Subjects algebra

Descending Order 9Ae064

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1. **State the problem:** We have the list of numbers: 5.25, | -6/5 |, -4 4/5, -1.2. We want to arrange them in descending order (from largest to smallest). 2. **Convert all terms to decimal form for easy comparison:** - 5.25 is already decimal. - | -6/5 | means the absolute value of -6/5, which is $\left| -\frac{6}{5} \right| = \frac{6}{5} = 1.2$. - -4 4/5 is a mixed number, convert to decimal: $-4 \frac{4}{5} = -4 - \frac{4}{5} = -4 - 0.8 = -4.8$. - -1.2 is already decimal. 3. **Rewrite the list with decimals:** $$5.25, 1.2, -4.8, -1.2$$ 4. **Arrange in descending order:** $$5.25 > 1.2 > -1.2 > -4.8$$ 5. **Compare with original list order:** Original: 5.25, | -6/5 | (1.2), -4 4/5 (-4.8), -1.2 Desired descending order: 5.25, 1.2, -1.2, -4.8 6. **Identify which two terms need to be switched:** In the original list, -4 4/5 (-4.8) comes before -1.2, but -1.2 is greater than -4.8, so these two terms should be switched. **Final answer:** The two terms that should be switched are **-1.2 and -4 4/5** to arrange the list correctly in descending order.