A number line doesn't help some students decompose numbers. The key insight in this example is noticing that 0.35 is "3 tenths and 5 hundredths", in addition to

A number line doesn't help some students decompose numbers. The key insight in this example is noticing that 0.35 is "3 tenths and 5 hundredths", in addition to being "35 hundredths". The former is a decomposition. Number line approaches more commonly rely on students being able to think of 0.4 as 0.40, which some interpret as an arbitrary rule, rather than as related to facts about equivalent fractions. The particular approach offered by the Rational Number Project in the article I linked to in the original post focuses kids on that decomposition from the very beginning using area models and colors to highlight multiple ways of seeing (e.g.) 0.35