Skip to content# Touching Infinity: Hyperbinary Numbers and Fraction Trees

**Classifications**

Are there more fractions than counting numbers? Surprisingly, an investigation into binary notation can help us answer this question! This session explores the binary number system. Participants will investigate Hyperbinary numbers, create a Fraction Tree, and discover connections between them.

Topics covered: Number Theory

Mathematical practices: MP1 – Make sense of problems and persevere in solving them., MP2 – Reason abstractly and quantitatively., MP3 – Construct viable arguments and critique others’ reasoning., MP5 – Use appropriate tools strategically., MP6 – Attend to precision., MP7 – Look for and make use of structure.

Supporting materials: Facilitator Guides, Featured in MCircular

Associated Math Circles: MTC Network