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

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.
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RD Sharma Solutions: Exercise 1.2 - Number System

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

(i)

(ii)

(iii)

Proof: (i) Given rational number is

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

Hence,

(ii) Given rational number is

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

Hence,

(iii) Given rational number is

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

Hence,  = 3.75

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

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Proof: (i) Given rational number is

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

Therefore  = 0.6666

Hence,

(ii) Given rational number is

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

Therefore,  = 0.444

Hence,

(iii) Given rational number is

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

Therefore  = 0.1333

Hence,

(iv) Given rational number is

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

Therefore  =

Hence,

(v) Given rational number is

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

Hence,

(vi) Given rational number is

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

Therefor  =

Hence,

Q.3. Look at several examples of rational numbers in the form  (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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Mathematics (Maths) Class 9

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