Skip to content# Place Value Problems

**Classifications**

Author(s): Harold Reiter

In this session, we’ll learn how to solve problems related to place value. This is one of the fundamental concepts in arithmetic, something every elementary and middle school mathematics teacher should understand profoundly. Several example puzzles are followed by a rich selection of over 30 additional problems to explore.
This collection of place value problems is suitable for student circles, teacher circles, or the classroom.

Topics covered: Algebra / Arithmetic, Number Theory

Session styles: Problem Sets, Work Backwards

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., MP4 – Model with mathematics., MP5 – Use appropriate tools strategically., MP6 – Attend to precision., MP7 – Look for and make use of structure., MP8 – Look for and express regularity in repeated reasoning.

Supporting materials: Facilitator Guides

Associated Math Circles: MTC Network