when multiplying two rational numbers, how is the sign of the product determined
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, the sign of the product is determined by the following rules:
1. If the two rational numbers have the same sign (both positive or both negative), then the product will be positive.
For example: (+3/4) x (+2/5) = +6/20 = +3/10
2. If the two rational numbers have different signs (one positive and one negative), then the product will be negative.
For example: (-3/4) x (+2/5) = -6/20 = -3/10
So, the sign of the product depends on whether the two rational numbers have the same sign or different signs.
When multiplying two rational numbers, the sign of the product is determined based on the following rules:
1. If both rational numbers have the same sign (either positive or negative), the product is positive.
For example:
- (+3/4) * (+5/6) = +15/24 = +5/8
- (-2/3) * (-4/5) = +8/15
2. If the two rational numbers have different signs (one positive and one negative), the product is negative.
For example:
- (+3/4) * (-5/6) = -15/24 = -5/8
- (+2/3) * (-4/5) = -8/15
To determine the sign of the product, you can follow these steps:
1. Identify the sign of each rational number in the multiplication.
2. If both rational numbers have the same sign, the product is positive.
3. If the rational numbers have different signs, the product is negative.
By applying these rules, you can easily determine the sign of the product when multiplying two rational numbers.