ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Ex 3.2
Question 1.
Draw a number line and represent the following rational numbers on it:
(i) \(\frac { 3 }{ 8 }\)
(ii) \(\frac { -3 }{ 4 }\)
(iii) \(\frac { -7 }{ 8 }\)
(iv) \(\frac { -17 }{ 8 }\)
Solution:
Question 2.
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 respectively.
Solution:
Points P, Q, R, S, T, U, A and B are on numbers line such that TR = RS = SU and AP = PQ = QB.
From the number line, we see that
Question 3.
State whether the following statements are true or false:
(i) The rational number \(\frac { -13 }{ -5 }\) lies to the right of zeroxin the number line.
(ii) The rational numbers \(\frac { -5 }{ -7 }\) and \(\frac { 7 }{ -9 }\) lie on opposite sides of zero on the number line.
(iii) The rational numbers \(\frac { -17 }{ 6 }\) and \(\frac { 8 }{ -15 }\) lie on opposite sides of zero on the number line.
Solution:
On a number line,
On opposite sides is false. (False)
Question 4.
Which of the two rational numbers is greater in each of tl following pairs?
Solution:
Question 5.
Fill in the boxes with the correct symbol out of >, < and =:
Solution:
Question 6.
Arrange the following rational numbers in ascending order:
Solution:
Question 7.
Arrange the following rational numbers in descending order:
Solution:
Question 8.
Insert five rational numbers between:
(i) -3 and -2
(ii) \(\frac { -2 }{ 3 }\) and \(\frac { -1 }{ 3 }\)
Solution:
(i) 5 rational numbers between -3 and -2
\(\frac { -3 }{ 1 }\) , \(\frac { -2 }{ 1 }\)
We have to find 5 rational numbers between -3 and -2
Multiplying by (5 + 1) = 6 to numerator and denominator
Question 9.
Insert five rational numbers between:
(i) \(\frac { -4 }{ 5 }\) and \(\frac { -2 }{ 3 }\)
(ii) \(\frac { -1 }{ 2 }\) and \(\frac { 2 }{ 3 }\)
Solution:
