0
A negative.
Here is a little table, on multiplicatio/ division of positive and negative integers.
-
- = +
-
- = -
-
- = -
-
- = +
NB If no sign is given , then read it as positive (+).
e.g.
2 x 2 = (+)4 (No signs so read as (+)).
2 X - 2 = -4
-2 X (+)2 = -4
-2 X -2 = (+)4 .
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The product of any two integers is a positive integer?
No, if a negative integer is multiplied by a positive integer, the product is negative. However, if both of the integers are either positive or negative, the product is positive.
What is the product of greatest negative integer and smallest positive integer?
The smallest positive integer is 1. 1 is the multiplicative identity; ie anything times 1 is itself. The greatest negative integer is the most positive negative integer which is -1. Therefore the product of the greatest negative integer and the smallest positive integer is the greatest negative integer which is -1.
Is the product of a negative and a positive integer always negative?
Yes.
Why does the product of an integer multiplied by itself cannot be negative?
There are just three possible cases: Positive integer: positive x positive = positive. Negative integer: negative x negative = positive. Zero: zero x zero = zero.
Is the product of a negative integer and its opposite negative?
Negative times positive equals negative.
