Skip to content# One, Two, Three, Four: Building Numbers with Four Operations

**Classifications**

Author(s): Michael Nakamaye

What numbers can you make with 1, 2, 3, and 4, using the operations of addition, subtraction, and multiplication? Work on these problems builds arithmetic fluency and provides opportunities to identify patterns, develop and defend arguments, and create conjectures. This investigation also highlights how thin the boundary is between a fun warm-up activity for fifth graders and deep questions investigated by research mathematicians!

Topics covered: Algebra / Arithmetic, Number Theory

Session styles: Problem Sets

Supporting materials: Facilitator Guides, Featured in MCircular

Associated Math Circles: MTC Network