Multiplicative identity:
When we multiply any rational number with 1, we get back that rational number as the product.
a x 1 = 1 x a = a for any rational number a. We say that 1 is the multiplicative identity for rational numbers.
Commutative:
Two rational numbers can be multiplied in any order. Multiplication is commutative for rational numbers. In general, a x b = b x a for any two rational numbers a and b.
Multiplicative inverse:
A rational number c /d is called the reciprocal or multiplicative inverse of another rational number a / b if a/b x c / d x = c/d x a/b=1
The reciprocal of a non zero rational number p/q is q/p…
Zero has no reciprocal .
The reciprocal or the multiplicative inverse of a nonzero rational number p/q is written as (p/q)^-1
Solution:
(i) -4/5 x 1 = 1 x (-4/5) = -4/5
1 is the multiplicative identity.
(ii) -13/17 x -2/7 = -2/7 x -13/17
Commutative property
(iii) -19/29 x 29/-19 = 1
Multiplicative Inverse property.