#### Chapters

Chapter 2: Factors and Multiples

Chapter 3: Whole Numbers

Chapter 4: Integers

Chapter 5: Fractions

Chapter 6: Simplification

Chapter 7: Decimals

Chapter 8: Algebraic Expressions

Chapter 9: Linear Equation in One Variable

Chapter 10: Ratio, Proportion and Unitary Method

Chapter 11: Line Segment, Ray and Line

Chapter 12: Parallel Lines

Chapter 13: Angles and Their Measurement

Chapter 14: Constructions (Using Ruler and a Pair of Compasses)

Chapter 15: Polygons

Chapter 16: Triangles

Chapter 17: Quadrilaterals

Chapter 18: Circles

Chapter 19: Three-Dimensional Shapes

Chapter 20: Two-Dimensional Reflection Symmetry (Linear Symmetry)

Chapter 21: Concept of Perimeter and Area

Chapter 22: Data Handling

Chapter 23: Pictograph

Chapter 24: Bar Graph

## Chapter 3: Whole Numbers

### RS Aggarwal solutions for Class 6 Mathematics Chapter 3 Whole Numbers Exercise 3A [Pages 45 - 46]

Write the next three whole numbers after 30999.

Write the three whole numbers occurring just before 10001.

How many whole numbers are there between 1032 and 1209?

Which is the smallest whole number?

Write the successor of: 2540801

Write the successor of: 9999

Write the successor of: 50904

Write the successor of: 61639

Write the successor of: 687890

Write the successor of: 5386700

Write the successor of: 6475999

Write the successor of: 9999999

Write the predecessor of: 97

Write the predecessor of: 10000

Write the predecessor of: 36900

Write the predecessor of: 7684320

Write the predecessor of: 1566391

Write the predecessor of: 2456800

Write the predecessor of: 100000

Write the predecessor of: 1000000

Write down three consecutive whole numbers just preceding 7510001.

Write (T) for true and (F) for false against the following statements:

Zero is the smallest natural number.

True

False

Write (T) for true and (F) for false against the following statement:

Zero is the smallest whole number.

True

False

Write (T) for true and (F) for false against the following statements:

Every whole number is a natural number.

True

False

Write (T) for true and (F) for false against the following statement:

Every natural number is a whole number.

True

False

Write (T) for true and (F) for false against the following statements:

1 is the smallest whole number.

True

False

Write (T) for true and (F) for false against the following statement:

The natural number 1 has no predecessor.

True

False

Write (T) for true and (F) for false against the following statement:

The whole number 1 has no predecessor.

True

False

Write (T) for true and (F) for false against the following statement:

The whole number 0 has no predecessor.

True

False

Write (T) for true and (F) for false against the following statement:

The predecessor of a two-digit number is never a single-digit number.

True

False

Write (T) for true and (F) for false against the following statement:

The successor of a two-digit number is always a two-digit number.

True

False

Write (T) for true and (F) for false against the following statement:

500 is the predecessor of 499.

True

False

Write (T) for true and (F) for false against the following statement:

7000 is the successor of 6999.

True

False

### RS Aggarwal solutions for Class 6 Mathematics Chapter 3 Whole Numbers Exercise 3B [Page 48]

Fill in the blanks to make the following a true statement:

458 + 639 = 639 + ......

Fill in the blanks to make the following a true statement:

864 + 2006 = 2006 + ......

Fill in the blanks to make the following a true statement:

1946 + ...... = 984 + 1946

Fill in the blanks to make the following a true statement:

8063 + 0 = ......

Fill in the blanks to make the following a true statement:

53501 + (574 + 799) = 574 + (53501 + ......)

Add the following numbers and check by reversing the order of the addends:

16509 + 114

Add the following numbers and check by reversing the order of the addends:

2359 + 548

Add the following numbers and check by reversing the order of the addends:

19753 + 2867

Find the sum: (1546 + 498) + 3589.

Also, find the sum: 1546 + (498 + 3589).

