ASSIGNMENT BOOKLET -CH-1- RATIONAL NUMBERS (1)

ASSIGNMENT

OBJECTIVE TYPE QUESTIONS

1. Choose the correct answer.

i) What should be subtracted from −2 to get −1?
3

a) −1 b) 1 c) 2 d) −2
3 3 3 3



ii) If is a rational number, then which of the following is incorrect?

a) can be zero b) can be zero

c) cannot be zero d) can be zero but cannot be zero

iii) How many rational numbers exist between two distinct rational

numbers?

a) 2 b) 3

c) 11 d) Infinite number of rational numbers

iv) Choose the rational number which does not lie between the rational

32 49

numbers 5 & 3 c) 75

a) 46 b) 47 d) 50
75 75 75

v) Which of the following is different from others?

a) √7 b) √8 c) √13 d) √16

2. Fill in the blanks.

a) _______ and ________ numbers are their own reciprocal.

−5

b) The multiplicative inverse of 3 is ______.
c) _______ is the additive identity of rational numbers.

d) The successor of the lowest positive integer is __________
e) The multiplicative identity of rational numbers is ____________.

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SUBJECTIVE TYPE QUESTIONS



1. Simplify the following and write as a rational number of the form

a) 3 + 5 + ( −7
4 6
8)

b) 5 + ( 3 ) + (−7) + 3
3 −2 3

2. Simplify:

a) [13 × −15] × [7 × 8] + [3 × 1]
92 35 52

b) [ 3 × 5] − [ 9 × 4] + [ 5 × 6 ]
11 6 12 3 13 15

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−

3. What number should be added to so as to get ?

−

4. What should be subtracted from so as to get ?

5. Verify the property x × (y × z) = (x × y) × z by taking x = − , = , z =



12

6. Find ( + )( − ), if = , =



7. The cost of

metres of rope is Rs. 12 . Find its cost per metre.

− − −
8. Divide the sum of and by the product of and



9. Find ten rational numbers between and .

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10. Simplify using appropriate properties.

a) 3 + −2 + −11 + 4
5 3 5 3

b) 62 × 3 + 5 × 20 − 6 2 × 7
3 22 3 32

c) −4 + [ −3 −{ 2 of −15 ÷ ( −41)}]
7 14 5 8

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CASE STUDY QUESTION

Recycling is a critical practice to make our planet cleaner and free of waste. The
process of converting waste materials into a new useful material or object is known
as Recycling. The table given below shows the portion of some common materials
that are recycled.

Material Recycled

Paper 5
Aluminium cans 11
Glass 5
Scrap 8

2
5
3
4

i) Which item is recycled the most?

(a)Paper (b) Aluminium Cans (c) Scrap (d) Glass

ii) How many rational numbers are there between the rational numbers

representing the portion of paper and aluminium cans?

(a) finite (b)20 (c) infinite (d) 50

iii) What is the additive inverse of the rational number representing portion

of the glass which is recycled?

(a) 1 (b) 0 −5 −2

(c) 11 (d ) 5

iv) Find the difference between the portions of scrap and glass which are to

be recycled.

20 4 5 7

(a) 6 (b) 3 (c) 2 (d) 20

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CROSSWORD PUZZLE

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LET’S PONDER

Are the given statements correct? If not, write the correct statement

1. Multiplicative inverse of −3 is −1.
5

−15 −20

2. Equivalent rational number of 21 is 25

3. The negative of a negative rational number is negative.

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ANSWER KEY

OBJECTIVE TYPE QUESTIONS

1. i) b)



ii) (b) q can be zero

iii) (d) Infinite number of rational numbers

iv) (d)


v) (d)√

2. a) 1, -1 −

c) 0 b)
e) 1 d) 2

SUBJECTIVE TYPE QUESTIONS

1. a) b)

2. a) − b) −

3.

−
4. x =

5. LHS = RHS, property is verified.

6. −


7. 1



8. −



9. , , , , , , , , ,



10. a) − b) 3 c) −


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CASE STUDY QUESTION

i) c) Scrap

ii) c) Infinite

iii) d) −

iv) d)


CROSSWORD PUZZLE

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