Abstract: The present invention involves the use of numerical digits with markers and attribute tags as a means to represent quantities, facilitate mathematical manipulation, and solve problems. The given number of markers on each digit corresponds to the value of the digit. For example, the digit three is enhanced with three markers. The attribute tags are also provided with a given number of markers, for example, ten, for math problems in base ten. The digits and the attribute tags are then used to represent and solve math problems including, but not limited to, learning ones, tens, hundreds, thousands columns, addition, multiplication, subtraction, and division, of whole numbers, of fractions, of negative whole numbers and of negative fractions, as well as decimals and exponents. The problems are quantitatively viewed, manipulated, and solved directly on the numerical digits incorporating the markers and attribute tags.