Fill in the blanks :

(i) The absolute value of any integer can never be …………… .

(ii) The sum of any integer and its additive inverse is always …………… .

(iii) a x (b + c) = (a x b) + (a x c) is …………… property of multiplication over addition.

(iv) The product of two integers having unlike signs is always a …………… integer.

(v) The additive inverse of an integer a has the …………… sign as a.

State True or False :

For any integer a, the multiplicative inverse is 1.

State True or False :

The multiplicative inverse of an integer is never an integer.

State True or False :

Any integer multiplied to its multiplicative inverse always gives the multiplicative identity.