099999 + 1 = 1100000
(d) 2345670
ANSWER:
Successor of 2345670 is 2345670 + 1 = 2345671
6. Write the predecessor of:
(a) 94
ANSWER:
The predecessor of 94 is 94 – 1 = 93
(b) 10000
ANSWER:
(c) 208090
ANSWER:
(d) 7654321
ANSWER:
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
ANSWER:) 530 > 503;
So 503 appear on left side of 530 on number line.
(b) 370, 307
ANSWER:) 370 > 307;
So 307 appear on left side of 370 on number line.
(c) 98765, 56789
ANSWER:) 98765 > 56789;
So 56789 appear on left side of 98765 on number line.
(d) 9830415, 10023001
ANSWER:) 9830415 < 10023001;
So 9830415 appear on left side of 10023001 on number line.
8. Which of the following statements are true (T) and which are false (F):
(a) Zero is the smallest natural number.
ANSWER:) False
(b) 400 is the predecessor of 399.
ANSWER:) False
(c) Zero is the smallest whole number.
ANSWER:) True
(d) 600 is the successor of 599.
ANSWER:) True
(e) All natural numbers are whole numbers.
ANSWER:) True
(f) All whole numbers are natural numbers.
ANSWER:) False
(g) The predecessor of a two digit number is never a single digit number.
ANSWER:) False
(h) 1 is the smallest whole number.
ANSWER:) False
(i) The natural number 1 has no predecessor.
ANSWER:) True
(j) The whole number 1 has no predecessor.
ANSWER:) False
(k) The whole number 13 lies between 11 and 12.
ANSWER:) False
(l) The whole number 0 has no predecessor.
ANSWER:) True
(m) The successor of a two digit number is always a two digit number.
ANSWER:) False
[NCERT]*Mathematics NCERT Class 6th Books , Solution , Notes HIndi & English PDF Free Download
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MATHEMATICS NCERT CLASS 6th BOOK SOLUTION (CHAPTER WISE) ENGLISH
👉नोट:- लिंक पर क्लिक करें और पढ़े। 👈
👉THE ULTIMATE LEARNER👈
CHAPTER-2 WHOLE NUMBER
1. Find the sum by suitable rearrangement:
(a) 837 + 208 + 363
Ans: 837 + 208 + 363
= (837 + 363) + 208
= 1200 + 208
= 1408
(b) 1962 + 453 + 1538 + 647
Ans: 1962 + 453 + 1538 + 647
= (1962 + 1538) + (453 + 647)
= 3500 + 1100
= 4600
2. Find the product by suitable arrangement:
(a) 2 x 1768 x 50
Ans:2 x 1768 x 50
= (2 x 50) x 1768
= (2 x 50) x 1768
= 176800
(b) 4 x 166 x 25
Ans: 4 x 166 x 25
= (4 x 25) x 166
= 100 x 166
= 16600
(c) 8 x 291 x 125
Ans:) 8 x 291 x 125
= (8 x 125) x 291
= 1000 x 291
= 291000
(d) 625 x 279 x 16
Ans:) 625 x 279 x 16
= (625 x 16) x 279
= 10000 x 279
= 2790000
(e) 285 x 5 x 60
Ans:) 285 x 5 x 60
= 284 x (5 x 60)
= 284 x 300
= 85500
(f) 125 x 40 x 8 x 25
Ans:)125 x 40 x 8 x 25
= (125 x 8) x (40 x 25)
= 1000 x 1000
= 1000000
3. Find the value of the following:
(a) 297 x 17 + 297 x 3
Ans:) 297 x 17 + 297 x 3
= 297 x (17 + 3)
= 297 x 20
= 5940
(b) 54279 x 92 + 8 x 54279
Ans:)54279 x 92 + 8 x 542379
= 54279 x (92 + 8)
= 54279 x 100
= 5427900
(c) 81265 x 169 – 81265 x 69
Ans:)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
Ans:)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
4. Find the product using suitable properties:
(a) 738 x 103
Ans:)) 738 x 103
= 738 x (100 + 3)
= 738 x 100 + 738 x 3
= 73800 + 2214
= 76014
(b) 854 x 102
Ans:) 854 x 102
= 854 x (100 + 2)
= 854 x 100 + 854 x 2
= 85400 + 1708
= 87108
(c) 258 x 1008
Ans:) 258 x 1008
= 258 x (1000 + 8)
= 258 x 1000 + 258 x 8
= 258000 + 2064
= 260064
(d) 1005 x 168
Ans:)1005 x 168
= (1000 + 5) x 168
= 1000 x 168 + 5 x 168
= 168000 + 840
= 168840
5. A taxi-driver, filled his car petrol tank with 40 liters of petrol on Monday. The next day, he filled the tank with 50 liters of petrol. If the petrol costs ` 44 per liter, how much did he spend in all on petrol?
Ans:)
Petrol filled on next day = 50 liters
Total petrol filled = 90 liters
Now, Cost of 1 liter petrol = ` 44
Cost of 90 liters petrol = 44 x 90
= 44 x (100 – 10)
= 44 x 100 – 44 x 10
= 4400 – 440 = ` 3960
Therefore, he spent ` 3960 on petrol.
[NCERT]*Mathematics NCERT Class 6th Books , Solution , Notes HIndi & English PDF Free Download
[NCERT]*Mathematics NCERT Class 6th Books IN English PDF Free Download
👉नोट:- लिंक पर क्लिक करें और पढ़े। 👈
MATHEMATICS NCERT CLASS 6th BOOK SOLUTION (CHAPTER WISE) ENGLISH
👉नोट:- लिंक पर क्लिक करें और पढ़े। 👈
👉THE ULTIMATE LEARNER👈
CHAPTER-2 WHOLE NUMBER
1. Which of the following will not represent zero:
(a) 1 + 0
(b) 0 x 0
(c) 0/2
(d) 10-10/2
Ans:)
(a) [1 + 0 is equal to 1]
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.
Ans:)
Yes, if we multiply any number with zero the resultant product will be zero.
Example: 2 x 0 = 0, 5 x 0 = 0, 9 x 0 = 0
If both numbers are zero, then the result also be zero. 0 x 0 = 0
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.
Ans:)
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
4. Find using distributive property:
(a) 728 x 101
Ans:)728 x 101
= 728 x (100 + 1)
= 728 x 100 + 728 x 1
= 72800 + 728
= 73528
(b) 5437 x 1001
Ans:)5437 x 1001
= 5437 x (1000 + 1)
= 5437 x 1000 + 5437 x 1
= 5437000 + 5437
= 5442437
(c) 824 x 25
Ans:) 824 x 25
= 824 x (20 + 5)
= 824 x 20 + 824 x 5
= 16480 + 4120
= 20600
(d) 4275 x 125
Ans:)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
Ans:)504 x 35
= (500 + 4) x 35
= 500 x 35 + 4 x 35
= 17500 + 140
= 17640
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?
Ans:)
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