The document discusses comparing and ordering rational numbers, which include integers, fractions, decimals, mixed numbers, and repeating decimals. It provides several methods: 1) Compare whole numbers by their place values from left to right. 2) Compare fractions with the same denominator by their numerators, and fractions with different denominators by converting them to equivalent fractions with a common denominator first. 3) Compare mixed numbers by first comparing the whole number parts, then the fractional parts if needed. 4) Compare decimals by their place values from left to right after making their decimal places the same. 5) Compare integers using the number line, with more negative numbers to the left of less negative numbers.