RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Mathematics (Maths) Class 9

Class 9 : RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

The document RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9

RD Sharma Solutions: Exercise 1.2 - Number System


Q.1. Express the following rational numbers as decimals:

(i) RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(ii) RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(iii)RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Proof: (i) Given rational number is RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev 

Now we have to express this rational number into decimal form. So we will use long division method as below.

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Hence, RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(ii) Given rational number is RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Now we have to express this rational number into decimal form. So we will use long division method as below.

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Hence,RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(iii) Given rational number is RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Now we have to express this rational number into decimal form. So we will use long division method as below.

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Hence, RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev = 3.75


Q.2. Express the following rational numbers as decimals:

(i) RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(ii) RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(iii) RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(iv) RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(v) RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(vi) RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Proof: (i) Given rational number is  RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Now we have to express this rational number into decimal form. So we will use long division method 

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Therefore RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev = 0.6666

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Hence, RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(ii) Given rational number is  RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Now we have to express this rational number into decimal form. So we will use long division method 

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Therefore, RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev = 0.444

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Hence, RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(iii) Given rational number is RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Now we have to express this rational number into decimal form. So we will use long division method
RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Therefore RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev = 0.1333

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Hence, RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(iv) Given rational number is RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Now we have to express this rational number into decimal form. So we will use long division method

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Therefore RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev = RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev 

Hence, RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(v) Given rational number is RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Now we have to express this rational number into decimal form. So we will use long division method
RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Hence, RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

(vi) Given rational number is RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Now we have to express this rational number into decimal form. So we will use long division method
RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Therefor RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev = RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev

Hence, RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev


Q.3. Look at several examples of rational numbers in the form RD Sharma Solutions: Number System- 2 Class 9 Notes | EduRev (q ≠0), where p and q are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property q must satisfy?

Proof: Prime factorization is the process of finding which prime numbers you need to multiply together to get a certain number. So prime factorization of denominators (q) must have only the power of 2 or 5 or both. 

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