DAV Class 7 Maths Chapter 1 Worksheet 5
Rational Numbers Worksheet 5
1. State whether the following statements are true. If not, justify your answer.
(i) On a number line, all the numbers ot the right of zero are positive.
Answer True
(ii) Rational number \( \displaystyle \frac{-7}{-19} \) lies to the left of zero on the number line.
Answer False
The rational number \( \displaystyle\frac{-7}{-19} = \frac{7}{19} \) which is positive and lies on the right side
(iii) On a number line, numbers become progressively larger as we move away from zero.
Answer False
Because -2 < -1 and -3 < -2 and so on.
(iv) Rational numbers \( \displaystyle \frac{2}{3} \) and \( \displaystyle \frac{-2}{3} \) are at equal distance from zero.
Answer True
(v) On a number line, number lying left to a given number is greater.
Answer False
Because 3 < 4 and - 4 < - 5 and so on.
2. Mark the following rational numbers on number line.
(i) \( \displaystyle \frac{4}{5} \)
Answer
(ii) \( \displaystyle \frac{-8}{3} \)
Answer
(iii) \( \displaystyle \frac{5}{2} \)
Answer
(iv) \( \displaystyle \frac{-7}{3} \)
Answer
3. Represent the folowing rational numbers on a number line.
(i) \( \displaystyle \frac{-3}{5} \)
Answer
(ii) \( \displaystyle \frac{2}{-3} \)
Answer
Standard form \( \displaystyle = \frac{-2}{3} \)
(iii) \( \displaystyle \frac{3}{4} \)
Answer
(iv) \( \displaystyle \frac{-4}{-7} \)
Answer
Standard form \( \displaystyle = \frac{4}{7} \)