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Question
Determine the integer whose product with (–1) is 37.
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Solution
–37 × (–1) = 37
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Match the following:
| Column I | Column II |
| (a) a × 1 | (i) Additive inverse of a |
| (b) 1 | (ii) Additive identity |
| (c) (–a) ÷ (–b) | (iii) Multiplicative identity |
| (d) a × (–1) | (iv) a ÷ (–b) |
| (e) a × 0 | (v) a ÷ b |
| (f) (–a) ÷ b | (vi) a |
| (g) 0 | (vii) –a |
| (h) a ÷ (–a) | (viii) 0 |
| (i) –a | (ix) –1 |
Below u, v, w and x represent different integers, where u = –4 and x ≠ 1. By using following equations, find each of the values:
u × v = u
x × w = w
u + x = w
- v
- w
- x
Explain your reasoning using the properties of integers.
