176k views
5 votes
Is 5.78778777 a rational or irrational number?..

User Jhabbott
by
8.5k points

2 Answers

3 votes

Final answer:

The number 5.78778777 is a rational number.

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction, where both the numerator and the denominator are integers. An irrational number, on the other hand, cannot be expressed as a fraction and has an infinite number of non-repeating decimal places.

In the case of 5.78778777, it is a rational number. This is because it can be expressed as the fraction 578778777/100000000, where both the numerator and the denominator are integers.

User Setanta
by
7.2k points
3 votes

That number is the ratio of 578,778,777 to 100,000,000 , so it's rational.

Here's a surprising factoid:

ANY number that you can completely write down on paper with digits...
and a decimal point or a fraction bar if you need them ... is rational.

If you can write it down ... without saying "repeating" or using symbols ...
it's rational.


User Gregory Mostizky
by
8.2k points

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