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Suppose an irrational number can be written precisely in decimal form, with n digits after the decimal point. Then if you multiply the decimal value by 10n you will get an integer, say k. Then the decimal representation is equivalent to k/10n, which is a ratio of two integers and so the number, by definition, is rational - not irrational.
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Earn +20 ptsQ: Why can't irrational numbers ever be precisely represented in a decimal form?
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Is Irrational numbers can never be precisely represented in decimal form Why is this?
They don't stop.
Why cant irrational numbers be represented in decimal form?
But irrational numbers are decimals that can't be expressed as fractions
Why irrational numbers can never be precisely repersented in decimal form?
They don't stop.
Why can't irrational numbers represented in decimal form?
They don't stop.
Is an irrational number a number that is represented by a nonrepeating decimal?
Yes, However, it is not defined that way. It is defined as a number that cannot be expressed precisely as a ratio of two real numbers (a fraction). But that is equivalent to a non-repeating decimal.
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