Chapter 9 Rational Numbers
Exercise 9.1
Ex 9.1 Class 7 Maths
Question 1.
List five rational numbers between:
(i) -1 and 0
(ii) -2 and -1
(iii)
(iv)
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
(ii) -2 and -1
Converting each of rational numbers as a denominator 5 + 1 = 6, we have
(iii)
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)
Converting each of the rational numbers in their equivalent rational numbers,
we have
Ex 9.1 Class 7 Maths
Question 2.
Write four more rational numbers in each of the following patterns:
Solution:
Ex 9.1 Class 7 Maths
Question 3.
Give four rational numbers equivalent to:
Ex 9.1 Class 7 Maths
Question 4.
Draw a number line and represent the following rational numbers on it:
Solution:
Ex 9.1 Class 7 Maths
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.
Ex 9.1 Class 7 Maths
Question 6.
Which of the following pairs represent the same rational number?
Solution:
Ex 9.1 Class 7 Maths
Question 7.
Rewrite the following rational numbers in the simplest form:
Solution:
Ex 9.1 Class 7 Maths
Question 8.
Fill in the boxes with the correct symbol out of >, < and =.
Solution:
Ex 9.1 Class 7 Maths
Question 9.
Which is greater in each
of the following:
Solution:
Ex 9.1 Class 7 Maths
Question 10.
Write the following rational numbers in ascending order:
Solution: