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Q: What is an example of a repeating decimal where two digits repeat and explain why the number is a rational number?
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When writing a repeating decimal as a fraction does the number of repeating digits you use matter Explain.?

Yes, of course. Different denominators in the rational equivalent give rise to different lengths of repeating strings.


Are all terminating and repeating decimals rational numbers Explain?

Yes, they are.


Explain Why is 0.55555 is a rational number?

It can be written in the form of the ratio 55555/100000.


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a rational number is any number that can be written as recurring decimal, and therefore a fraction as well.e.g. 1/2 = 0.5000000000000... & 1/3 = 0.333333333333... however, 0.101100110001100001... although it can be predicted can not be written as a recurring decimal and is therefore irrationalalso, the number 4 = 4.00000000000 and 4/1 therefore is a rational number


Can the sum of two irrational numbers be rational if give an example if not explain why not?

1 + sqrt(2) is irrational 1 - sqrt(2) is irrational. Their sum is 2 = 2/1 which is rational.


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explain decimal to BCD encoder


Are all terming and repeating decimals rational numbers explain?

Yes they are.A terminating number such as a.bcdef is equivalent to abcdef/1000000. A repeating number such as a.bcdbcd... is equivalent to abcd/999 [the number of 9s is the length of the repeating string of digits.] So, in both cases the number can be written in the form of p/q where p and q are integers and q > 0.


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Because it is a very simple example to explain both games theory and rational choice theory. It's simple to explain and really, really easy to understand.


Is 5 a rational number explain?

5 is rational, because it can be written with a finite number of digits (only one digit, as it turns out). The fraction one third, in comparision, written as a decimal looks like .33333333333... in an infinite expansion, which makes it irrational.