Name the property under multiplication used in each of the following:- (i) -4/5 × 1 = 1 × -4/5
(ii) 13/17 ×. 2/7. =. 2/7 × 13/17
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(i) -4/5 × 1 = 1 × -4/5 = -4/5
∴ 1 is the multiplicative identity in the above expression.
Thus, the property of Multiplicative Identity is used here.
(ii) -13/17 × -2/7 = -2/7 × -13/17
In general, a × b = b × a for any two rational numbers.
Thus, the property of Commutativity of 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.
Thus, the property of Multiplicative Inverse is used here.
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