Subjects algebra

Negative Numb D38F85

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1. **State the problem:** We are given the list of numbers: $5.25$, $| - \frac{6}{5} |$, $-4 \frac{4}{5}$, and $-1.2$. We need to determine which two terms are arranged correctly in order. 2. **Convert all terms to decimal for easy comparison:** - $5.25$ is already decimal. - $| - \frac{6}{5} | = \left| -1.2 \right| = 1.2$ - $-4 \frac{4}{5} = -4 - \frac{4}{5} = -4 - 0.8 = -4.8$ - $-1.2$ is already decimal. 3. **List the numbers in decimal:** $$5.25, 1.2, -4.8, -1.2$$ 4. **Check the order given:** The list is $5.25, | - \frac{6}{5} |, -4 \frac{4}{5}, -1.2$ which corresponds to $5.25, 1.2, -4.8, -1.2$. 5. **Determine if the list is arranged correctly:** - From $5.25$ to $1.2$ is decreasing. - From $1.2$ to $-4.8$ is decreasing. - From $-4.8$ to $-1.2$ is increasing. 6. **Conclusion:** The list is not consistently increasing or decreasing. 7. **Identify two terms that are correctly ordered:** - $5.25$ and $1.2$ are in decreasing order. - $1.2$ and $-4.8$ are in decreasing order. - $-4.8$ and $-1.2$ are in increasing order. So the two terms $5.25$ and $1.2$ are correctly arranged in decreasing order. **Final answer:** The two terms $5.25$ and $| - \frac{6}{5} |$ are arranged correctly in decreasing order.