Are the two sums equal?

State the property satisfied.

Determine the sum given below using suitable rearrangement.

953 + 707 + 647

Determine the sum given below using suitable rearrangement.

1983 + 647 + 217 + 353

Determine the sum given below using suitable rearrangement.

15409 + 278 + 691 + 422

Determine the sum given below using suitable rearrangement.

3259 + 10001 + 2641 + 9999

Determine the sum given below using suitable rearrangement.

1 + 2 + 3 + 4 + 96 + 97 + 98 + 99

Determine the sum given below using suitable rearrangement.

2 + 3 + 4 + 5 + 45 + 46 + 47 + 48

Find the sum by short method: 6784 + 9999

Find the sum by short method: 10578 + 99999

For any whole numbers a, b, c, is it true that (a + b) + c = a + (c + b)? Give reasons.

Complete the following magic square by supplying the missing numbers:

9 | 2 | |

5 | ||

8 |

Complete the following magic square by supplying the missing numbers:

16 | 2 | |

10 | ||

4 |

Complete the following magic square by supplying the missing numbers:

2 | 15 | 16 | |

9 | 12 | ||

7 | 10 | ||

14 | 17 |

Complete the following magic square by supplying the missing numbers:

18 | 17 | 4 | |

14 | 11 | ||

9 | 10 | ||

19 | 16 |

Write (T) for true and (F) for false for the following statement:

The sum of two odd numbers is an odd number.

True

False

Write (T) for true and (F) for false for the following statement:

The sum of two even numbers is an even number.

True

False

Write (T) for true and (F) for false for the following statement:

The sum of an even number and an odd number is an odd number.

True

False

### RS Aggarwal solutions for Class 6 Mathematics Chapter 3 Whole Numbers Exercise 3C [Pages 49 - 50]

Perform the following subtraction. Check your result by the corresponding addition.

6237 − 694

Perform the following subtraction. Check your result by the corresponding addition.

21205 − 10899

Perform the following subtraction. Check your result by the corresponding addition.

100000 − 78987

Perform the following subtraction. Check your result by the corresponding addition.

1010101 − 656565

Replace each * by the correct digit in the following:

\[\begin{array}{r}

&\texttt{9 1 7}\\

-&\texttt{* 5 *}\\

\hline

&\texttt{5 * 8}

\end{array}\]

Replace each * by the correct digit in the following:

\[\begin{array}{r}

&\texttt{6 1 7 2}\\

-&\texttt{* * 6 9}\\

\hline

&\texttt{2 9 * *}

\end{array}\]

Replace each * by the correct digit in the following:

\[\begin{array}{r}

&\texttt{5 0 0 1 0 0 3}\\

-&\texttt{* * 6 9 8 7}\\

\hline

&\texttt{4 8 4 * * * *}\\

\hline

\end{array}\]

Replace each * by the correct digit in the following:

\[\begin{array}{r}

&\texttt{1 0 0 0 0 0 0}\\

-&\texttt{* * * * 1}\\

\hline

&\texttt{* 7 0 4 2 *}\\

\hline

\end{array}\]

Find the difference: 463 − 9

Find the difference: 5632 − 99

Find the difference: 8640 − 999

Find the difference: 13006 − 9999

Find the difference between the smallest number of 7 digits and the largest number of 4 digits.

Ravi opened his account in a bank by depositing Rs 136000. Next day he withdrew Rs 73129 from it. How much money was left in his account?

Mrs Saxena withdrew Rs 100000 from her bank account. She purchased a TV set for Rs 38750, a refrigerator for Rs 23890 and jewellery worth Rs 35560. How much money was left with her?

The population of a town was 110500. In one year it increased by 3608 due to new births. However, 8973 persons died or left the town during the year. What was the population at the end of the year?

Find the whole number n when: n + 4 = 9

Find the whole number n when: n + 35 = 101

Find the whole number n when: n − 18 = 39

Find the whole number n when: n − 20568 = 21403

### RS Aggarwal solutions for Class 6 Mathematics Chapter 3 Whole Numbers Exercise 3D [Pages 53 - 54]

Fill in the blanks to make the following a true statement:

246 × 1 = ......

