Here are a few examples of how altmetrics information has been included in CVs and résumés. Note how each writer gives some context for the metrics instead of raw numbers or scores alone.
Ethan White, Wildlife Ecology & Conservation, University of Florida
Example of a citation with appended information "OA, Preprint, Top 1% of articles for online impact"
Scott R. Loss, Natural Resource Ecology & Management, Oklahoma State University
Screencap of a resume that includes the statement "Paper ranked #62 globally on Altmetric 2013 top 100 of academic research"
Marie Soressi, Archaeology, Leiden University
Citation with the information "Paper scored 27th out of 19,867 PNAS papers in Altmetric score, which is our measure of the quality and quantity of online attention that it has received" (plus URL to metrics)