PRACTICE WORKSHEET ON OPERATIONS OF RATIONAL NUMBERS

Fill in the blanks :

1.  The multiplicative inverse of 2  3/5 is  _______

2.  If −3 ⋅ (6/-11)  =  (6/-11) ⋅ x, then x is ________.

3.  If distributive property is true for

then x, y, z are ________ , ________ and ________.

4.  If x ⋅ (-55/63)  =  (-55/63) ⋅  x  =  1, then x is called the _________________ of 55/63 . 

5. The multiplicative inverse of -1 is ________.

Say True or False :

6.  (−7/8) × (−23/27)  = (−23/27) × (−7/8) illustrates the closure property of rational numbers.

7. Associative property is not true for subtraction of rational numbers.

8.  The additive inverse of −11/(-17) is 11/17.

9. The product of two negative rational numbers is a positive rational number

10. The multiplicative inverse exists for all rational numbers.      

11. Verify the closure property for addition and multiplication of the rational numbers −5/7 and 8/9.

12. Verify the associative property for addition and multiplication of the rational numbers

−10/11, 5/6, -4/3

13 Check the commutative property for addition and multiplication of the rational numbers −10/11 and −8/33.

(6)  Verify the distributive property a × (b + c) = (a × b) + (a + c) for the rational numbers a = −1/2, b = 2/3 and c = −5/6.

14.  Evaluate :

15. Evaluate :

16. Evaluate :

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