﻿ Deciding if Numbers are Equal or Approximately Equal
DECIDING IF NUMBERS ARE EQUAL OR APPROXIMATELY EQUAL
by Dr. Carol JVF Burns (website creator)
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• PRACTICE (online exercises and printable worksheets)
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Many real-life problems involve numbers that are not convenient to work with without calculator assistance.
Many calculator-solved problems give an approximate solution, not an exact solution,
and the purpose of this section is to increase your awareness of the difference between the two.

When two numbers $\,x\,$ and $\,y\,$ live at the same place on the number line,
we say “$\,x\,$ equals $\,y\,$” and write “$\,x = y\,$”.
However, when two numbers $\,x\,$ and $\,y\,$ are just close to each other, but not equal,
we say that “$\,x\,$ is approximately equal to $\,y\,$”.

Here, you will compare two numbers, and decide if they are equal, or approximately equal.

EXAMPLES:
Question: Compare $\,\frac13\,$ and $\,0.333333\,$.
Question: Compare $\,\frac4{10}\,$ and $\,0.4\,$.
Master the ideas from this section

When you're done practicing, move on to:
Rounding Decimals to a Specified Number of Places

DO NOT USE YOUR CALCULATOR FOR THESE PROBLEMS.

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