From the discussion above we have a bit of clue. We know that terminating decimals have something to do with fractions whose denominators have factors 2, 5, or To strengthen our hunch, we take all the unit fractions whose denominators are less than 16 and see what happens. A fraction is a terminating decimal if its factors are 2 or its powers, 5 or its powers, or both.
In the next post, we will have more discussions and we will refine our conjecture. One comment converting decimals to fractions , non-terminating decimals , terminating decimals.
Leave a Reply Cancel reply. The maximum number of digits that can possibly repeat is 1 less than the denominator. If you want to try one of these to see the digit repetend, by all means try it. Hi Henriettas,. This is a really good question. The best answer I can give is take the top numerator and divide it by the bottom denominator. Also, anytime there is a fraction with a 9, 99, , etc.
Some decimals terminate which means the decimals do not recur, they just stop. For example, 0. To find out whether a fraction will have a terminating or recurring decimal, look at the prime factors of the denominator when the fraction is in its most simple form.
If the prime factors of the denominator contain any other numbers, the decimal will recur. Some decimals are irrational , which means that the decimals go on forever but not in a pattern they are not recurring. Converting recurring decimals - Higher A recurring decimal exists when decimal numbers repeat forever.
Example How is the number 0. When two digits recur multiply by so that the recurring digits after the decimal point keep the same place value.
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