NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

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Class 8 : NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

The document NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev is a part of the Class 8 Course Class 8 Mathematics by VP Classes.
All you need of Class 8 at this link: Class 8

TRY THESE
Ques 1: Write the rational number for each point labelled with a letter.

NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev
NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev 

Ans: 
(i) Here, the rational number for the point A is 1/5
The rational number for the point B is 4/5
The rational number for the point C is 5/5 or 1
The rational number for the point D is 8/5
The rational number for the point E is 9/5

(ii) The rational number for:
The point is F -2/6 or 1/3
The point G is -5/6
The point H is -7/6
The point I is -8/6 or -43
The point J is -11/6

EXERCISE 1.2

Ques 1: Represent these numbers on the number line.

(i) 7/4
(ii) -5/6

Ans: 
(i) To represent 7/4, we make 7 markings each of a distance equal to 1/4 on the right of 0. The 7th point represents the rational number 7/4 as shown in the figure.

NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev
The point A is 7/4
(ii) To represent (-5/6)  on the number line, we make 5 markings each of a distance equal to 1/6 on the left of 0. We consider the 5th point as shown in the figure.

NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev
The point B represents (-5/6)

Ques 2: Represent  -2/11, -5/11, -9/11 on the number line.

Ans: To represent -2/11, -5/11, -9/11 on a number line, we make 11 markings each being equal to distance 1/11  on the left of 0.

NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

The point A represents (-2/11)
The point B represents (-5/11)
The point C represents (-9/11)

Ques 3: Write five rational numbers which are smaller than 2.

Ans: There can be unlimited rational numbers below 2.
Five of them are:
-1/2, -1, 0, 1/2, 1

Ques 4: Find ten rational numbers between -2/5 and 1/2

Ans: To convert -2/5 and 1/2 having the same denominators:

We have,
NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

and,
NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

∴ The rational numbers between 10/20 and -8/20

NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

We can take any 10 of them.

∴ Ten rational numbers between -2/5 and 1/2 are:
 9/20, 8/20, 7/20, 6/20, 5/20, 4/20, 3/20, 2/20, 1/20, 0

Ques 5: Find five rational numbers between:

(i) 2/3 and 4/5
(ii) -3/2 and 5/3
(iii) 1/4 and 1/3

Ans: 
(i) Converting 2/3 and 4/5 having same denominators such that difference between the numerators is more than 5.

We have,
NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

and,
 NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

Now, any five rational numbers between  40/60 and 48/60 are:
41/60, 42/60, 43/60, 44/60, 45/60

(ii) Converting -3/2 and 5/3  with same denominators
We have,
NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev
and,
 NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

∴ Five rational numbers between -3/2 and 5/3 are:
9/6, 8/6, 7/6, 0, -7/6.

(iii) Converting 1/4 and 1/2 to rational numbers with the same denominators, we have

NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev
∴ Five rational numbers between 1/4 and 1/2 are:
 15/32, 14/32, 13/32, 12/32, 11/32.

Ques 6: Write five rational numbers greater than -2.

Ans: Five rational numbers greater than -2 are:
-3/2, -1, -1/2, 0, 1/2.
Note: There can be countless rational numbers greater than -2.

Ques 7: Find ten rational numbers between 3/5 and 3/4
Ans: Converting 3/5 and 3/4 such that they have common denominators and their numerators have a difference of more than 10, i.e.

NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev
and,
NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

∴ Ten rational numbers between 3/5 and 3/4 are 

NCERT Solutions(Part- 2)- Rational Numbers Class 8 Notes | EduRev

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