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Are numbers below 0.833 always irrational numbers?
No, numbers less than 0.833 are not always irrational. For instance, 0.2 isn't an irrational number
Is it true that if you add two irrational numbers you will always get a rational number?
yes
How is the decimal of an irrational number different from the decimal of a rational number?
The difference is that rational numbers stay with the same numbers. Like the decimal 1.247247247247... While an irrational number is continuous but does not keep the same numbers. Like the decimal 1.123456789...
Is 10x 3.14 irrational?
The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.
Is the sum of two irrational number is always irrational?
No. For example, -root(2) + root(2) is zero, which is rational.Note that MOST calculations involving irrational numbers give you an irrational number, but there are a few exceptions.
