Is the product of two integers positive negative or zero?
An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.
Answer: The product of two integers can either be positive, negative, or zero.
To carry out the multiplication of two integers:
- Multiply their signs and get the resultant sign.
- Multiply the numbers and add the resultant sign to the answer.
Explanation:
Multiplication of integers:
Case 1: Signs are the same.
If the signs are the same, the answer is always positive.
- (+) × (+) = +
Example: 5 × 4 = 20
- (‐) × (‐) = +
Example: (-7) × (-9) = 63
Case 2: Signs are different.
If the signs are different, the answer is always negative.
- (+) × (‐) = ‐
Example: 6 × (-10) = -60
- (‐) × (+) = ‐
Example: -3 × 11 = 33
Case 3: When atleast one integer is 0.
If an integer is multiplied to 0, the result is always 0
Example:
2 × 0 = 0
0 × (-5) = 0
Thus, we see that the product of two integers can either be positive, negative, or zero
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