Fill in the blanks to make the following a true statement:

1369 × 0 = .......

Fill in the blanks to make the following a true statement:

593 × 188 = 188 × .......

Fill in the blanks to make the following a true statement:

286 × 753 = ...... × 286

Fill in the blanks to make the following a true statement:

38 × (91 × 37) = ...... × (38 × 37)

Fill in the blanks to make the following a true statement:

13 × 100 × ...... = 1300000

Fill in the blanks to make the following a true statement:

59 × 66 + 59 × 34 = 59 × (...... + ......)

Fill in the blanks to make the following a true statement:

68 × 95 = 68 × 100 − 68 × .......

State the property used in the following statement:

19 × 17 = 17 × 19

State the property used in the following statement:

(16 × 32) is a whole number

State the property used in the following statement:

(29 × 36) × 18 = 29 × (36 × 18)

State the property used in the following statement:

1480 × 1 = 1480

State the property used in the following statement:

1732 × 0 = 0

State the property used in the following statement:

72 × 98 + 72 × 2 = 72 × (98 + 2)

State the property used in the following statement:

63 × 126 − 63 × 26 = 63 × (126 − 26)

Find the value of the following using various properties:

647 × 13 + 647 × 7

Find the value of the following using various properties:

8759 × 94 + 8759 × 6

Find the value of the following using various properties:

7459 × 999 + 7459

Find the value of the following using various properties:

9870 × 561 − 9870 × 461

Find the value of the following using various properties:

569 × 17 + 569 × 13 + 569 × 70

Find the value of the following using various properties:

16825 × 16825 − 16825 × 6825

Determine the following products by suitable rearrangements:

2 × 1658 × 50

Determine the following products by suitable rearrangements:

4 × 927 × 25

Determine the following products by suitable rearrangements:

625 × 20 × 8 × 50

Determine the following products by suitable rearrangements:

574 × 625 × 16

Determine the following products by suitable rearrangements:

250 × 60 × 50 × 8

Determine the following products by suitable rearrangements:

8 × 125 × 40 × 25

Find the following product, using distributive laws:

740 × 105

Find the following product, using distributive laws:

245 × 1008

Find the following product, using distributive laws:

947 × 96

Find the following product, using distributive laws:

996 × 367

Find the following product, using distributive laws:

472 × 1097

Find the following product, using distributive laws:

580 × 64

Find the following product, using distributive laws:

439 × 997

Find the following product, using distributive laws:

1553 × 198

Find the following products, using distributive laws:

3576 × 9

Find the following products, using distributive laws:

847 × 99

Find the following products, using distributive laws:

2437 × 999

Find the product: 458 × 67

Find the product: 3709 × 89

Find the product: 4617 × 234

Find the product: 15208 × 542

Find the product of the largest 3-digit number and the largest 5-digit number.

A car moves at a uniform speed of 75 km per hour. How much distance will it cover in 98 hours?

A dealer purchased 139 VCRs. If the cost of each set is Rs 24350, find the cost of all the sets together.

A housing society constructed 197 houses. If the cost of construction for each house is Rs 450000, what is the total cost for all the houses?

50 chairs and 30 blackboards were purchased for a school. If each chair costs Rs 1065 and each blackboard costs Rs 1645, find the total amount of the bill.

There are six sections of Class 6 in a school and there are 45 students in each section. If the monthly charges from each student be Rs 1650, find the total monthly collection from Class 6.

The product of two whole numbers is zero. What do you conclude?

Fill in the blanks:

Sum of two odd numbers is an ...... number.

Fill in the blanks:

Product of two odd numbers is an ...... number.

Fill in the blanks:

a ≠ 0 and a × a = a

⇒ a = ?

