## Rational Number test paper

__Rational Number__

*1. Write:*

*(i) The rational number that does not have a reciprocal.*

*(ii) The rational numbers that is equal to their reciprocals.*

*(iii) The rational number that is equal to its negative.*

*(iv) The additive inverse of a negative number*

*2. Fill in the blanks.*

*(i) Zero has __________ reciprocal.*

*(ii) The numbers __________ and __________ are their own raciprocals*

*(iii) The reciprocal of − 5 is __________.*

*(v) The product of two rational numbers is always a __________.*

*(vi) The reciprocal of a positive rational number is __________.*

*(vii)The number which can be written in the form of p/q , where q≠0, is called _______ number.*

*(A) Rational (B) Irrational (C) Real (D) Natural*

*(viii) All rational numbers have multiplicative inverse except _______ .*

*(A) -1 (B) 1 (C) 0 (D) None*

*(ix)The sum of any two rational numbers is a ___________ number.*

*(A) Even (B) Real (C) Rational (D) Natural*

*(x). 1 A rational number p/q is said to be in the simplest form if the HCF of p and q is*

*(a) 2 (b) 1 (c) 0 (d) 3*

*(xi) Between any two distinct rational numbers there exist*

*(a) Finite rational numbers (b) Infinite rational numbers (a) No rational number (d) none of the above*

*(xii) A rational number a/b is greater than c/d if*

*(a) ad > bc (b) ad < bc (c) ad = bc (d) ad ≠ bc*

*(xiii) .4 Is zero a rational number*

*(a) Yes (b) No (c) Can’t say*

*(xiv) Rational numbers are not closed under*

*(a) Addition (b) Multiplication (c) Division (d) Subtraction*

*(xv) If the additive inverse of “b” is “a” then:*

*(A) ab=1 (B) a=b (C) a+b=0 (D) a-b=0 3.*

*Solve:*

*1. If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8. What is the number?*

*2. Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3, and 4 respectively, they add up to 74. Find these numbers.*

*4. Represent the following rational numbers on the number line (a) -1/4 (b) -11/5 (c) -38/5 (d) -7/10 (e) -5/3*

*5. Find two rational numbers between (i) -2 and 2. (ii) -1 and 0. 6. Insert six rational numbers between (i) -1/3 and -2/3 (ii) ¼ and ½***Read more topics**

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