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Class 7 (Mathematics)
(NCERT Textbook : Mathematics)
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NCERT Solutions
Ch_9 Rational Numbers
Chapter Solutions
Question 1. List five rational numbers between:
(i) -1 and 0
(ii) -2 and -1
(iii) −45 and −23
(iv) 12 and 23
Solution:
(i) -1 and 0
Converting each of rational numbers as a denominator 5 + 1 = 6, we have
Hence, the required five rational numbers between -1 and 0 are −56,−23,−12,−13 and −16
(ii) -2 and -1
Converting each of rational numbers as a denominator 5 + 1 = 6, we have
(iii) −45 and −23
Converting each of the rational numbers as a denominator 5 × 3 = 15, we have
Since there is only one integer i.e. -11 between -12 and -10, we have to find equivalent rational numbers.
(iv) 12 and 23
Converting each of the rational numbers in their equivalent rational numbers,
we have
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Question 2. Write four more rational numbers in each of the following patterns:
Solution:
Question 3. Give four rational numbers equivalent to:
Solution:
Question 4. Draw a number line and represent the following rational numbers on it:
Solution:
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:
Rational numbers represented by P, Q, R and S.73,83,−43 and −53 respectlvely.
Question 6. Which of the following pairs represent the same rational number?
Solution:
Question 7. Rewrite the following rational numbers in the simplest form:
Solution:
Question 8. Fill in the boxes with the correct symbol out of >, < and =.
Solution:
Question 9. Which is greater in each of the following:
Solution:
Question 10. Write the following rational numbers in ascending order:
Solution:
Exercise 9.2
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