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.

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

(ii) The sum of any integer and its additive inverse is always 0.

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

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

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