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Precalculus Mathematics Homework Help
Convert 0.1001(repeating) to Decimal
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[QUOTE="Mark44, post: 4522581, member: 147785"] The trick here is similar to what you do to convert a repeating decimal fraction to a rational number. For example, if you need to convert .35353535... to a fraction, you multiply by a power of 10 large enough to move the part that repeats to the other side of the decimal point, which in this case would be 10[SUP]2[/SUP]. If we write x = .353535..., then 100x = 35.353535... Subtracting the equation with x from the equation with 100x, we get 99x = 35 ==> x = 35/99 For your binary fraction, write an equation x = .10011001...[SUB]2[/SUB]. Get a new equation that you can subtract this one from by multiplying by 2[SUP]4[/SUP] (or 16). [/QUOTE]
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Precalculus Mathematics Homework Help
Convert 0.1001(repeating) to Decimal
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