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Any number that CAN be represented as a ratio of 2 integers is classified as a rational number (other than that you can't use 0 for the denominator)
Any number that CANNOT be represented as a ratio of 2 integers is classified as an irrational number
You can't have it both ways - either you can or cannot.
To paraphrase Yoda "Can or Cannot - there is no both"
NOTE: dividing by zero give you infinity which is a concept not a fixed number and thus neither inherently rational nor irrational
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What is the mathematical symbol for an irrational number?
it's Q Bar. i cant find a symbol for it on the keyboard. but its basically like The rational Symbol (Q) with a horzontal line on top of it.
Why cant you assume that a number is irrational because it is expressed using the square root symbol?
Well, for example, the square root of 4 is 2, which is a rational number. As long as the number which is being square rooted is not a square number itself (i.e. 1, 4, 9, 16 etc.), then it will be irrational. So..... the square roots of 49, 100, 196, for example, are all rational numbers (7, 10 and 14 respectively.) They do not have to be integers. The square of of any rational number automatically has a rational square root eg the square root of 77.41792 is 77.4179 . Rational means expressable as a ratio of integers: 77.4179 is 774179/10000 .
Are irrational numbers real numbers?
A mathematical approach:Yes they are. Irrational numbers are very real, for example - the square root of two - which is irrational (but can be plotted in a number line without difficulty with a compass and straight edge). All numbers you can think of (even if you cant white them out) are real numbers.They are real, but they can't be expressed as fractions.A philosophical approach:According to ME, there should be a limit. If there is a number which is not ending, we can't say that it is a number because it has not ended yet, its not a complete number. That's why, any number which is not ending is not a number, so irrational numbers and some rational numbers are not numbers and we can't plot them on real line, no matter how much depth we are into it. If there is a number 1.0000... (100 million 0's) ...1, we can plot it by dividing real line into required many parts but we cant plot a number like 1.1111....1111....(up to, we don't know), actually that's not a number yet.Maths should be changed.
Why cant irrational numbers be represented in decimal form?
But irrational numbers are decimals that can't be expressed as fractions
How do you determine if a fraction is in simplest form?
if the fraction's numerator and denominator cant be divided by any number remembber both numerator and denominator must be divided by the same number
