Estimation And Approximation
When someone gets you a surprise gift you are likely to estimate its approximate cost. Thus, in English estimation is the rough calculation of the value or the extent of something. Similarly, an approximation is a value that is nearly correct but not exact.
In mathematics, you will come across many situations where in you need to estimate.
Estimation means to make a judgment of quantities, approximate calculation of size, cost, population etc.
Approximation means almost correct amount. The word approximation is derived from Latin approximatus, from proximus meaning very near and the prefix, ap- meaning to.
In this chapter, you will learn about estimation and approximation.
The procedure of estimation depends upon the following:
- The degree of accuracy required.
- The simplicity of computation.
- How quickly is the estimation completed?
- How quickly would the guessed answer be obtained?
Let us consider some of the examples:
Example 1:
Estimate the sum (69 + 73) as nearest ten.
Solution:
Round off each given number to nearest ten.
69 = 70
73 = 70
Required sum = 70+ 70 = 140
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