Selina solutions for Mathematics [English] Class 6 chapter 5 - Natural Numbers and Whole Numbers (Including Patterns) [Latest edition]

Fill in the blank:
Smallest natural number is _________

Fill in the blank:
Smallest whole number is  _________

Fill in the blank:
Largest natural number is _________

Fill in the blank:
Largest whole number is _________

Fill in the blank:
All natural numbers are  _________

Fill in the blank:
All whole numbers are not _________

Fill in the blank:
Successor of 4099 is ________

Fill in the blank:
Predecessor of 4330 is ________

Represent the following whole numbers on a number line :
0, 3, 5, 8, 10

State true or false:
Whole number are closed for addition.

State true or false:
If a and b are any two whole numbers, then a + b is not a whole number.

State true or false:
If a and b are any two whole numbers, then a + b = b + a

State true or false:
0 + 18= 18 + 0

State true or false:
Addition of whole numbers is associative

State true or false:
10 + 12 + 16 = (10 + 12) + 16 = 10 + (12 + 16)

Fill in the blank:
54 + 234 = 234 +  ______

Fill in the blank:
332 + 497 = ______ + 332

Fill in the blank:
286 + 0 =  ______ 

Fill in the blank:
286 x 1 = ______ 

Fill in the blank:
 a + (b + c) = (a + _____ ) + c

By re-arranging the given numbers evaluate :
237 + 308 + 163

By re-arranging the given numbers evaluate :
162 + 253 +338 + 47

By re-arranging the given numbers evaluate :
21 + 22 + 23 + 24 + 25 + 75 + 76 + 77 + 78 + 79

By re-arranging the given numbers evaluate :
1 + 2 + 3 + 4 + 596 + 597 + 598 + 599

Is a + b + c = a + (b + c) = (b + a) + c ?

Which property of addition is satisfied by :
8 + 7 = 15

Which property of addition is satisfied by :
3+ (5 + 4) = (3 + 5)+ 4

Which property of addition is satisfied by :
 8 x (8 + 0) = 8 x 8 + 8 x 0

Which property of addition is satisfied by :
(7 + 6) x 10 = 7 x 10 + 6 x 10

Which property of addition is satisfied by :
(15 – 12) x 18 = 15 x 18 – 12 x 18

Which property of addition is satisfied by :
16 + 0= 16

Which property of addition is satisfied by :
23 + (-23) = 0

State True or False:
The sum of two odd numbers is an odd number.

State True or False:
The sum of two odd numbers is an even number

State True or False:
The sum of two even numbers is an even number.

State True or False:
The sum of two even numbers is an odd number.

State True or False:
The sum of an even number and an odd number is odd number.

State True or False:
Every whole number is a natural number.

State True or False:
Every natural number is a whole number.

State True or False:
Every whole number + 0 = The whole number itself.

State True or False:
Every whole number x 1 = The whole number itself.

State True or False:
Commutativity and associativity are properties of natural numbers and whole numbers both

State True or False:
Commutativity and associativity are properties of addition for natural numbers and whole numbers both.

State True or False:
If x is a whole number then -x is also a whole number.

Consider two whole numbers a and b such that a is greater than b.
(i) Is a – b a whole number ? Is this result always true ?
(ii) b-a a whole number ? Is this result always true ?

Fill in the blanks :
 8 – 0 = ______ and 0 – 8 = _____ 8 – 0 ≠ 0 – 8, this shows subtraction of whole numbers is not _______

Fill in the blanks :
5 – 10 = _____, which is not a _____
=> Subtraction of ______ is not closed.

Fill in the blanks :
7 – 18 = ______ and (7 – 18) – 5 = ______
18 – 5 = ________ and (7 – 18) – 5 = __________
Is (7 – 18) – 5 = 7 – (18 – 5) ?
=> Subtraction of whose numbers is not ______

Write the identify number, if possible for subtraction.

Write the inverse, if possible for subtraction of whole numbers ?

12 x (9 – 6) = _______ = ________
12 x 9 – 12 x 6 = ________ = _________
Is 12 x (9 – 6) = 12 x 9 – 12 x 6 ? _______
Is this type of result always true ? ______
Name the property used here _______

(16 – 8) x 24 = _________ = _______
16 x 24 – 8 x 24 =_______  – ______ = _______
Is (16 – 8) x 24 = 16 x 24 – 8 x 24 ? ________
Is the type of result always true ? ________
Name the property used here _________

Fill in the blank :
42 x 0 =_____

Fill in the blank :
 592 x 1 = _____

Fill in the blank :
328 x 573 =  ________  x 328

Fill in the blank :
 229 x  ________ = 578 x 229

Fill in the blank :
32 x 15 = 32 x 6 + 32 x 7 + 32 x  ______

Fill in the blank :
23 x 56 = 20 x 56 + ______  x 56

Fill in the blanks :
83 x 54 + 83 x 16 = 83 x ( _______ ) = 83 x ______ = _________.

