Arithmetic Measurement System quantifies arithmetic operations just by
measurement and without arithmetic calculation or even counting. Playing
cards may be annotated with size-coded marks or card tags to represent
face value. For example, a tag representing a face value 5 is half the
size of one representing a value 10 using a linear tag scale, or about
7/10.sup.th the size using a log.sub.10 tag scale. Users align linear
tags in a contiguous row to add values or overlap tags to subtract
values. Users align logarithmic tags in a row to multiply values or
overlap tags to divide values. Integrated and separate measures with
corresponding linear or logarithmic tag-scales quantify a total value of
aggregate or net tag row size. Product developers may use the Arithmetic
Measurement System of tags and measures to provide novel educational math
manipulatives and playing card games for players unskilled in arithmetic.