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Allan is ordering a set of rational numbers that includes positive values, negative values, fractions, and decimal numbers. How can he order them?

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Answered by GPT 3.5
Allan can order the rational numbers by considering a few factors:

1. Sign: He can group all positive values together and all negative values together. To determine the order within each group, he can compare their magnitudes.

2. Fractions: Once he has ordered the positive and negative values, he can integrate the fractions into the order. One way to do this is to convert all the rational numbers to a common denominator and compare their numerators.

3. Decimal numbers: If there are decimal numbers, Allan can either convert them to fractions or compare them directly. If converting to fractions, he can then use the method mentioned in step 2 to order them.

Overall, the order would be as follows: negative values, positive values, fractions, and decimal numbers. Within each group, they can be further ordered by comparing their magnitudes or converting them to a common form for comparison.

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