Fill in the blanks :
98 x 273 – 75 x 273 = ( _____ ) x 273 =_____ x 273

By re-arranging the given numbers evaluate :
2 x 487 x 50

By re-arranging the given numbers evaluate :
25 x 444 x 4

By re-arranging the given numbers evaluate :
225 x 20 x 50 x 4

Use distributive law to evaluate :
984 x 102

Use distributive law to evaluate :
385 x 1004

Use distributive law to evaluate :
446 x 10002

Evaluate using properties :
548 x 98

Evaluate using properties :
924 x 988

Evaluate using properties :
3023 x 723

Evaluate using properties :
679 x 8 + 679 x 2

Evaluate using properties :
284 x 12 – 284 x 2

Evaluate using properties :
55873 x 94 + 55873 x 6

Evaluate using properties :
7984 x 15 – 7984 x 5

Evaluate using properties :
8324 x 1945 – 8324 x 945

Evaluate using properties :
333 x 987 + 13 x 3333

Find the product of the :
Greatest number of three digits and smallest number of five digits.

Find the product of the :
Greatest number of four digits and the greatest number of three digits

Fill in the blank:
(437 + 3) x (400 – 3) = 397 x _______

Fill in the blanks:
66 + 44 + 22 = 11 x ( ______ ) = 11 x _______

Evaluate :
355 x 18

Evaluate :
6214 x 12

Evaluate :
15 x 49372

Evaluate :
9999 x 8

Show that division of whole numbers is not closed
give an example of the above.

Show that any whole number divided by 1, always gives the number itself.
give an example of the above.

Show that every non-zero whole number divided by itself gives 1 (one).
give an example of the above.

Show that zero divided by any non-zero number is zero only.
give an example of the above.

Show that a whole number divided by 0 is not defined.
give an example of the above.

If x is a whole number such that x ÷ x = x, state the value of x.

Fill in the blank:

987 + 1 = ______

Fill in the blank:

 0 + 987 = ……….

Fill in the blank:

336 – (888 + 888) = ______

Fill in the blank:

(23 + 23) – (437 + 437) = ______

State if the following statement is true?

12 ÷ (6 x 2) = (12 ÷ 6) x (12 ÷ 2)

State if the following statement is true?

`a ÷ (b – c) =a/b-a/c`

State if the following statement is true?

`(a – b) ÷ c = a/c-b/c`

State if the following statement is true?

(15 – 13) ÷ 8 = (15 ÷ 8) – (13 ÷ 8)

State if the following statement is true?

`8 ÷ (15 – 13) = 8/15-8/13`

Find the difference between the largest number of four digits and the smallest number of six digits.

Find the difference between the smallest number of eight digits and the largest number of five digits.

The product of the two numbers is 528. If the product of their unit’s digits is 8 and the product of their ten’s digits is 4; find the numbers.

Does there exist a number such that a ÷ a = a?

Divide 5936 by 43 to find the quotient and remainder. Also, check your division by using the formula, dividend = divisor x quotient + remainder.

Solve:

1 x 9 + 1 = 10
12 x 9 + 2 = 110
123 x 9 + 3 = 1110

Solve:

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888

Solve:

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987

Solve:

111 ÷ 3 = 37
222 ÷ 6 = 37
333 ÷ 9 = 37

Complete the following magic squares:

Complete the following magic squares:

Complete the following magic squares:

See the following pattern carefully:

1. If n denotes the number of figures and S denotes the number of matches; find S in terms of n.
2. Find how many matches are required to make the :
   (1) 15th figure
   (2) 40th figure
3. Write a discretion of the pattern in words.

1. In the following pattern, draw the next two figures.
   
2. Construct a table to describe the figures in the above pattern.
3. If n denotes the number of figures and L denotes the number of matches, find L in terms of n.
4. Find how many matches are required to make the :
   (1) 12th figure
   (2) 20th figure

1. In each of the following patterns, construct next figure.
2. In each case, if n denotes the number of figure and F denotes the number of matchsticks used, find F in terms of n.
3. Also find, in each case, how many matches are required to make the: 16th figure and 30th figure.