Answer:
Both conclusions are correct
Step-by-step explanation:
Ivan: The product of an even number of negative fractions is always positive.
When even numbers of same negative fractions are multiplied together, the product is positive.
For instance: -1 × -1
Since the total numbers to be multiplied are even (two -1), the product becomes +1
Ivan's conclusion is correct.
Polina: The product of an odd number of negative fractions is always negative.
When odd numbers of same negative fractions are multiplied together, the product is negative.
For instance: -1 × -1 × -1 × -1 ×-1
Since the total numbers to be multiplied are odd (five -1), the product becomes -1
(-1 × -1) × (-1 × -1) ×-1
= +1 × +1 × -1
The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value
= +1 × -1
= -1
Polina's conclusion is correct
Both are correct.
