Let's evaluate each expression to determine which one results in a positive number.
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\( 0.25 + - (0.75) \): \[ 0.25 - 0.75 = 0.25 - 0.75 = -0.50 \quad (\text{Negative}) \]
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\( -\frac{5}{2} + (-\frac{5}{2}) \): \[ -\frac{5}{2} - \frac{5}{2} = -\frac{10}{2} = -5 \quad (\text{Negative}) \]
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\( 8 \frac{1}{3} + (-7 \frac{1}{5}) \): First, convert mixed numbers to improper fractions: \[ 8 \frac{1}{3} = \frac{25}{3}, \quad -7 \frac{1}{5} = -\frac{36}{5} \] To add these, we need a common denominator, which is 15: \[ \frac{25}{3} = \frac{125}{15}, \quad -\frac{36}{5} = -\frac{108}{15} \] Now add: \[ \frac{125}{15} - \frac{108}{15} = \frac{17}{15} \quad (\text{Positive}) \]
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\( -\frac{8}{3} + \frac{8}{4} \): First, get \(\frac{8}{4} = 2\): \[ -\frac{8}{3} + 2 = -\frac{8}{3} + \frac{6}{3} = -\frac{2}{3} \quad (\text{Negative}) \]
From the evaluations:
- The first expression results in -0.50 (Negative).
- The second expression results in -5 (Negative).
- The third expression results in \(\frac{17}{15}\) (Positive).
- The fourth expression results in -\(\frac{2}{3}\) (Negative).
Conclusion: The expression that results in a positive number is: \( 8 \frac{1}{3} + (-7 \frac{1}{5}) \).
3 answers