Because i thought all rational numbers can be put in the form of A over B?
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The previous poster is correct, 4.1 can be thought of as 41/10, but a way I was taught that I find simpler:
Irrational numbers are, more or less, numbers that end up as a decimal that never end and have no noticeable pattern.
For example, 1/8 = 0.125. There's no real pattern, but the number has a quick and simple ending, and so it is rational.
3/10 = 0.3333333 and you can put an infinite number of 3's in there, but because there is a repeating pattern it is still considered rational.
The number pi, however, is 3.14159265358979323846... the number goes on with no end whatsoever, and has no pattern, and as such is irrational.
Irrational numbers are, more or less, numbers that end up as a decimal that never end and have no noticeable pattern.
For example, 1/8 = 0.125. There's no real pattern, but the number has a quick and simple ending, and so it is rational.
3/10 = 0.3333333 and you can put an infinite number of 3's in there, but because there is a repeating pattern it is still considered rational.
The number pi, however, is 3.14159265358979323846... the number goes on with no end whatsoever, and has no pattern, and as such is irrational.
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Rational...and I could put it A/B by something like 41/10, or any variation of that. If it can be expressed at a decimal that either terminates or continues as a pattern, it's rational. An irrational number would be something like Pi, which goes on forever and never repeats as a pattern. It can be *approximated* as a fraction but the exact value of Pi cannot.
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4.1 = 41/10
rational
rational
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It's rational because it can be written as a fraction.
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It is rational because it can be written as a fraction
4.1 = 41/10
4.1 = 41/10
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Let A = 41 and let B = 10