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The rational fraction, one third, can be represented as a non terminating decimal, with the digit 3 repeating for ever.

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โˆ™ 2016-06-25 14:42:58
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Q: How do you use non terminating decimal in a sentence?
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How do you use terminating decimal in a sentence?

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If a non-terminating decimal that is not a fraction is called irrational what do you call a non-terminating decimal that is a ratio of rational numbers such as 1 over 7?

It is called a rational number. The rational numbers are closed under the operations of addition, subtraction, multiplication, and division (not dividing by 0). The fact that it is not terminating is not important at all. In fact, if we use other bases besides base 10, we will see that the set of numbers that are rational or irrational doesn't change. However, if we use another base, for example base 3, then the number 1/3 in base 3 can be represented with a terminating "decimal" (technically not decimal). The set of rational numbers that have terminating "decimals" depends on the base.


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