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Answer:
If the signs of rational numbers are same, then the answer is positive.
If the signs of rational numbers are different, then the answer is negative.
Step-by-step explanation:
Consider the provided information.
A: When multiplying or dividing rational numbers, when will the answer be positive?
If we are multiplying or dividing rational numbers the answer will be positive if and only if both the rational numbers have same sign.
For example: Multiply 2 and 4.
2×4=8 (same sign)
or
Multiply -2 and -4.
-2×-4=8 (same sign)
8 is a positive rational number.
Now divided 2 and 4.
or
Divided -2 and -4.
1/2 is a positive rational number.
Hence, If the signs of rational numbers are same, then the answer is positive.
B: When multiplying or dividing rational numbers, when will the answer be negative?
If we are multiplying or dividing rational numbers the answer will be negative if and only if both the rational numbers have different sign.
For example: Multiply 2 and -4.
2×-4=-8 (different sign)
or
Multiply -2 and 4.
-2×4=-8 (different sign)
-8 is a negative rational number.
Now divided 2 and -4.
or
Divided -2 and 4.
-1/2 is a negative rational number
Hence, If the signs of rational numbers are different, then the answer is negative.