We involuntarily participate in estimation all our lives. Be it a kid estimating how much chocolate he can get out of his parents or a stock market analyst estimating the trends in the markets. Just the scale varies. If one had to define estimation, it would sound something like this, estimation is to form an approximate judgment or opinion regarding the worth, amount, size, weight, etc. or in other words calculate approximately.
Estimation of Numbers is an integral aspect of mathematics and we engage in it every day. Be it estimating the bill, a person’s weight or while solving a math problem. But of course, approximate is not good enough sometimes, often we need to know the exact number. Nevertheless, in this article we discuss estimation.
Estimation of Numbers by Rounding Off Method
When it comes to mathematics, before we even get down to solving the problems, we tend to estimate its answers in our head. Rounding off is a kind of estimation used quite often in mathematics. See, there does exist a general rule to this art of rounding off numbers. The rule states that one must look at the digit to the right of the digit one wants to estimate and if it is less than 5 then you round down, but if it turns out to be greater than 5, then you participate in rounding up, this process is known as the rounding off of numbers. Take an example like 5.3, since 3 is lesser than 5 the number will be rounded off to 5. While on the other hand if the number were 5.6, then it will be rounded up to 7 since 6 is greater than 5.
Estimation is not just in mathematics, if it is estimating to the nearest 10s then it goes something like this, instead of estimating to the nearest whole number, you estimate to the digit that is in the tens place or the second one to the left of the decimal. For example, take 456; it would be 460, while 234 will end up as 230. Hope you’ve got the hang of it.
Uses of Estimation of Numbers
Estimation of numbers is the process of estimating/approximating or rounding off the numbers in which the value is used for some other purpose in order to avoid the complicated calculations. There is a difference between the term exact and the estimation. In mathematics, the term exact refers to the equal and the estimation refers to the approximated value. Estimation of numbers saves the times. After estimating the numbers, we don’t require calculators to solve the problem. But in mathematics, we always require an exact answer. Estimation is the process of finding the number which is close enough to the exact solution. But it is not an exact answer.
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