Comparing Numbers Computed on a Different Basis . . .

$logo for solving-math-problems.com$

$leftimage for solving-math-problems.com$

Comparing Numbers

. . .

which were computed

using

Different Methodologies

$Math - Numbers Not Comparable - numbers computed using different methodologies$

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.

$Math - Numbers Not Comparable - numbers computed using different methodologies$ Different Methodologies . . .
Comparing numbers computed on a different basis

$Return to Top of Page$ Return To "Top of Page" click here

To accurately compare numbers, they must be computed on the same basis, using the same definitions .

If there are differences in methodology, you must recompute the numbers using the same methodology .

Non-comparable information is frequently provided by government. Definitions are changed for various political reasons. Often the methodology used for computation and comparison is obscured. Numbers are computed on different bases from year to year to "spin" the numbers. Comparing non-comparable numbers can be used to show that the economy is growing when it isn't, or certain groups of people need more (or less) government aid, or there aren't enough (or too many) teachers, etc.

However, there is simply no way to compare numbers computed using different definitions as a basis for the calculation . It is absolutely essential to compute numbers on the same basis before comparing them.

+1 Solving-Math-Problems

Home Page

Site Map

Search This Site

Free Math Help

Math Symbols (all)

Operations Symbols

Relation Symbols

Grouping Symbols

Set Notation Symbols

Miscellaneous Symbols

Calculators

Math & Numbers

Properties of Numbers

Exponents, Radicals, & Roots

Privacy Policy

Example Problems - Geometric Sequence

Example Problems - Arithmetic Sequence

Example Problems - Rationalize the Denominator

Example Problems - Quadratic Equations

Example Problems - Work Rate Problems

Example Problems - statistics

+1 Solving-Math-Problems

Comparing Numbers

. . .

which were computed

using

Different Methodologies

$Math - Numbers Not Comparable - numbers computed using different methodologies$

+1 Solving-Math-Problems

Example Problems - Geometric Sequence

Example Problems - Arithmetic Sequence

Example Problems - Rationalize the Denominator

Example Problems - Quadratic Equations

Example Problems - Work Rate Problems

Example Problems - statistics

+1 Solving-Math-Problems

Comparing Numbers . . . which were computed using Different Methodologies

Comparing Numbers

. . .

which were computed

using

Different Methodologies

$Math - Numbers Not Comparable - numbers computed using different methodologies$