HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1

Haryana State Board HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 Textbook Exercise Questions and Answers.

Haryana Board 7th Class Maths Solutions Chapter 9 Rational Numbers Exercise 9.1

Question 1.
List five rational number between :
(i) – 1 and 0 (ii) – 2 and – 1
(iii) \(\frac{-4}{5}\) and \(\frac{-2}{3}\)
(iv) \(\frac{1}{2}\) and \(\frac{2}{3}\)
Solution:
(i) Let us write – 1 and 0 as rational number with denominator 6.
We have, – 1 = \(\frac{-6}{6}\), 0 = \(\frac{0}{6}\)
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 1

(ii) Let us write -2 and -1 as rational number with denominator 6.
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 2
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 3

HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1

Question 2.
Write four more rational number in each of the following patterns:
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 4
Solution:
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 5
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 6

HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1

Question 3.
Give four rational numbers equivalent to —
(i) \(\frac{-2}{7}\)
(ii) \(\frac{5}{-3}\)
(iii) \(\frac{4}{9}\)
Solution:
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 7
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 8
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 9

Question 4.
Draw the number line and represent the following rational number on it:
(i) \(\frac{3}{4}\)
(ii) \(\frac{-5}{8}\)
(iii) \(\frac{-7}{4}\)
(iv) \(\frac{7}{8}\)
Solution:
(i) \(\frac{3}{4}\) Let us represent the rational number \(\frac{3}{4}\) on the number line.
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 10

(ii) \(\frac{-5}{8}\). Let us represent the rational number \(\frac{-5}{8}\) on the number line.
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 11

(iii) \(\frac{-7}{4}\). Let us represent the rational number \(\frac{-7}{4}\) on the number line.
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 12

(iv) \(\frac{7}{8}\). Let us represent the rational number \(\frac{7}{8}\) on the number line.
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 13

HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1

Question 5.
The point 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.
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 14
Solution:
The point P, Q, R, S on this number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R, S.
Now,
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 15

Question 6.
Which of the following pairs represent the same rational number?
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 16
Solution:
\(\frac{-7}{21} \text { and } \frac{3}{9}\)
We multiply the numerator and denominator of the first number by the denominator of the second, we have,
\(\frac{-7}{21}=\frac{-7 \times 9}{21 \times 9}=\frac{-63}{189}\)
Again we multiply the numerator and denominator of the second number by the denominator of the first, we have,
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 17

(ii) \(\frac{-16}{20} \text { and } \frac{20}{25}\)
We multiply the numerator and denominator of the first number by the denominator of the second, we have,
\(\frac{-16 \times 25}{20 \times 25}=\frac{-400}{500}\)
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 18
Again we multiply the numerator and denominator of the second number by the denominator of the first, we have,
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 19

(iv) \(\frac{-3}{5} \text { and } \frac{-12}{20}\)
We multiply the numerator and denominator of the first number by the denominator of second, we have -2 -2×3 -6
\(\frac{-3}{5}=\frac{-3 \times 20}{5 \times 20}=\frac{-60}{100}\)
Again we multiply the numerator and denominator of the second number by the denominator of the first, we have
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 20

(v) \(\frac{8}{-5} \text { and } \frac{-24}{15}\)
We multiply the numerator and denominator of the first number by the denominator of second, we have,
\(\frac{8}{-5}=\frac{8 \times 15}{-5 \times 15}=\frac{120}{-75}\)
Again we multiply the numerator and denominator of the second number by the denominator of the first, we have,
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 21

(vi) \(\frac{1}{3} \text { and } \frac{-1}{9}\)
We multiply the numerator and denominator of the first number by the denominator of the second, we have,
\(\frac{1}{3}=\frac{1 \times 9}{3 \times 9}=\frac{9}{27}\)
Again we multiply the numerator and denominator of the second number by the denominator of the first, we have,
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 22

(vii) \(\frac{-5}{-9} \text { and } \frac{5}{-9}\)
We multiply the numerator and denominator of the first number by the denominator of the second, we have,
\(\frac{-5}{-9}=\frac{-5 \times-9}{-9 \times-9}=\frac{45}{81}\)
Again we multiply the numerator and denominator of the second number by the denominator of the first, we have,
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 23

HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1

Question 7.
Rewrite the following rational number in the simplest form :
(i) \(\frac{-8}{6}\)
(ii) \(\frac{25}{45}\)
(iii) \(\frac{-44}{72}\)
(iv) \(\frac{-8}{10}\)
Solution:
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 24

Question 7.
Fill in the boxes with the correct symbol out of >,<. and =.
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 25
Solution:
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 26
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 27

Question 9.
Which is the greater in each of the following:
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 28
Solution:
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 29 HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 30

HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1

Question 10.
Write the following rational numbers in ascending order:
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 33
Solution:
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 31
HBSE 7th Class Maths Solutions Chapter 9 Rational Numbers Ex 9.1 32

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