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## Math and Arithmetic - Math's Relation to Arithmetic

Math's relation to arithmetic is scientific, in that the concepts of math are equivalent to the concepts of arithmetic. Arithmetic is used in all forms of high mathematics. Math, in general can include algebra, geometry, and calculus, which deals with numbers and their relationship to one another. Math's relation to arithmetic deals with the computation and/or comparison of quantities, distances, shapes and forms.

As a student, you will learn math's relationship to arithmetic. Arithmetic is the basic operations of math problems. All of the math problems you, as the student, solve are solved with the basic skills you have in arithmetic. Arithmetic relates to the computations of math problems. You must be able to add, subtract, multiply and divide to be able to solve math problems. You cannot advance in math until you understand the basic functions of arithmetic.

Math's relation to arithmetic is based on axioms and theorems for which certain rules apply. For example, if you were to put a dot with your pencil on a sheet of paper, what does it tell you? The dot is merely showing you its location on the paper. However, if you were draw a line from that point you placed on the paper, you see that the line has a starting point and it has length and direction. If you were to make another point somewhere else on the paper--again, it just tells you location. If you draw a line from that point and draw a line through the other line you put on the page, you now have new information. Now you know that two lines had a starting point and ending point. You also see that the two lines intersect. Both lines have direction and length that can be measured. Thus, you would use the basic rules of math and arithmetic to solve algebra, geometry and calculus problems.

Over the centuries mathematicians have developed new forms of math by creating new axioms and following through with new theorems, which was how the concepts of geometry was invented. Mathematicians experiment with new axioms and theorems and then they observe for new discoveries in mathematics to unfold. Scientists have used these techniques of trying new ideas to make new discoveries in science. Sometimes scientists and mathematicians have to "go back to the drawing board," to rework their theorems so that the concepts of math and arithmetic continue to agree.