# Selina Solutions Concise Mathematics Class 6 Chapter 5: Natural And Whole Numbers Exercise 5(B)

Selina Solutions Concise Mathematics Class 6 Chapter 5 Natural Numbers And Whole Numbers Exercise 5(B) explains the properties of Whole Numbers, as per the studentsâ€™ understanding capacity. Practicing textbook questions on a daily basis helps students to gain a better hold on the concepts covered. Students who want to secure high marks in annual exams, need a thorough practice of Selina Solutions. The Solutions are prepared by the expert teachers at BYJUâ€™S to help students in exam preparation. Access Selina Solutions Concise Mathematics Class 6 Chapter 5 Natural Numbers And Whole Numbers Exercise 5(B) PDF, from the links which are provided here

## Selina Solutions Concise Mathematics Class 6 Chapter 5: Natural Numbers And Whole Numbers Exercise 5(B) Download PDF

### Access other exercises of Selina Solutions Concise Mathematics Class 6 Chapter 5: Natural Numbers And Whole Numbers

Exercise 5(A) Solutions

Exercise 5(C) Solutions

Exercise 5(D) Solutions

Exercise 5(E) Solutions

Exercise 5(F) Solutions

### Access Selina Solutions Concise Mathematics Class 6 Chapter 5: Natural Numbers And Whole Numbers Exercise 5(B)

#### Exercise 5(B) page no: 34

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

Solution:

Let us take a = 2 and b = 1

(i) a â€“ b = 2 – 1

= 1

Yes, a â€“ b is a whole number and the result will always remain true

(ii) b â€“ a = 1 â€“ 2

= -1

No, (b â€“ a) cannot be a whole number and this result will always remain true.

2. Fill in the blanks :
(i) 8 â€“ 0 = â€¦â€¦â€¦.. and 0 â€“ 8 = â€¦â€¦â€¦.
8 â€“ 0 â‰  0 â€“ 8, this shows subtraction of whole numbers is not â€¦â€¦â€¦..
(ii) 5 â€“ 10 = â€¦â€¦â€¦., which is not a â€¦â€¦â€¦â€¦
=> Subtraction of â€¦â€¦â€¦.. is not closed.
(iii) 7 â€“ 18 = â€¦â€¦â€¦.. and (7 â€“ 18) â€“ 5 = â€¦â€¦â€¦â€¦..
18 â€“ 5 = â€¦â€¦â€¦â€¦. and (7 â€“ 18) â€“ 5 = â€¦â€¦â€¦â€¦.
Is (7 â€“ 18) â€“ 5 = 7 â€“ (18 â€“ 5) ?
=> Subtraction of whose numbers is not â€¦â€¦â€¦â€¦.

Solution:

(i) 8 â€“ 0 = 8 and 0 â€“ 8 = – 8

8 â€“ 0 â‰  0 â€“ 8, this shows subtraction of whole numbers is not commutative

(ii) 5 â€“ 10 = – 5, which is not a whole number

=> Subtraction of whole numbers is not closed.

(iii) 7 â€“ 18 = – 11 and (7 â€“ 18) â€“ 5 = – 16

18 â€“ 5 = 13 and (7 â€“ 18) â€“ 5 = – 16

Is (7 â€“ 18) â€“ 5 = 7 â€“ (18 â€“ 5) =?

No (7 â€“ 18) â€“ 5 â‰  7 â€“ (18 â€“ 5)

=> Subtraction of whole numbers is not associative

3.Write the identity number, if possible for subtraction.

Solution:

It is not possible because for subtraction no identity number exists.

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

Solution:

Since subtraction for every non-zero whole number does not have identity number, its inverse does not exist.

5. 12 x (9 â€“ 6) = â€¦â€¦â€¦â€¦.. = â€¦â€¦â€¦â€¦.
12 x 9 â€“ 12 x 6 = â€¦â€¦â€¦â€¦. = â€¦â€¦â€¦â€¦â€¦.
Is 12 x (9 â€“ 6) = 12 x 9 â€“ 12 x 6? â€¦â€¦â€¦â€¦.
Is this type of result always true? â€¦â€¦â€¦â€¦â€¦
Name the property used here â€¦â€¦â€¦â€¦..

Solution:

12 Ã— (9 â€“ 6) = 12 Ã— 3 = 36

12 Ã— 9 â€“ 12 Ã— 6 = 108 â€“ 72 = 36

Is 12 Ã— (9 â€“ 6) = 12 Ã— 9 â€“ 12 Ã— 6? Yes

Is this type of result always true? Yes

Name the property used here Distributive property

6. (16 â€“ 8) x 24 = â€¦â€¦â€¦â€¦.. = â€¦â€¦â€¦â€¦..
16 x 24 â€“ 8 x 24 = â€¦â€¦.. â€“ â€¦â€¦â€¦.. = â€¦â€¦â€¦..
Is (16 â€“ 8) x 24 = 16 x 24 â€“ 8 x 24? â€¦â€¦â€¦â€¦..
Is the type of result always true? â€¦â€¦â€¦â€¦.
Name the property used here â€¦â€¦â€¦â€¦â€¦â€¦

Solution:

(16 â€“ 8) Ã— 24 = 8 Ã— 24 = 192

16 Ã— 24 â€“ 8 Ã— 24 = 384 â€“ 192 = 192

Is (16 â€“ 8) Ã— 24 = 16 Ã— 24 â€“ 8 Ã— 24? Yes

Is the type of result always true? Yes

Name the property used here Distributive property.