Math Problem Statement

Question Tell whether the difference between two negative fractions is always, sometimes, or never positive. Explain your reasoning.

Responses

always; The fractions have the same sign which means the answer is positive. always; The fractions have the same sign which means the answer is positive.

sometimes; It is positive only if the first fraction is greater. sometimes; It is positive only if the first fraction is greater.

sometimes; It is positive only if the second fraction is greater. sometimes; It is positive only if the second fraction is greater.

never; When both signs are negative, the answer will always be negative. never; When both signs are negative, the answer will always be negative.

Solution

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Math Problem Analysis

Mathematical Concepts

Fractions
Negative Numbers
Subtraction

Formulas

a - b = positive if a > b (for negative fractions)

Theorems

Properties of Subtraction
Number Line Concept

Suitable Grade Level

Grades 6-8