RBSE Class 7 Maths Important Questions Chapter 9 Rational Numbers

Rajasthan Board RBSE Class 7 Maths Important Questions Chapter 9 Rational Numbers Important Questions and Answers.

RBSE Class 7 Maths Chapter 9 Important Questions Rational Numbers

Multiple Choice Questions

Question 1.
$\frac{11}{-22}$ is a standard form of:
(a) $\frac{-11}{22}$
(b) $\frac{11}{22}$
(c) $-\frac{11}{22}$
(d) $-\frac{1}{2}$
Answer:
(d) $-\frac{1}{2}$

Question 2.
Reciprocal of - 7 is:
(a) 7
(b) $\frac{1}{7}$
(c) $\frac{-1}{7}$
(d) None of these
Answer:
(c) $\frac{-1}{7}$

Question 3.
-3$\frac{1}{9}$ - 6 = ?
(a) $\frac{82}{9}$
(b) $\frac{-82}{9}$
(c) $\frac{9}{82}$
(d) $\frac{-9}{82}$
Answer:
(b) $\frac{-82}{9}$

Question 4.
Additive inverse of - 5 is:
(a) $\frac{1}{5}$
(b) $\frac{-1}{5}$
(c) 5
(d) -5
Answer:
(c) 5

Question 5.
Multiplicative iñrerse of $\frac{-3}{2}$ is:
(a) $\frac{3}{2}$
(b) $\frac{2}{3}$
(c) $\frac{-2}{3}$
(d) 3
Answer:
(c) $\frac{-2}{3}$

Question 6.
2 ÷ $\frac{1}{2}$ = ?
(a) 1
(b) -4
(c) 4
(d) None of these
Answer:
(c) 4

Fill in the Blanks:

Question 1.
0 is ________ than all negative rational numbers.
Answer:
Greater

Question 2.
On number line can be located towards the ________ side of zero.
Answer:
Left

Question 3.
Product of a number and in reciprocal is ________
Answer:
1

Question 4.
Sum of a number and its additive inverse is ________
Answer:
0

State whether True or False

Question 1.
0 is the smallest rational number.
Answer:
False

Question 2.
$\frac{1}{2}$ is greater than $-\frac{1}{2}$.
Answer:
True

Question 3.
If p and q are both negative then is a positive rational number.
Answer:
True

Question 4.
Product of two rational numbers is always a rational number.
Answer:
True

Very Short Answer Type Questions

Question 1.
Find standard form of $\frac{-36}{90}$.
Answer:
HCF of 36 and 90 = 18
$\frac{-36}{90}$ = $\frac{(-36) \div 18}{90 \div 18}=\frac{-2}{5}$
Thus, standard form of $\frac{-36}{90}$ is $\frac{-2}{5}$

Question 2.
Draw the number line and represent  and on it (on same number line).
Answer:

Question 3.
Simplify : $\frac{-8}{13} \times \frac{39}{-4}$
Answer:

Short Answer Type Questions

Question 1.
Find four rational numbers between $\frac{3}{7}$ and $\frac{5}{9}$.
Answer:
L.C.M of 7 and 9 = 63
∴ $\frac{3}{7}=\frac{3 \times 9}{7 \times 9}=\frac{27}{63}$ and $\frac{5}{9}=\frac{5 \times 7}{9 \times 7}=\frac{35}{63}$
∴ Rational no. between $\frac{27}{63}$ and $\frac{35}{63}$ are $\frac{28}{63}, \frac{29}{63}, \frac{30}{63}, \frac{31}{63}$
Thus, four rational numbers between $\frac{3}{7}$ and $\frac{5}{9}$ are $\frac{28}{63}, \frac{29}{63}, \frac{30}{63}, \frac{31}{63}$

Question 2.
Find greater rational number out of $\frac{-3}{4}$ and $\frac{-7}{3}$
Answer:
LCM of 4 and 3 = 12

Question 3.
Add $\frac{-3}{8}$ and $\frac{-5}{12}$
Answer:
$\frac{(-3)}{8}+\frac{(-5)}{12}$
LCM of 8 and 12 = 24

Question 4.
Subtarct $\frac{-5}{7}$ from $\frac{-2}{5}$
Answer:
$\frac{-2}{5}-\left(\frac{-5}{7}\right)$
LCM of 5 and 7 = 35