RBSE Solutions for Class 7 Maths Chapter 4 Rational Numbers In Text Exercise is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 4 Rational Numbers In Text Exercise.
| Board | RBSE |
| Textbook | SIERT, Rajasthan |
| Class | Class 7 |
| Subject | Maths |
| Chapter | Chapter 4 |
| Chapter Name | Rational Numbers |
| Exercise | In Text Exercise |
| Number of Questions | 15 |
| Category | RBSE Solutions |
Rajasthan Board RBSE Class 7 Maths Chapter 4 Rational Numbers In Text Exercise
(Page 50)
Question
Think and tell is \(\frac { -3 }{ 7 }\) a rational (RBSESolutions.com) number?
Solution:
Yes, \(\frac { -3 }{ 7 }\) is a negative rational number.
Question
Think is \(\frac { -3 }{ -5 }\) a rational number?
Solution:
Yes, \(\frac { -3 }{ -5 }\) is a rational number (RBSESolutions.com) because every fraction is a rational number.
Do and Learn
(Page 50)
Question
Write the rational numbers in which :
(1) Numerator is a negative integer (RBSESolutions.com) and denominator is a positive integer.
Solution:
\(\frac { -2 }{ 3 } ,\frac { -3 }{ 4 } ,\frac { -11 }{ 15 } ,\quad …………\)
(2) Numerator is a positive integer and denominator is a negative integer.
Solution:
\(\frac { 13 }{ -17 } ,\frac { 2 }{ -3 } ,\frac { 3 }{ -5 } ,\quad …………\)
(3) Both numerator and (RBSESolutions.com) denominator are positive integers.
Solution:
\(\frac { 3 }{ 8 } ,\frac { 4 }{ 11 } ,\frac { 4 }{ 9 } ,\quad …………\)
(4) Both numerator and denominator are negative integers.
\(\frac { -2 }{ -3 } ,\frac { -4 }{ -5 } ,\frac { -12 }{ -13 } ,\quad …………\)
(Page 51)
Question
Fill in the blanks :
Solution:
On multiplying (RBSESolutions.com) numerator and denominator by 2 in \(\frac { 2 }{ 3 }\).
On multiplying Nr and Dr both by 4 in \(\frac { 2 }{ 3 }\)
On multiplying Nr and Dr both (RBSESolutions.com) by 8 in \(\frac { 2 }{ 3 }\)
From (1), (2), (3) and (4)
On multiplying (RBSESolutions.com) Nr and Dr both by 2 in \(\frac { 5 }{ 7 }\)
On multiplying Nr and Dr both by 5 in \(\frac { 5 }{ 7 }\)
On multiplying Nr and Dr both (RBSESolutions.com) by 9 in \(\frac { 5 }{ 7 }\)
On multiplying Nr and Dr both by 20 in \(\frac { 5 }{ 7 }\)
On (RBSESolutions.com) dividing Nr and Dr both by 5 in \(\frac { 25 }{ 50 }\)
On multiplying both Nr and Dr by 25 in \(\frac { 25 }{ 50 }\)
On multiplying Nr and Dr both (RBSESolutions.com) by 3 in \(\frac { 25 }{ 50 }\)
On multiplying Nr and Dr by 10 in \(\frac { 25 }{ 50 }\)
(Page 52)
Question 1
Write three positive (RBSESolutions.com) rational numbers.
Solution:
Three positive rational numbers are \(\frac { 2 }{ 3 }\), \(\frac { 3 }{ 7 }\), \(\frac { 5 }{ 8 }\)
Question 2
Write two negative rational numbers.
Solution:
Three negative rational numbers are –\(\frac { -3 }{ 7 }\), \(\frac { -1 }{ 3 }\)
Question 3
Is –\(\frac { -15 }{ -1 }\) a positive (RBSESolutions.com) rational number? (Justify the answer)
Solution:
We know that \(\frac { -15 }{ -1 }\) = –\(\frac { 15 }{ 1 }\),
where Nr and Dr both are positive.
So, = –\(\frac { -15 }{ -1 }\) is a positive rational number.
Question 4
Is – 7 a negative rational number? (Justify the answer)
Solution:
we know -7 = \(\frac { -7 }{ 1 }\) ,
where – 7 is negative and 1 is a positive integer.
∴ – 7 is a negative rational number.
Question 5
Which of the following (RBSESolutions.com) numbers are positive rational numbers?
Solution:
Positive rational numbers are
(Page 53)
Question
Denote the following rational (RBSESolutions.com) numbers on number line –
Solution:
(i)
Here 4 equal parts are done between -1 and -2. Taking 1 more part from it, In left side of 0 ?
This total part represents \(\frac { -5 }{ 4 }\) on number line.
Here 2 equal parts are done (RBSESolutions.com) between -3 and – 4. Taking 1 more part from it in left side from 0, this total part represents \(\frac { -7 }{ 2 }\).
Here 3 equal parts are done between – 3 and – 4 taking 2 more parts from it, in left side of 0, this total part represents \(\frac { -11 }{ 3 }\).
Here 5 equal parts are done (RBSESolutions.com) between 0 and 5. Taking 2 parts from it, in right side of 0, this total part represents \(\frac { 2 }{ 5 }\).
Here 3 equal parts are done between 1 and 2. Taking 1 more part from it, in right side of 0, This total part represents \(\frac { 4 }{ 3 }\) on number line.
(Page 54)
Question
Convert the following in to (RBSESolutions.com) the simplest form :
Solution:
(Page 55)
Question
Compare the (RBSESolutions.com) numbers \(\frac { -3 }{ 4 }\) & \(\frac { -2 }{ 3 }\) and \(\frac { -1 }{ 3 }\) & \(\frac { -1 }{ 5 }\).
Solution:
Because on number (RBSESolutions.com) line \(\frac { -3 }{ 4 }\), \(\frac { -2 }{ 3 }\) are in left side of 0.
∴ \(\frac { -2 }{ 3 }\) greater than \(\frac { -3 }{ 4 }\)
Because on number line \(\frac { -1 }{ 3 }\) and \(\frac { -1 }{ 5 }\) are in Left side of 0,
∴\(\frac { -1 }{ 5 }\) is greater than\(\frac { -1 }{ 3 }\)
∴ \(\frac { -1 }{ 5 }\) > \(\frac { -1 }{ 3 }\)
(Page 55)
Question
Which rational number (RBSESolutions.com) is greater?
Solution:
(1) L.C.M of 8 and 7 = 8 x 7 = 56
(2)L.C.M of 5 and 3 = 5 x 3 = 15
(3) L.C.M of 6 and 8 = 24
(Page 56)
Question
\(\frac { 4 }{ -9 }\) and \(\frac { -20 }{ 45 }\) denote same (RBSESolutions.com) rational number?
Solution:
Yes, these represent the same rational number.
(Page 57)
Question
(i) Find five rational numbers (RBSESolutions.com) between \(\frac { -5 }{ 7 }\) and \(\frac { -3 }{ 8 }\)
(ii) Find five rational numbers between \(\frac { -5 }{ 3 }\) and \(\frac { -8 }{ 7 }\)
Solution:
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