When multiplying two rational numbers, the sign of the product is determined by the signs of the two rational numbers being multiplied.
1. If both rational numbers have the same sign (either both positive or both negative), the product will be positive.
Example: (-3/4) * (-2/5) = 6/20 = 3/10
2. If one rational number is positive and the other is negative, the product will be negative.
Example: (-3/4) * (2/5) = -6/20 = -3/10
In summary, the sign of the product is positive if both rational numbers have the same sign, and negative if one rational number is positive and the other is negative.
when multiplying two rational numbers, how is the sign of the product determined
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