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प्रश्न
We get additive inverse of an integer a when we multiply it by ______.
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उत्तर
We get additive inverse of an integer a when we multiply it by (–1).
Explanation:
Additive inverse of an integer is the same integer value, with opposite sign. So, we get additive inverse of integer a, when we multiply it by (–1).
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संबंधित प्रश्न
For any integer a, what is (− 1) × a equal to?
Starting from (−1) × 5, write various products showing some pattern to show (−1) × (−1) =1.
100 × ___ = −500
_____ × 75 = 0
8 × (−4) = 32
During summer, the level of the water in a pond decreases by 2 inches every week due to evaporation. What is the change in the level of the water over a period of 6 weeks?
(–1) is not a multiplicative identity of integers.
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.
Determine the integer whose product with (–1) is 37.
