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  • Name the property under multiplication used in each of the following.     (i)  -4/5*1 = 1*-4/5 = -4/5           (ii)-13/17*-2/7 = -2/7*-13/17        (iii) -19/29*29/-19 = 1

Q5. Name the property under multiplication used in each of the following.

    (i) \frac{-4}{5}\times 1= 1\times \frac{-4}{5} = \frac{-4}{5}            (ii) -\frac{13}{17}\times \frac{-2}{7} = \frac{-2}{7}\times \frac{-13}{17}       (iii) \frac{-19}{29}\times \frac{29}{-19} = 1

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(i) Multiplying any number with 1 we get the same number back.

     i.e., a\times1 = 1\timesa = a 

    Hence 1 is the multiplicative identity for rational numbers.

(ii) Community property states that  a\timesb = b\timesa

(iii) It is the multiplicative inverse identity, i.e.,  a\times\frac{1}{-a} = 1

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Divya Prakash Singh

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