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Earn +20 ptsQ: Why irrational numbers can never be precisely repersented in 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 can't irrational numbers ever be precisely represented in a decimal form?
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.
Why might you need to be able to estimate an irrational numbers?
Because rational numbers aren't able to be notated precisely in decimal form. They don't stop.
What kind of decimal numbers are irrational number?
Decimal numbers that can't be expressed as fractions are irrational numbers
Can an irrational number be expressed as a terminating decimal?
No, irrational numbers can't be expressed as a terminating decimal.
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