117. Match the following
| Column I | Column II |
|---|---|
| (a) \(a\times1\) | (i) Additive inverse of \(a\) |
| (b) 1 | (ii) Additive identity |
| (c) \((−a)÷(−b)\) | (iii) Multiplicative identity |
| (d) \(a\times(−1)\) | (iv) \(a÷(−b)\) |
| (e) \(a\times0\) | (v) \(a÷b\) |
| (f) \((−a)÷b\) | (vi) \(a\) |
| (g) 0 | (vii) \(−a\) |
| (h) \(a÷(−a)\) | (viii) 0 |
| (i) \(−a\) | (ix) −1 |
(a) → (vi), (b) → (iii), (c) → (v), (d) → (vii), (e) → (viii), (f) → (iv), (g) → (ii), (h) → (ix), (i) → (i)
Use identities: \(a\times1=a\); 1 is multiplicative identity; 0 is additive identity; dividing by negatives changes sign; \(a÷(−a)=−1\) for \(a\neq0\); additive inverse of \(a\) is \(−a\).