(Numbers and Operations > Relationships Among Numbers > Comparing and Ordering Numbers)
The updated Comparing and Ordering Rational Numbers document focuses on the comparison of positive values written in the different forms of decimals, fractions, and percents. It begins with simple fractions of denominator 10 so that students can use their knowledge of place value and equivalent fractions to compare values.
Students are then introduced to the use of the benchmarks one-half and one to help them compare.
Students are encouraged in the detailed solutions to continue using benchmarks when possible and alternatively converting values to like formats when necessary.
It is important that students realize that by being able to convert between the different forms, they can choose the form that is most convenient for each situation. Shortly to follow is Comparing and Ordering Rational Numbers II where comparisons include negative rational numbers, repeating decimals, and continued use of the number line.