If we get a 0.1 rise in a monthly inflation reading, would that put us around the 2% inflation range?

The mechanism matters more than any single print: year-over-year inflation is a rolling twelve-month stack, so the answer depends on the old month falling off the back as much as the new one coming in. Each month, the reading from twelve months ago drops out and the newest month gets added. The year-over-year figure can fall even with a positive monthly print, as long as the new month comes in smaller than the month it replaces. Economists call this the base effect. If a few upcoming months carry small increases and they replace larger prints from a year earlier, the year-over-year number can step down noticeably. Core inflation (food and energy stripped out, the measure the Fed watches most) moves more slowly and sits a bit above or below the headline depending on the period. The limit is that this is arithmetic. Base effects tell you which direction the push runs, but an energy shock or any other surprise can override them, and nobody can promise where inflation or rates land. If you are timing a purchase or refinance around the data, watch the trend across several months rather than any single print, and remember your mortgage rate follows the bond market's read on all of this, not the headline alone.