## Comparing Numbers. . .which were computedusingDifferent Methodologies

Comparing Numbers which are not compatible - when each number is Computed on a Different Basis . . .

Comparing "Numbers" without using a Number Line:

Direct Comparison , without using a number line, has many practical

advantages because it does not require a physical drawing.

Although a number line provides a visual model which is easy to understand, it is not feasible to use it in most situations. The following limitations make a number line cumbersome and time consuming to use:

• There is not enough space to physically plot more than a few numbers on the same line graph (number line).
• Plotting extremely small numbers, or extremely large numbers, or numbers with completely different orders of magnitude, or numbers which are almost equal may each require dramatically different labeling of scale marks. In addition, each situation may require completely different intervals marked on the number line.

Direct Comparison eliminates the problems listed above. Direct comparison does not require a physical drawing.

Real Numbers are sequential. By comparing place values, any two numbers can be compared directly - once the numbers are written in the same standard notation.

How to Compare Numbers Using Direct Comparison - click description