CBSE Class 6 Mathematics Whole Numbers Worksheet Set C

Whole Numbers

FILL IN THE BLANKS:

1.The whole number which is not a natural number is _________________ .

2.The natural number whose predecessor does not exist is ______________ .

3.There are __________ whole numbers up to 75.

4.Predecessor of 2, 90, 099 is ____________ .

5.There are ____________ natural numbers up to 80.

6.The additive identify for whole numbers is __________ .

7.The statement ( 3 + 5 ) + 6 = 3 + ( 5 + 6 ) shows that addition of whole numbers is _____ .

8.___________ is the multiplicative identity of whole numbers.

9.6 x ( 7 + 3 ) = ( 6 x 7 ) + ( 6 x 3 ). This statement shows that multiplication of whole numbers is _____________ over addition.

10.( 3 x 5 ) x 9 = 3 x ( 5 x 9 ). This statement shows that multiplication of whole number is ____________ .

11.____________ is the only whole number which when divided by it self gives a quotient equal to itself.

1. Fill in the blank

i) Two consecutive predecessors of 4010 are _________& __________.

ii) Smallest whole number is _______________.

iii) Additive identity of whole number is ____________.

iv) Successor of 99 is ____________.

v) 10000 × 0 = ____________ .

2. Match the following

i) Commutative property over addition                          a) a×(b+c) = a×b+a×c
ii) Commutative property over multiplication                 b) a+(b+c) = (a+b)+c
iii) Distributive property of multiplication over addition  c) a×(b×c) = (a×b)×c

3. MCQ

i) Predecessor of natural number 1.
a) 0 b) 2
c) 10
d) doesnot exist

ii) Find the value of (1063×127 - 1063×27)
a) 100000
b) 106300
c) 839700
d) None

iii) 5 ÷ 0 gives.
a) 5
b) 0
c) Not defined d) None

iv) How many whole numbers are there between 53 and 72.
a) 18
b) 19
c) 20
d) 17

4. Solve :-

i) Find 3+5 using number line.

ii) Find by using suitable property

i) 8×475×125

ii) 225×102

Q.1 Fill in the blanks:--

a) 298 + 432 = _________ + 298

b).1246X 0. = ._________

c). 784 + ._______ = 784

d) 348 + (245 + 123) = (348 + 245) + ______

e) 1256X ______ = .1256

f) 368X(30. + 5) = 368X____. + .______ X5

g) 425X(50--6) = 425X_____ --425X6

h) 796 + 1001 = .___________

Q.2. Find the sum of the following numbers by suitable rearrangment:--

a. 361 + 1459 + 639 + 541

b. 84 + 46 + 116 + 254

c. 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 15

1. Name the property for each of the following:

i) 37+18 is a whole number.

ii) 45+(67 + 89) = (45 +67) + 89

iii) 34 + 27= 27 + 34

iv) 91 – 0 = 91

v) 543 + 0 = 543

2. Find the product using distributive propertyi)

397 x 27 + 397 x 13

ii) 571 x 697 – 171 x 697

iii) 3845 x 5 x 782 + 769 x 25 x 218

iv) 645 + 223 x 645

3. A taxi driver filled his car petrol tank with 45 litres of petrol on Saturday. On Sunday he filled his tank with 55 litres of petrol. If the petrol costs Rs.74 per litre, how much did he spend on petrol?

4. A) What is the additive identity in whole numbers?
B) What is the multiplicative identity in whole numbers?

5. What would be the value for each:
i) 5 x 1= ii) 5 + 1=
iii) 5 + 0=
iv) 5 x 0=
v) 5÷1=
vi) 5÷0=

6. Using properties of multiplication, find the product in each of the following:
i) 8 x 7895 x 125
ii) 8325 x 101
iii) 2 x 6851 x 5
iv) 8 x 888 x 25
v) 625 x 279 x 16

7. If the product of two whole numbers be 1, what can you say about these numbers?

8. Fill in the blanksa)

a) Smallest whole number is ____________

b) Sum of two even numbers is _____________

c) Predecessor of natural number 1 is ____________

d) Successor of 569999 is ___________

e) 0 is a _________ number

f) Smallest natural number is __________

g) 0 ÷ 7 = ____________

9. Look at the pattern and write next two steps:

1 x 9 + 1 = 10

12 x 9 + 2 = 110

123 x 9 + 3 = 1110

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10. a) Write the next two odd numbers after 81999.
b) How many whole numbers are there between 15 and 25?

