Not really sure what you mean, but if you're looking for tips to aid mental arithmetic, ways to deal with awkward numbers include breaking them down into factors, rounding up or down then dealing with the remainder, and so on.
Eg: 47 + 83. You could say 80 = 40 = 120, then + 7 = 127, finally +3 = 130.
Many people become adept at particular lines of arithmetical enquiry by constant use. For example, good darts players are adept at rapid addition, subtraction and factorising of real integers. Some bar staff can handle the price of quite complicated rounds of drinks even under pressure of trade & noise.
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No. Irrational numbers by definition fall into the category of Real Numbers.
There are lots of subsets; some of the ones that are commonly used are: rational numbers; irrational numbers; positive numbers; negative numbers; non-negative numbers; integers; natural numbers. Remember that a subset simply means a set that is contained in another set. It may even be the same set. So the real numbers are a subset of themselves. The number {3} is a subset of the reals. All the examples above are subsets as well. The set {0,1, 2+i, 2-i} is NOT a subset of the real numbers. The real numbers are a subset of the complex numbers.
All real are rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
d ko alam ang diagram of a real numbers
The set of real numbers is the union of the set of rational and irrational numbers. But there are so many other ways to describe it. Real numbers can be constructed as Dedekind cuts of rational numbers. The set of real numbers can also be viewed as the set of equivalence classes of Cauchy sequences of rational numbers Some people like the definition, that the real numbers are all the numbers which can be expressed as decimals.