(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

(a) T

(b) T

(c) F

(d) F

(e) T

(f) T

(g) F

(h) T

(i) T

(j) T

(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.

(a) common factor

(b) right

(c) 0

(d) ratio

(e) simple

(f) oppossite

(g) reciprocal

(h) infinite

(i) $\frac {-2}{3}$

(j) zero

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

$\frac {-8}{15} \times 24= -45$

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

$\frac {-3}{4} - \frac{5}{9}= \frac { -3 \times 9 - 4 \times 5}{36}= \frac {-47}{36}$

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

$\frac {-5}{7} - \frac {-3}{8}= \frac {-5 \times 8 + 3 \times 7}{56}=\frac {-19}{56}$

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

$85\frac{1}{2} \div 4\frac{1}{2}= \frac {170}{2} \div \frac {9}{2} = \frac {170}{2} \times \frac {2}{9} = \frac {170}{9} = 18 \frac {8}{9}$

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

$(\frac {-5}{8} \times \frac {3}{7} \times \frac {4}{-15})+(\frac {4}{7} \times \frac {-21}{8})= \frac {1}{14} + \frac {-3}{2} = \frac {-20}{14} = \frac {-10}{7}$

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

$ 14 \times 32\frac{5}{7}= 14 \times \frac {224}{7} = 448$ cm

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

Converting them into same denominator by using LCM

$\frac {-7}{10}= \frac {-84}{120}$

$\frac {5}{-8}=\frac {-75}{120}$

$\frac {2}{-3}= \frac {-80}{120}$

So Ascending order will be

$\frac {-84}{120}$ < \frac {-80}{120} < \frac {-75}{120}$

$\frac {-7}{10} < \frac {2}{-3} < \frac {5}{-8}$

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

10.(a)

11. (c)

12. (d)

13.(a)

14.(b)

**Notes****Assignments**

Class 7 Maths Class 7 Science