FILL IN THE BLANKS:

1. The whole number which is not a natural number is _________________ .

2. The natural number whose predecessor does not exist is ______________ .

3. There are __________ whole numbers up to 75.

4. Predecessor of 2, 90, 099 is ____________ .

5. There are ____________ natural numbers up to 80.

6. The additive identify for whole numbers is __________ .

7. The statement ( 3 + 5 ) + 6 = 3 + ( 5 + 6 ) shows that addition of whole numbers is _____ .

8. ___________ is the multiplicative identity of whole numbers.

9. 6 x ( 7 + 3 ) = ( 6 x 7 ) + ( 6 x 3 ). This statement shows that multiplication of whole numbers is _____________ over addition.

10. ( 3 x 5 ) x 9 = 3 x ( 5 x 9 ). This statement shows that multiplication of whole number is ____________ .

11. ____________ is the only whole number which when divided by it self gives a quotient equal to itself.

DO THE FOLLOWING:

1. How many times does the digit 5 occur in tens place in the natural numbers from 100 to 1000?

2. How many times does the digit 9 occur in the units place in all the natural numbers up to 100 ?

3. Find the sum by suitable rearrangement.
a) 534 + 100 + 466
b) 365 + 700 + 635

4. Add each of the following and check by reversing the order to the addends.
(a) 3025 + 1825
(b) 2094 + 2942

5. Find the product using properties of whole numbers.
(a) 155 x 601
(b) 1800 x 499
(c) 71 x 380.

6. Find the value of the following expressions using properties of whole numbers.
(a) 4, 380 x 85 - 4, 380 x 75
(b) 270 x 8 + 270 x 9 + 270
(c) 45 x 20 x 5

7. Find the quotient and remainder in each of the following divisions. Check the answer by division algorithm.
(a) 4, 567 ÷ 234
(b) 3, 645 ÷ 15
(c) 7, 654 ÷ 19

8. The product of two numbers is 3, 75, 200. If one of the numbers is 160 . Find the other?

9. On dividing 4, 56, 789 by a certain number the quotient is 1, 952 and a remainder 21 is left. Find the number.

10. Divide the largest 4 – digit number by the largest 2 digit number and write down the quotient and the remainder

Whole Numbers

1) The smallest whole numbers is __________________

2) The predecessor of 10049 is _____________________

3) The natural number whose predecessor does not exist is ____________________

4) The additive identity for whole numbers is _______________________

5) ( 7 + 8) + 3 = 7+(8+3) ____________________ property.

6) ___________________________is the successor of the biggest 3 digit number.

7) _________________________ is the identity for multiplication of whole numbers.

8) Division by zero is ________________________________

9) ___________________ + 2417 = 2417

10. 52 18 = 18 ( +)

11. In a division sum, the dividend , divisor and quotient are the same . Which is that no ______________

12. 420 132 420 32 = 420 ( )

13. 63 106 = 63 ( __________ + _________)

14. The value of 13 0 is __________________

15. All natural numbers are whole numbers ( True/ False)

16. How many whole numbers are there up to 80 ?

17. Whole numbers are closed for division (True / False)

18. How many times does the digit 4 occur in the unit place in all the natural numbers up to 100?

19. Write the successor and predecessor of each of the following numbers :
a) 7000
b) 1899
c) 40040
d) 69999
e) 64494
f) 3300301

20. Write the next 3 consecutive natural numbers :
a) 410436
b) 48998
c) 73299

21.Find the following using number line :
a) 6 + 3
b) 12 5
c) 6 2
d) 3 + 4
e) 41 f) 43

22. Find the following sum by suitable rearrangement :
a) 729 + 123 + 877 +271
b) 594729 +550023 +6912037+732981
c) 14 + 438 +486 +162
d) 2062 +353 +1438 +547

23. Find the value of the following using properties of whole numbers.
a) 786 x 84 + 786 x 16
b) 242 x 102
c) 4 x 821 x 25
d) 741 x 124 x 741 x 24
e) 370 x 6 + 370 x 3 + 370
f) 998 x 126

24. The annual fee charged from a student of class VI in a school is SR135 and class VII is SR 165. If there are in all 235 students in class VI and VII. Find the total collection.

25. On dividing 43, 621 by a certain number, the quotient is 1,246 and the remainder is 11 . Find the divisor.

26. What is the smallest 4 – digit number that is exactly divisible by 21.

27. The product of two number is 118275 . If one of the number is 1425, Find the other ?

28. A dealer sold 155 radio set on Monday and 245 on Tuesday. If the cost of one radio set is Rs. 3050. What is the total amount is collected during these days. 