### RS Aggarwal solutions for Class 6 Mathematics Chapter 3 Whole Numbers Exercise 3E [Page 56]

Divide and check your answer by the corresponding multiplication in the following:

â€‹1936 â€‹÷ 36

Divide and check your answer by the corresponding multiplication in the following:

19881 â€‹÷ 47

Divide and check your answer by the corresponding multiplication in the following:

257796 â€‹÷ 341

Divide and check your answer by the corresponding multiplication in the following:

612846 â€‹÷ 582

Divide and check your answer by the corresponding multiplication in the following:

34419 â€‹÷ 149

Divide and check your answer by the corresponding multiplication in the following:

39039 â€‹÷ 1001

Divide, and find out the quotient and remainder. Check your answer.

6971 â€‹÷ 47

Divide, and find out the quotient and remainder. Check your answer.

4178 â€‹÷ 35

Divide, and find out the quotient and remainder. Check your answer.

36195 â€‹÷ 153

Divide, and find out the quotient and remainder. Check your answer.

93575 â€‹÷ 400

Divide, and find out the quotient and remainder. Check your answer.

23025 â€‹÷ 1000

Divide, and find out the quotient and remainder. Check your answer.

16135 â€‹÷ 875

Find the value of: 65007 â€‹÷ 1

Find the value of: 0 â€‹÷ 879

Find the value of: 981 + 5720 â€‹÷ 10

Find the value of: 1507 − (625 ÷ 25)

Find the value of: 32277 ÷ (648 − 39)

Find the value of: (1573 ÷ 1573) − (1573 ÷ 1573)

Find a whole number n such that n ÷ n = n.

The product of two numbers is 504347. If one of the numbers is 317, find the other.

On dividing 59761 by a certain number, the quotient is 189 and the remainder is 37. Find the divisor.

On dividing 55390 by 299, the remainder is 75. Find the quotient using the division algorthm.

What least number must be subtracted from 13601 to get a number exactly divisible by 87?

What least number must be added to 1056 to get a number exactly divisible by 23?

Find the largest 4-digit number divisible by 16.

Divide the largest 5 digit number by 653. Check your answer by the division algorithm.

Find the least 6-digit number exactly divisible by 83.

1 dozen bananas cost Rs 29. How many dozens can be purchased for Rs 1392?

19625 trees have been equally planted in 157 rows. Find the number of trees in each row.

The population of a town is 517530. If one out of every 15 is reported to be literate, find how many literate persons are there in the town.

The cost price of 23 colour television sets is Rs 570055. Determine the cost price of each TV set if each costs the same.

### RS Aggarwal solutions for Class 6 Mathematics Chapter 3 Whole Numbers Exercise 3F [Pages 56 - 57]

The smallest whole number is

1

0

2

none of these

The least number of 4 digits which is exactly divisible by 9 is

1018

1026

1009

1008

The largest number of 6 digits which is exactly divisible by 16 is

999980

999982

999984

999964

What least number should be subtracted from 10004 to get a number exactly divisible by 12?

4

6

8

20

What least number should be added to 10056 to get a number exactly divisible by 23?

5

18

13

10

What whole number is nearest to 457 which is divisible by 11?

450

451

460

462

How many whole numbers are there between 1018 and 1203?

185

186

184

none of these

A number when divided by 46 gives 11 as quotient and 15 as remainder. The number is

491

521

701

679

In a division sum, we have dividend = 199, quotient = 16 and remainder = 7. The divisor is

11

23

12

none of these

7589 − ? = 3434

11023

4245

4155

none of these

587 × 99 = ?

57213

58513

58113

56413

4 × 538 × 25 = ?

32280

26900

53800

10760

24679 × 92 + 24679 × 8 = ?

493580

1233950

2467900

none of these

1625 × 1625 − 1625 × 625 = ?

1625000

162500

325000

812500

1568 × 185 − 1568 × 85 = ?

7840

15680

156800

none of these

(888 + 777 + 555) = (111 × ?)

