The DAV Class 7 Maths Book Solutions Pdf and DAV Class 7 Maths Chapter 1 Worksheet 4 Solutions of Rational Numbers offer comprehensive answers to textbook questions.
DAV Class 7 Maths Ch 1 WS 4 Solutions
Question 1.
Find the absolute value of the following rational numbers.
(i) \(\frac{-1}{5}\)
Answer:
Absolute value of \(\frac{-1}{5}=\left|\frac{-1}{5}\right|=\frac{1}{5}\)
(ii) \(\frac{7}{9}\)
Answer:
Absolute value of \(\frac{7}{9}=\left|\frac{7}{9}\right|=\frac{7}{9}\)
(iii) \(\frac{0}{-4}\)
Answer:
Absolute value of \(\frac{0}{-4}=\left|\frac{0}{-4}\right|=\frac{0}{4}\) = 0
(iv) \(\frac{-3}{-2}\)
Answer:
Absolute value of \(\frac{-3}{-2}=\left|\frac{-3}{-2}\right|=\frac{3}{2}\)
Question 2.
Compare the absolute values of the rational numbers in the following pairs:
(i) \(\frac{3}{-7}, \frac{-3}{7}\)
Answer:
Absolute values of \(\frac{3}{-7}, \frac{-3}{7}\) are \(\left|\frac{3}{-7}\right|,\left|\frac{-3}{7}\right|\)
⇒ \(\frac{3}{7}, \frac{3}{7}\)
(ii) \(\frac{-5}{7}, \frac{4}{3}\)
Answer:
Absolute values of \(\frac{-5}{7}, \frac{4}{3}\) are \(\left|\frac{-5}{7}\right|,\left|\frac{4}{3}\right|\)
= \(\frac{5}{7}, \frac{4}{3}\)
(iii) \(\frac{-4}{5}\), -3
Answer:
Absolute values of \(\frac{-4}{5}\), -3 are \(\left|\frac{-4}{5}\right||-3|\)
= \(\frac{4}{5}\), 3
Question 3.
Find all the rational numbers whose absolute value is
(i) \(\frac{2}{5}\)
Answer:
\(\frac{-2}{5}, \frac{2}{-5}, \frac{-2}{-5}\)
(ii) 0
Answer:
\(\frac{0}{-4}, \frac{0}{4}, \frac{0}{1}, \frac{0}{-1}\)
(iii) \(\frac{3}{4}\)
Answer:
\(\frac{-3}{4}, \frac{3}{-4}, \frac{-3}{-4}\)