# PRACTICE WORKSHEET ON OPERATIONS OF RATIONAL NUMBERS

## About "Practice Worksheet on Operations of Rational Numbers"

Practice Worksheet on Operations of Rational Numbers :

Here we are going to see some practice questions on operations of rational numbers.

## Practice Worksheet on Operations of Rational Numbers - Practice questions

(1)  Fill in the blanks

(i)  The multiplicative inverse of 2  3/5 is  _______

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

(iii)  If distributive property is true for

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

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

(v) The multiplicative inverse of -1 is ________.

Solution

(2)  Say True or False:

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

(ii)  Associative property is not true for subtraction of rational numbers.

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

(iv) The product of two negative rational numbers is a positive rational number

(v) The multiplicative inverse exists for all rational numbers.

Solution

(3)  Verify the closure property for addition and multiplication of the rational numbers −5/7 and 8/9

(4)  Verify the associative property for addition and multiplication of the rational numbers

−10/11, 5/6, -4/3

(5)  Check the commutative property for addition and multiplication of the rational numbers −10/11 and −8/33

Solution

(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.

Solution

(7)  Evaluate:

Solution

(8)  Evaluate using appropriate properties.

Solution

(9)  Use commutative and distributive properties to simplify

Solution

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