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

Yes, they are.

.6

7.1892

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.

Related questions

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

Yes, they are.

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

.6

It is a rational number because it is a terminating decimal number which can also be expressed as a fraction

7.1892

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

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

explain decimal to BCD encoder

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.

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.

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.