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Name the property under multiplication u...

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

Text Solution

Verified by Experts

(i)` -4/5 × 1 = 1 × -4/5 = -4/5`
∴ 1 is the multiplicative identity in the above expression.
Therefore, Multiplicative Identity property is used here.
(ii) `-13/17 × -2/7 = -2/7 × -13/17`
As a × b = b × a for any two rational numbers.
Therefore, Commutative Multiplication is used here.
(iii)` -19/29 × 29/-19 = 1`
For a rational number a/b, the multiplicative inverse is the reciprocal of that number which is `b/a`.
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