Class 6 Maths Chapter 2 Whole Numbers
Directions: In questions 1 to 11, out of the four options, only one is correct. Write the correct answer.
1. The number of whole numbers between 38 and 68 is
(1) 31
(2) 30
(3) 29
(4) 28
Solution (3): There are 29 whole numbers between 38 and 68.
2. The product of the successor and predecessor of 999 is
(1) 999000
(2) 998000
(3) 989000
(4) 1998
Solution (2): Successor of 999 = 999 +1 = 1000
Predecessor of 999 = 999-1 = 998
Now, their product = 998 x 1000 = 998000
Read and Learn More Class 6 Maths Exemplar Solutions
3. The product of a non-zero whole number and its successor is always
(1) an even number
(2) an odd number
(3) a prime number
(4) divisible by 3
Solution (1): The product of a non-zero whole number (even/odd) and its successor (odd/ even) is always an even number.
4. A whole number is added to 25 and the same number is subtracted from 25. The sum of the resulting numbers is
(1) 0
(2) 25
(3) 50
(4) 75
Solution(3): Let the whole number be x.
According to question,
Required sum = (x + 25) + (25- x)
= x + 25 + 25- x = 50
5. Which of the following is not true?
(1) (7 + 8) + 9 = 7 + (8 + 9)
(2) (7 x 8) x 9 = 7 x (8 x 9)
(3) 7 + 8 x 9 = (7 + 8) x (7 + 9)
(4) 7 x (8 + 9) = (7 x 8) + (7 x 9)
Solution (3): 7 + 8 x 9 = 7 + 72 = 79,
(7 + 8) x (7 + 9)- 15 × 16 = 240 and 79 x 240
6. By using dot (•) patterns, which ofthe following numbers can be arranged in all the three ways namely a line, a triangle and a rectangle?
(1) 9
(2) 10
(3) 11
(4) 12
Solution (2): As we know that every number can be arranged as a line.
The number 10 can be shown as
Also, the number 10 can be shown as a triangle as given below :
And, the number 10 can also be shown as a rectangle, as given below :
7. Which of the following statements is not true?
(1) Both addition and multiplication are associative for whole numbers.
(2) Zero is the identity for multiplication of whole numbers.
(3) Addition and multiplication both are commutative for whole numbers.
(4) Multiplication is distributive over addition for whole numbers.
Solution (2): Zero is the identity for addition of whole numbers.
8. Which of the following statements is not true?
(1) 0 + 0 = 0
(3) 0x0 = 0
(2) 0-0 = 0
(4) 0-0 = 0
Solution (4): 0 + 0 is not defined.
9. The predecessor of 1 lakh is
(1) 99000
(2) 99999
(4) 100001
(3) 999999
Solution (2): 1 lakh = 100000
Predecessor of 100000 = 100000-1 = 99999
10. The successor of 1 million is
(1) 2 millions
(2) 1000001
(3) 100001
(4) 10001
Solution(2): 1 million = 1000000
Successor of 1000000 = 1000000 +1 = 1000001
11. Number of even numbers between 58 and 80 is
(1) 10
(2) 11
(3) 12
(4) 13
Solution (1): Even numbers between 58 and 80 are 60, 62, 64, 66, 68, 70, 72, 74, 76, 78.
So, here are 10 even numbers between 58 and 80.
Directions: In questions 12 to .37 stole whether the given statements are true (T) or false (F)
12. Successor of a one digit number is always a one digit number.
Solution: False
The successor of a one digit number 9 is a two digit number, i.c., 10.
13. Successor of a 3-digit number is always a 3-digit number.
Solution: False
The successor of a 3-digit number 999 is a 4-digit number, i.e., 1000.
14. Predecessor of a two digit number is always a two digit number.
Solution: False
The predecessor of a two digit number 10 is a one digit number, i.e., 9.
15. Every whole number has its successor.
Solution: True
16. Every whole number has its predecessor.
Solution: False
0 is a whole number and it does not have any predecessor.
17. Between any two natural numbers, there is one natural number.
Solution: False
Since, 1 and 2 are two natural numbers and there is no natural number between1 and 2.
18. The smallest 4-digit number is the successor of the largest 3-digit number.
Solution: True
The smallest 4-digit number is 1000, i.e., 999 +1 and the largest 3-digit number is 999.
19. Of the given two natural numbers, the one having more digits is greater.
Solution: True
20. Natural numbers are closed under addition.
Solution: True
The sum of two natural numbers is also a natural number.