Choose correct option in Q. 1, 2, 3 and 4

Q.1 Whole numbers are closed under addition and also under multiplication. This property is called
(a) Closure property
(b) Distributive property
(c) Associative property
(d) none of these

Q.2 The whole number ______ has no predecessor
(a) 0
(b) 1
(c) 2
(d) none

Q.3 Multiplicative identity for whole numbers is __________
(a) 0
(b) 1
(c) 2
(d) none

Q.4 5 × (3 + 7) = 5 ×3 + 5×7 shows __________ property of whole numbers
(a) Closure
(b) commutative
(c) associative
(d) distributive

Q5 Which of the following statement is false?
(a) 72+11=11+72
(b) (8+5)+7 = 8 + ( 5+7)
(c) (12+0) is not a whole number
(c) 13+ 0 = 0 + 13

Q6 Using convenient combinations, find the sum
(a) 873, 599, 127
(b) 6725, 3995, 3275

Q7 Find the product using distributive property of multiplication over addition or subtraction.
(a) 3682 x 105
(b) 568 x88 + 568 x 12
(c) 3111 x 998
(d) 7132 x 105 - 7132 x 5

Q8 Fill in the blanks to make the correct statements

(a) 579 x 2 = 2 x __________

(b) 5 x 13 x 40 = _________ x 13

(c) When 0 is divided by any non zero whole number, then the result is __________

(d) 36 x (100 +2) = 36 x 100 + __________ x².

Q9 Find the product by suitable rearrangement
(a) 4 x 800 x 125 x 25
(b) 1285 x 5 x 120
(c) 625 x 279 x 16

Q10 Find the smallest number of 5- digit which is exactly divisible by 129

Q11 A taxi driver filled his car petrol tank with 45 liters of petrol on Saturday. On Sunday, he filled his tank with 55 liters of petrol. If the petrol costs Rs 49 per liter, how much did he spend on petrol?

Q12 Find the sum using associative property
(a) 127 + ( 189 + 73)
(b) (65 + 19 )+ 15

Q13 There are 8 baskets, each having 7 apples, If 3 apples are taken away from each baskets, how many apples in total are left in the baskets.

1. MULTIPLE CHOICE QUESTIONS.

(a) Additive identity of whole number is (1,0,2,10)

(b) The sum of successor and predecessor of 1000 is (1999,1001,2000,1111)

(c) The smallest whole number is (0,1,2,10)

(d) Which number has no predecessor in whole numbers?(1,2,10,0)

(e) The predecessor of smallest 5 digit number is (9999,100001,99,0)

(f) 6 x(4+3) = 6x4 + 6x (6,4,3)

(g) 2x49x50 = 50×_×2 (2,49,50)

(h) Which is an example of Commutative Property?
a. 21 × 1 = 21,
b. 5×(6+7) = 5 x 6 + 5 x 7
c.12 + 32 = 32 + 12
d.12 + 0 = 12)

(i) Name the property used "16×32 is a whole number" (closure,commutative, associative, distributive)

(j) Name the property used" 1489×1 = 1489" (Identity of multiplication, closure, distributive)

II SOLVE

1. How many whole numbers are there between 63 and 82?

2. Write the successor of largest 3 digit number

3. Find using number line a. 3+4 b. 4x2 c. 8-3

4. Find the sum by suitable arrangement and mention the property used

a. 878 + 3409 + 122

b. 1983 + 647 + 217 + 353

c. 756 + 638 + 4244 + 4362

5. Find the product using suitable arrangement, mention the property used

a. 8 x 453 x 125

b. 2 × 2867 × 50

c. 4 × 1498 x 25

d. 30 × 6 × 5 × 9

6 Find the value using suitable property and mention the property used

a. 235 × 998

b. 473 x 119 - 19 x 473

c. 252 × 103

d. 577 × 1004

e. 445 × 96

f. 789 × 99 + 789

g. 825 × 998 + 825 x 2

h. 972 × 12 - 972 x 2

Fill in the blanks :

Question. 25 8 125 4 = ___________
Answer : 100000

Question. 315 105 = 315 100 + ____________ 5
Answer : 315

Question. Division by zero is _____________
Answer : not defined

Question. The whole number ______________ has no number .
Answer : zero

Question. The smallest natural number is ________________.
Answer : one

Question. The sum of 3 odd numbers is _____________.
Answer : odd

Question. _______________ is the additive identity for the whole numbers.
Answer : zero

Question. ( 7 8) 5 = 7 ( 8 5) This statement shows that multiplication of whole numbers is _____________.
Answer : associate

