RBSE Solutions for Class 7 Maths Chapter 9 Rational Numbers Intext Questions

Rajasthan Board RBSE Solutions for Class 7 Maths Chapter 9 Rational Numbers Intext Questions Textbook Exercise Questions and Answers.

RBSE Class 7 Maths Solutions Chapter 9 Rational Numbers Intext Questions

(Try These - Page 174)

Question 1.
Is the number jq rational? Think about it.
Answer:
Yes, \(\frac{2}{-3}\) is a rational number as it is in the form of \(\frac{p}{q}\) and q ≠ 0

Question 2.
List ten rational numbers.
Answer:
Any examples like \(\frac{2}{3}, \frac{-4}{5}, \frac{6}{7}, \frac{8}{5}, \frac{-9}{2}, \frac{6}{15}, \frac{1}{2}, \frac{1}{4}, \frac{-1}{6}, \frac{-2}{9}\)

(Try These - Page 175)

Question 1.
Fill in the boxes:

Answer:

Answer:

(Try These - Page 175)

Question 1.
Is 5 a positive rational number?
Answer:
Yes, 5 is a positive rational number because 5 can be written as \(\frac{5}{1}\) where both numerator and denominator are positive.

Question 2.
List five more positive rational numbers.
Answer:
Any examples like \(\frac{2}{3}, \frac{6}{1}, \frac{3}{7}, \frac{2}{7}, \frac{1}{6}\) etc.

(Try These - Page 176)

Question 1.
Is - 8 a negative rational number?
Answer:
Yes, - 8 is a negative rational number because - 8 can be written as \(\frac{-8}{1}\) where both numerator and denominator are negative.

Question 2.
List five more negative rational numbers.
Answer:
Any examples like \(\frac{-2}{3}, \frac{3}{-7}, -7, \frac{-4}{9}, \frac{-3}{4}\) etc

Question 3.
Which of these are negative rational numbers?
(i) \(\frac{-2}{3}\)
(ii) \(\frac{5}{7}\)
(iii) \(\frac{3}{-5}\)
(iv) 0 
(v) \(\frac{6}{11}\)
(vi) \(\frac{-2}{-9}\)
Answer:
(i) \(\frac{-2}{3}\) and (iii) \(\frac{3}{-5}\) are negative rational numbers.

(Try These - Page 178)

Question 1.
Find standard form of:
(i) \(\frac{-18}{45}\)
Answer:
\(\frac{-18}{45}=\frac{-18 \div 9}{45 \div 9}=\frac{-2}{5}\)

(ii) \(\frac{-12}{18}\)
Answer:
\(\frac{-12}{18}=\frac{-12 \div 6}{18 \div 6}=\frac{-2}{3}\)

(Try These - Page 181)

Question 1.
Find five rational numbers between \(\frac{-5}{7}\) and \(\frac{-3}{8}\)
Answer:
Write and with same denominator.
LCM of 7 and 8 = 56
\(\frac{-5}{7} \times \frac{8}{8}=\frac{-40}{56}\)
\(\frac{-3}{8} \times \frac{7}{7}=\frac{-21}{56}\)
Rational numbers between \(\frac{-5}{7}\) are \( \frac{-3}{8}\)
\(\frac{-22}{56}, \frac{-23}{56}, \frac{-24}{56}, \frac{-25}{56}, \frac{-26}{56}\), ..................................

(Try These - Page 185)

Question 1.
Find: (i) \(\frac{-13}{7}+\frac{6}{7}\)
Answer:
\(\frac{-13}{7}+\frac{6}{7}=\frac{-13+6}{7}=\frac{-7}{7}\) = -1

(ii) \(\frac{19}{5}+\left(\frac{-7}{5}\right)\)
Answer:
\(\frac{19}{5}+\left(\frac{-7}{5}\right)=\frac{19+(-7)}{5}=\frac{19-7}{5}=\frac{12}{5}=2 \frac{2}{5}\)

Question 2.
Find : (i) \(\frac{-3}{7}+\frac{2}{3}\)
Answer:
LCM of 7 and 3 = 21

(ii) \(\frac{-5}{6}+\frac{-3}{11}\)
Answer:
LCM of 6 and 11 = 66

(Try These - Page 186)

Question 1.
What will be the additive inverse of \(\frac{-3}{9}, \frac{-9}{11}, \frac{5}{7}\)?
Answer:
Additive inverse of \(\frac{-3}{9}\) is \(\frac{3}{9}.\)
Additive inverse of \(\frac{-9}{11}\) is \(\frac{9}{11}\)
Additive inverse of \(\frac{5}{7}\)  is \(\frac{-5}{7}\)

(Try These - Page 187)

Question 1.
Find:
(i) \(\frac{7}{9}-\frac{2}{5}\)
Answer:
LCM of 9 and 5 = 45

(ii) 2 \(\frac{1}{5}-\frac{(-1)}{3}\)
Answer:

(Try These - Page 188)

Question 1.
What will be :
(i) \(\frac{-3}{5}\) × 7 =?
(ii) \(\frac{-6}{5}\) × (-2) =?
Answer:

(Try These - Page 189)

Question 1.
What will be the reciprocal of \(\frac{-6}{11}\) and \(\frac{-8}{5}\)?
Answer:
(i) Reciprocal of  is \(\frac{-6}{11}\) is \(\frac{-11}{6}\)
(ii) Reciprocal of  is \(\frac{-8}{5}\) is \(\frac{-5}{8}\)

(Try These - Page 190)

Question 1.
Find: (i) \(\frac{2}{3} \times \frac{-7}{8}\)
(ii) \(\frac{-6}{7} \times \frac{5}{7}\)
Answer: