(a) Every natural number is a rational number but every rational number needs not be a natural number

(b) Zero is a rational number.

(c) Every rational number is a whole number.

(d) Two rational numbers with difference numerators can't be equal.

(e) Every fraction is a rational number.

(f) Sum of two rational numbers is always a rational number.

(g) The rational number $\frac {-3}{5}$ lies to the right of zero on the number line.

(h) Every natural number is a rational number but every rational number need not be a natural number.

(i) $\frac {2}{4}$ is equivalent to $\frac {4}{8}$

(j) The rational numbers $\frac {-11}{-12}$ and $\frac {-7}{8}$ are on the opposite sides of zero on the number line

Solution

(a) A rational number $\frac{p}{q}$ is said to be in the lowest form if p and q have no __________

(b) The rational number $\frac {- 12}{-17}$ Lies to the ____________ of zero on the number line.

(c) If $\frac{p}{q}$ is a rational number, then q can't be ___________

(d) Two rational numbers with different numerators are equal, if their numerators are in the same ______________ as their denominators.

(e) Two rational numbers are equal if they have the same __________ form.

(f) A rational number $\frac{p}{q}$ is negative if p & q are of __________ sign.

(g) If the product of two non-zero rational number is 1, then they are ______________ of each other.

(h) Between any two distinct rational numbers there are ___________ rational numbers.

(i) Additive inverse of $\frac {2}{3}$ is ______.

(j) The reciprocal of ______ does not exist.

Solution

By what number should we multiply $\frac {-8}{15}$ , so that the product may be 24.

Solution

What should be subtracted from $\frac {-3}{4}$ so as to get $\frac{5}{9}$ ?

Solution

Subtract $\frac {-3}{8}$ from $\frac {-5}{7}$

Solution

The cost of $4\frac{1}{2}$ meters of cloth is Rs. $85\frac{1}{2}$ find the cost of one meter cloth.

Solution

Simplify $(\frac {-5}{8} \times \frac {3}{7} \times \frac {4}{-15})+(\frac {4}{7} \times \frac {-21}{8})$.

Solution

A stairway consists of 14 stairs, each $32\frac{5}{7}$ cm high. What is the vertical height of the stairways ?

Solution

Arrange the rational numbers $\frac {-7}{10}$,$\frac {5}{-8}$,$\frac {2}{-3}$ in the ascending order.

Solution

Which of the following rational numbers is equal to its reciprocal?

(a) 1

(b) 2

(c) $\frac {1}{2}$

(d) 0

Which is greater number in the following:

(a) $\frac {-1}{5}$

(b) 0

(c) $\frac {1}{5}$

(d) -5

Which is lowest number in the following:

(a) $\frac {-1}{2}$

(b) 0

(c) $\frac {1}{2}$

(d) -2

Match the Column

(a) a -> ii , b -> iii , c -> iv , d -> i

(b) b -> ii , a -> iii , c -> iv , d -> i

(c) a -> ii , b -> iii , c -> i , d -> iv

(d) a -> i , b -> iii , c -> iv , d -> ii

To reduce a rational number to its standard form, we divide its numerator and denominator by their

(a) LCM

(b) HCF

(c) product

(d) multiple

Solution 10-14

**Notes****Assignments**

Class 7 Maths Class 7 Science