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Find the multiplicative inverse of the following.
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(vi) −1
(i) −13
Multiplicative inverse = −
(ii) 
Multiplicative inverse = 
(iii)
Multiplicative inverse = 5
(iv) 
Multiplicative inverse 
(v) 
Multiplicative inverse 
(vi) −1
Multiplicative inverse = −1
Write the additive inverse of each of the following:
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(i)
Additive inverse = 
(ii) 
Additive inverse = 
(iii) 
Additive inverse = 
(iv) 
Additive inverse 
(v) 
Additive inverse 
Name the property under multiplication used in each of the following:
(i) 
(ii) 
(iii) 
(i) 1 is the multiplicative identity for rational numbers.
If we multiply a rational number with multiplicative identity(1), then the product will be the same rational number itself.
(ii)commutativity
For any two rational numbers a and b aXb=bXa
(iii)Multiplicative inverse
The product of a rational number and its multiplicative inverse is 1.
Is 0.3 the multiplicative inverse of
? Why or why not?
0.3 × = 0.3 × 
Here, the product is 1. Hence, 0.3 is the multiplicative inverse of.
Write:
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.
(i) 0 is a rational number but its reciprocal is not defined.
(ii) 1 and −1 are the rational numbers that are equal to their reciprocals.
(iii) 0 is the rational number that is equal to its negative.
Fill in the blanks.
(i) Zero has __________ reciprocal.
(ii) The numbers __________ and __________ are their own reciprocals
(iii) The reciprocal of − 5 is __________.
(iv) Reciprocal of
, where 
is __________.
(v) The product of two rational numbers is always a __________.
(vi) The reciprocal of a positive rational number is __________.
(i) No
(ii) 1, −1
(iii) 
(iv) x
(v) Rational number
(vi) Positive rational number
Verify that −(−x) = x for.
(i) 
(ii) 
(i)x=
+ -
=0
additive inverse of x=-.
that is -x=-
from + -
=0, we can find that additive inverse of -
is
that is -(-) =
that is -(-x)=x
(ii)
x= -
+ -
=0
additive inverse of x=
that is -x=
from + -
=0, we can find that additive inverse of
is -
that is -() = -
that is -(-x)=x
Is 
the multiplicative inverse of
? Why or why not?
-1 1/8=(-8+1)/8=-7/8
8/9*-7/8=-7/9 is not equal to 1. hence not the multiplicative inverse
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by the reciprocal of
(By commutativity)