Question. How many numbers between 102 and 211.
Answer : 108

Question. 3 + 7 = 7 + 3 . This statement shows that addition of whole numbers is __________
Answer : commutative

Question. Determining the product by suitable rearrangements
a) 2 125 50 8
b) 16 279 625
c) 2 1735 50
Answer : a) 100000
b) 2790000
c) 173500

Question. A teacher purchases 42 Mathematics books and 42 English books for his class. If the cost of a Mathematics book is Rs 52 and the cost of an English book is Rs48. Find the total amount paid by the teacher to the shopkeeper.
Answer : 24200

Question. If the cost of a pack of mango drink is Rs.14. Then how many packs of the drink can be purchased for Rs.76 and what is the balance ?
Answer : 5, Balance Rs.6

Knowing our numbers

Question. Estimate using general rule :
(i) 830 + 976
(ii) 496 215
(iii) 13,804 + 3,777
(iv) 61,292 21, 496
Answer : (i) 1,800 (ii) 300 (iii) 18,000 (iv) 40,000

Question. Estimate the products using general rule :
(i) 758 151
(ii) 4391 2300
(iii) 2187 456
(iv) 6978 43
Answer : (i) 16,0000 (ii) 80,00,000 (iii) 10,00,000 (iv) 2,80,000

Question. Write the Roman Numeral for :
(i) 99
(ii) 48
(iii) 67
(iv) 81
(v) 17
(vi) 76
(viii) 54
Answer : (i) XCIX (ii) XLVIII (iii) LXVII (iv) LXXXI (v) XVII (vi) LXXXI (v) XVII (vi) LXXVI (vii) XCIII (viii) LIV

Answer the following :

Question. The town newspaper is published every day. One copy has 15 pages. Everyday 12, 500 copies are printed. How man total pages are printed every day?
Answer : 1,87,500 pages

Question. Apples are packed in boxes, each weighing 5kg 500gm. How many such boxes can be loaded in a van which cannot carry beyond 1000kg?
Answer : 181 boxes

Q1.Estimate the following products
(a) 898 × 795

Q2.Estimate each of the following using general rule:
(a) 730 + 968
(b) 796 – 314

Q3. Estimate the following products using general rule:
(a) 1391 × 592

Q4. Write in Roman numerals.
a) 654 b) 1012

Q5.Write the Roman numerals in number
a) XLVIII
(b). XXIX+LX

Q6.Place commas correctly and write the numerals:
(a) Seven crore fifty two lakh twenty one thousand three hundred two.

Q7.Make the greatest four digit number by using any one digit twice by 3,8,7

Q8. Fill in the blanks to make the statement true
6245+ (631+751) = 631+……….+751

Q9. Find the value of 1507 – (625÷25)

Q10. Find the whole number if n +4 = 9

Q11. The line on which we represent the natural number is known as________

Q12 Write the successor of : (a) 2440701 (b) 100199

Q13. Simplify: 126 × 55 + 126 × 45

Q14. Find the sum by suitable rearrangement:
(a) 1962 + 453 + 1538 + 647

Q15.Find the value of the following:
(a) 297 × 17 + 297 × 5

Q16. Find the product of the largest 2 digit number and the largest 3 digit number,using suitable method

Q17. What is H.C.F OF 4 × 27× 3125

Q18 Write all the factors of the following numbers :
(a) 24
(b) 15

Q19 Write five pairs of prime numbers less than 20 whose sum is divisible by 5.

Q20. Two numbers having only 1 as common factor are called_____

Q21. Common factors of 12 and 24 are

Q22. The product of L.C.M and H.C.F. of two numbers is equal to
(a) Sum of numbers
(b) Difference of numbers

Q23. What is the H.C.F. of 48 and 14

Q24 Find the least number which when divided by 6,15 and 18 leave remainder 5 in each case.

Q25. Find the L.C.M OF 36,75,80

Q26. Reduce 2211/5025 to the lowest terms by dividing the numerator and denominator their by H.C.F

Q27. In one state, the number of bicycles sold in the year 2002-2003 was 8,65,000. In the year 2003-2004, the number of bicycles sold was 12,00,100. In which year were more bicycles sold? And how many more.

Project:
Design your own small book of Maths (using your creativity and knowledge) covering all the topics from integers and playing with numbers explain each subtopic in detail and solve 2 questions each related to every subtopic. Also include the real life situations where we are applying integers and playing with numbers (For eg. +ve Whether, -ve whether and explain the conditions of different whether).correlate it with other subjects (foreg.whether in geography).