KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1

Students can Download Chapter 9 Rational Numbers Ex 9.1, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations.

Karnataka State Syllabus Class 7 Maths Chapter 9 Rational Numbers Ex 9.1

Question 1.
List five rational numbers between:
a) -1 and 0
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 1
we see that
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 2
∴ Five rational numbers between -1 and 0 are
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 3

ii) -2 and -1
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 4
we see that
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 5
∴ Five Rational Numbers between -2 and -1 are
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 6

iii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 7
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 8
we see that
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 9
Thus five rational numbers between
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 10

iv) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 11
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 12
we see that
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 14
Thus 5 Rational Numbers in between \(\frac{1}{2}\) and \(\frac{2}{3}\) are
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 13

KSEEB Solutions

Question 2.
Write four more rational numbers in each of the following patterns :
i) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 15
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 16
Thus we came to know the pattern in the above numbers ie., both numerator and denominator should be multiplied by same whole number.
∴ The four more rational numbers would be
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 17

ii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 18
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 19
Thus we observe the pattern in these numbers.
The other numbers would be,
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 20

 

iii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 21
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 22
Thus we observe the pattern in these numbers. The other numbers would be,
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 23

iv)

KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 24
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 25
Thus we observe the pattern in these numbers
The other numbers would be
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 26

KSEEB Solutions

Question 3.
Give four rational numbers equivalent to :
i) \(\frac{-2}{7}\)
Four rational numbers equivalent to \(\frac{-2}{7}\) are
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 27

ii) \(\frac{5}{-3}\)
Four rational numbers equivalent to \(\frac{5}{-3}\) are
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 28

iii) \(\frac{4}{9}\)
Solution:
Four rational numbers equivalent to \(\frac{4}{9}\) are
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 30

Question 4.
Draw the number line and represent the following rational numbers on it :
i) \(\frac{3}{4}\)
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 31

ii) \(\frac{-5}{8}\)
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 32

iii) \(\frac{-7}{4}\)
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 33

iv) \(\frac{7}{8}\)
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 34

Question 5.
The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 35
The rational number represented by
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 36
The rational number represented by
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 37
The rational number represented by
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 38
The rational number represented by
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 39
The rational number represented by P Q R S is equal to KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 40 respectively.

KSEEB Solutions

Question 6.
Which of the following pairs represent the same rational number ?
i) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 400
Solution:
\(\frac{-7}{21}\) is negative rational number and \(\frac{3}{9}\) is a positive Rational Number. Therefore this pair does not represent the same rational number.

ii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 41
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 42
∴ The above pair of numbers represent the same rational number.

iii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 43
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 44
∴ The above pair of numbers represent the same rational number.

iv) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 45
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 46
∴ The above pair of numbers represent the same rational number.

v) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 47
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 48
∴ The above pair of numbers represent the same rational number.

KSEEB Solutions

vi) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 49
Solution:
\(\frac{1}{3}\) is a positive rational number and \(\frac{-1}{9}\) is a negative Rational Number.
Therefore this pair does not represent the same rational number.

vii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 50
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 51 is a positive rational number and \(\frac{5}{-9}\) is a negative rational number.

Question 7.
Rewrite the following rational numbers in the simplest form :

i) \(\frac{-8}{6}\)
The H. C. F of 6 and 8 is 2.
Then its simplest form would be,
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 52

ii) \(\frac{25}{45}\)
The H. C. F of 25 and 45 is 5.
Then its simplest form would be,
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 53

iii) \(\frac{-44}{72}\)
The H. C. F of 44 and 72 is 4.
Then its simplest form would be
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 54

iv) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 55
The H. C. F of 8 and 10 is 2.
Then Its simplest form would be
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 56

Question 8.
Fill in the boxes with the correct symbol out of >, <, and =.

i) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 57
Solution:
\(\frac{-5}{7}\) is a negative rational number
\(\frac{2}{3}\) is a positive rational number.
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 571

ii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 58
Solution:
To make the equal denominator
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 59

iii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 60
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 61

iv) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 62
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 63

v) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 64
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 65

KSEEB Solutions

vi) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 66
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 67

vii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 68
Solution:
0 is greater than the negative numbers,
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 69

Question 9.
Which is greater in each of the following

i) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 70
Solution:
L.C.M of 3 & 2 is 6
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 71

 

ii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 72
L. C. M of 6 and 3 is 6
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 73

iii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 74
Solution:
L. C M of 4 and 3 is 12
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 75

 

iv) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 76
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 77(∵ All positive numbers are greater than all negative numbers.)

v) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 78
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 79

KSEEB Solutions

Question 10.
Write the following rational numbers in ascending order :
i) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 80
-3 < -2 < -1
∴ Ascending Order is KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 800

ii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 81
Solution:
L. C. M of 3 & 9 is 9
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 82

iii) KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 83
Solution:
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 84
Denominator same, So the numerators are
-42 < -21 < -12
KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 85

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