We describe the design space for visualizations with attributes spanning several orders of magnitude, termed Orders of Magnitude Values (OMVs). We divide OMVs into mantissa and exponent for separate visual encoding, similar to scientific notation. We create visualizations combining an OMV with another attribute—nominal, ordinal, time, or quantitative—using various marks and visual channels following the rules of the Grammar of Graphics. We refine this space by enforcing integrity constraints from visualization literature, aiming to enhance the effectiveness of the generated visualizations. Through a qualitative assessment of all viable combinations, we discuss the most effective visualizations for OMVs, focusing on channel and task effectiveness.