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Earn +20 ptsQ: Is 1.11111111111 is a rational number?
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What is .111111111111 converted into a fraction?
To convert the repeating decimal .111111111111 to a fraction, we can use the formula for infinite geometric series. Let x = .1111111111111, then 1000x = 111.1111111111. Subtracting the two equations gives 999x = 111, so x = 111/999. Simplifying the fraction gives x = 1/9. Therefore, .111111111111 as a fraction is 1/9.
Is the product of a rational number and a rational number a rational number?
yes
Is a rational number multiplied a rational number rational?
Yes.
Is the number 17.5 a rational number?
yes
Which number can be multiplied to a rational number to explain that the product of two rational numbers is rational?
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
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