Advertisements
Advertisements
Question
For any integer a, what is (− 1) × a equal to?
Advertisements
Solution
As per the question, three cases will be possible because we can divide the number line among negative integers, 0 and positive integers. So,
In Case 1: When a is any negative integer, that is, −a, then (−1) × (−a) = a
In Case 2: When a is 0, then (−1) × 0 = 0
In Case 3: When a is any positive integer, that is, a, then (−1) × a = −a
Thus, the possible answers are a, 0 and −a
APPEARS IN
RELATED QUESTIONS
Determine the integer whose product with (−1) is −22.
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?
Which of the following expressions is equal to −30
(−12) × (−9) = _______
Which of the following is the multiplicative identity for an integer a?
88 × ______ = –88
(–1) is not a multiplicative identity of integers.
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.
Determine the integer whose product with (–1) is 0.
