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