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aev [14]
3 years ago
8

Is -6.743743… a rational or irrational number?

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

It's rational because it contains a repeating digit pattern, 743 (first option).

In particular, if

<em>x</em> = -6.743743…,

then

1000<em>x</em> = -6,743.743743… .

Subtracting, we can eliminate the trailing end and solve for <em>x</em> exactly:

1000<em>x</em> - <em>x</em> = -6,743.743743… - (-6.743743…)

999<em>x</em> = -6,737

<em>x</em> = -6,737/999

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