18. Tom is trying to write as a decimal. He used long division and divided
until he got the quotient 0.0638297872, at which point he stopped. Since
the decimal doesn't seem to terminate or repeat he concluded that is
not rational. Do you agree or disagree? Why?

Question

03-12-2021
Mathematics

contestada

18. Tom is trying to write as a decimal. He used long division and divided
until he got the quotient 0.0638297872, at which point he stopped. Since
the decimal doesn't seem to terminate or repeat he concluded that is
not rational. Do you agree or disagree? Why?

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Answer:

disagree; long division gives the result of computing the ratio of integers--a rational number

Step-by-step explanation:

If Tom is dividing one integer by another, he already knows the value is rational. (A rational number is the ratio of two integers.)

It appears Tom's number is 3/47, which has a 46-digit repeating decimal fraction. Tom will not see the repeat unless he continues way beyond the 10 digits he has computed so far.

18. Tom is trying to write as a decimal. He used long division and divided until he got the quotient 0.0638297872, at which point he stopped. Since the decimal doesn't seem to terminate or repeat he concluded that is not rational. Do you agree or disagree? Why?

Respuesta :

Otras preguntas

18. Tom is trying to write as a decimal. He used long division and divided
until he got the quotient 0.0638297872, at which point he stopped. Since
the decimal doesn't seem to terminate or repeat he concluded that is
not rational. Do you agree or disagree? Why?