21. Natural numbers are not closed under multiplication.
Solution: False
The multiplication of two natural numbers is also a natural number.
22. Natural numbers are closed under subtraction.
Solution: False
2 and 5 are natural numbers, but their subtraction, 2-5 =-3 isnot anatural number.
23. Addition is commutative for natural numbers.
Solution: True
Since, a + b = b + a, where ‘a’ and ‘V are natural numbers.
24. 1 is the identity for addition of whole numbers.
Solution: False
0 is the identity for addition of whole numbers.
As 0 + a = a + 0 = a, where a is any whole number.
25. 1 is the identity for multiplication of whole numbers.
Solution: True
a×1 = 1 x a = a, where ‘a’ is any whole number.
26. There is a whole number which when added to a whole number, gives the number itself.
Solution: True
27. There is a natural number which when added to a natural number, gives the number itself.
Solution: False
28. If a whole number is divided by another whole number, which is greater than the first one, the quotient is not equal to zero.
Solution: True
29. Any non-zero whole number divided by itself gives the quotient 1.
Solution: True
30. The product of two whole numbers need not be a whole number.
Solution: False
The product of any two whole numbers will always be a whole number.
31. A whole number divided by another whole number greater than 1 never gives the quotient equal to the former.
Solution : True
32. Every multiple of a number is greater than or equal to the number.
Solution: True
33. The number of multiples of a given number is finite.
Solution: False
Since, the number of multiples of a given number is infinite.
34. Every number is a multiple of itself.
Solution: True
35. Every whole number is the successor of another whole number.
Solution: False
0 is a whole number but it is not a successor of any whole number.
36. Sum of two whole numbers is always less than their product.
Solution: False
Product of two whole numbers may or may not be greater than their sum.
37. If the sum of two distinct whole numbers is odd, then their difference also must be odd.
Solution: True
Directions:In questions 38 to 59,fill in the blanks to make the statements true.
38. The smallest whole number is_________.
Solution 0 : 0 is the smallest whole number.
39. Successor of 1061 59 is_________.
Solution 106160: Successor of 106159 is 106159 +1, i.e., 106160
40. Predecessor of 1 00000 is_________.
Solution 99999: Predecessor of 100000 is 100000-l, i.e., 99999
41. 400 is the predecessor of__________.
Solution 401: 400 is the predecessor of 400 + 1, i.e., 401
42.________ is the successor of the largest 3 digit number.
Solution 1000: Largest 3 digit number = 999
Successor of 999 is 999 + 1, i.e., 1000
43. If 0 is subtracted from a whole number, then the result is the_________ itself.
Solution: Number
44. Whole numbers are closed under and under________.
Solution: Addition, multiplication
45. Natural numbers are closed under and under_______.
Solution: Addition, multiplication
46. Division of a whole number by ___________ is not defined.
Solution: 0
47. Multiplication is distributive over__________ for whole numbers.
Solution: Addition
48. 2395 x_________ = 6195×2395
Solution 6195: Since, multiplication is commutative for whole numbers
49. 1001 x 2002 = 1001 x (1001 +_________)
Solution: 1001
1001 x 2002 = 1001 x (1001 +1001)
50. 10001 x 0 = __________
Solution: 0.
10001 x 0 = 0
51. 2916 x_________ = 0
Solution: 0.
2916 x 0 = 0
52. 9128 x_______= 9128
Solution 1 : Since,1 is the multiplicative identity for whole numbers.
53. 125 + (68 + 17) = (125 +_______)+ 17
Solution 68: Since, addition is associative for whole numbers.
54. 8925x 1 =_____
Solution: 8925
8925x 1= 8925
55. 19 x 12 + 19 = 19 x (12 +_______)
Solution 1: Since multiplication is distributive over addition for whole numbers.
56. 24 x 35 = 24 x 1 8 + 24 X_______
Solution: 17
24 x 35 = 24 x 1 8 + 24 X 17
57. 32x(27×19) = (32x__________)x19
Solution 27: Since, multiplication is associative for whole numbers.
58. 786×3 + 786×7 =_______
Solution: 7860 : 786 x 3 + 786 x 7 = 786 * (3 + 7)
= 786 x 10 = 7860
786×3 + 786×7 =7860
59. 24 x 25 = 24 X □÷4= 600
Solution: 100
60. Given below are two columns – Column I and Column II. Match each item of Column I with the corresponding item of Column II.