120

280

20

140

The sum of two odd numbers is

an odd number

an even number

a prime number

a multiple of 3

The product of two odd numbers is

an odd number

an even number

a prime number

none of these

If a is a whole number such that a + a = a, then a = ?

1

2

3

none of these

The predecessor of 10000 is

10001

9999

none of these

The successor of 1001 is

1000

1002

none of these

The smallest even whole number is

0

2

none of these

### RS Aggarwal solutions for Class 6 Mathematics Chapter 3 Whole Numbers Test Paper 3 [Pages 59 - 60]

How many whole numbers are there between 1064 and 1201?

Fill in the blanks.

\[\begin{array}{r}

&\texttt{1 0 0 0 0 0 0}\\

-&\texttt{* * * * 1}\\

\hline

&\texttt{* 7 0 4 2 *}\\

\hline

\end{array}\]

Use distributive law to find the value of

Find the product of the largest 5-digit number and the largest 3-digit number using distributive law.

Divide 53968 by 267 and check the result by the division algorithm.

Find the largest 6-digit number divisible by 16.

The cost price of 23 TV sets is Rs 570055. Find the cost of each such set.

What least number must be subtracted from 13801 to get a number exactly divisible by 87?

The value of (89 × 76 + 89 × 24) is

890

8900

89000

10420

On dividing a number by 53 we get 8 as quotient and 5 as remainder. The number is

419

423

429

none of these

The whole number which has no predecessor is

1

0

2

none of these

67 + 33 = 33 + 67 is an example of

closure property

associative property

commutative property

distributive property

Additive inverse of 36 is

`1/36`

0

-36

none of these

Which of the following is not zero?

0 × 0

`0/2`

`((8-8))/2`

2 + 0

The predecessor of the smallest 3-digit number is

999

100

101

99

The number of whole numbers between the smallest whole number and the greatest 2-digit number is

88

98

99

101

**Fill in the blanks.**

The smallest natural number is ...... .

**Fill in the blanks.**

The smallest whole number is ...... .

**Fill in the blanks.**

Division by ...... is not defined.

**Fill in the blanks.**

...... is a whole number which is not a natural number.

**Fill in the blanks.**

...... is a whole number which is not a natural number.

Write 'T' for true and 'F' for false for the following:

0 is the smallest natural number.

True

False

Write 'T' for true and 'F' for false for the following:

Every whole number is a natural number.

True

False

Write 'T' for true and 'F' for false for the following:

1 has no predecessor in whole numbers.

True

False

Write 'T' for true and 'F' for false for the following:

Every natural number is a whole number.

True

False

Match the following columns on whole numbers:

Column A |
Column B |

(a) 137 + 63 = 63 + 137 | (i) Associativity of multiplication |

(b) (16 × 25) is a number | (ii) Commutativity of multiplication |

(c) 365 × 18 = 18 × 365 | (iii) Distributive law of multiplication over addition |

(d) (86 × 14) × 25 = 86 × (14 × 25) | (iv) Commutativity of addition |

(e) 23 × (80 + 5) = (23 × 80) + (23 × 5) | (v) Closure property for multiplication |

## Chapter 3: Whole Numbers

## RS Aggarwal solutions for Class 6 Mathematics chapter 3 - Whole Numbers

RS Aggarwal solutions for Class 6 Mathematics chapter 3 (Whole Numbers) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Class 6 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 6 Mathematics chapter 3 Whole Numbers are Concept for Natural Numbers, Concept for Whole Numbers, Successor and Predecessor of Whole Number, Operation of Whole Numbers on Number Line, Properties of Whole Numbers, Closure Property of Whole Number, Associativity Property of Whole Numbers, Division by Zero, Commutativity Property of Whole Number, Distributivity Property of Whole Numbers, Identity of Addition and Multiplication of Whole Numbers, Patterns in Whole Numbers.

Using RS Aggarwal Class 6 solutions Whole Numbers exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in RS Aggarwal Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 6 prefer RS Aggarwal Textbook Solutions to score more in exam.

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