Question

Determine if 0, point, 4, 7, 4, 4, 3, 3, 5, 0, 4, 2, 0, 9, 6, 3, 4, 7, dot dot dot0.4744335042096347... is rational or irrational and give a reason for your answer.
Answer
Attempt 1 out of 5

The number 0, point, 4, 7, 4, 4, 3, 3, 5, 0, 4, 2, 0, 9, 6, 3, 4, 7, dot dot dot0.4744335042096347... is
because
( it is a decimal that does not repeat or terminate , it is the square root of a non-perfect square , it is the square root of a perfect square , it is a decimal that repeats , it is a decimal that terminates. )

Answer 1

The number 0.4744335042096347... is **irrational** because it is a decimal that does not repeat or terminate.

Rational numbers can be expressed as the fraction of two integers and have decimal representations that either terminate (like 0.5 or 2.75) or repeat (like 1/3 = 0.333...). However, if a decimal continues indefinitely without forming a repeating pattern, it is classified as an irrational number. In this case, since the decimal is provided with a non-repeating sequence, we can conclude it is irrational.