ivan and polina have each drawn a conclusion about multiplying negative fractions. ivan: the product of an…

ivan and polina have each drawn a conclusion about multiplying negative fractions. ivan: the product of an even number of negative fractions is always positive. polina: the product of an odd number of negative fractions is always negative. whose conclusion is correct? ivan only polina only both ivan and polina neither ivan or polina

ivan and polina have each drawn a conclusion about multiplying negative fractions. ivan: the product of an even number of negative fractions is always positive. polina: the product of an odd number of negative fractions is always negative. whose conclusion is correct? ivan only polina only both ivan and polina neither ivan or polina

Answer

Explanation:

Step1: Recall multiplication rule of negative numbers

When multiplying negative numbers, if there are an even - number of negative factors, the product is positive. For example, $(-\frac{1}{2})\times(-\frac{1}{3})=\frac{1}{6}$. Ivan's statement about negative fractions follows this rule.

Step2: Recall multiplication rule of negative numbers

When multiplying negative numbers, if there are an odd - number of negative factors, the product is negative. For example, $(-\frac{1}{2})\times(-\frac{1}{3})\times(-\frac{1}{4})=-\frac{1}{24}$. Polina's statement about negative fractions follows this rule.

Answer:

C. both Ivan and Polina