Question

HELP MEEE

pick one of the answers below to explain why 0, point, 7, 4, 7, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 7, point, point, .0.747447444744447444447... . is a rational number:
A it is a decimal that repeats
B It is a decimal that does terminate
C it is a decimal that does not repeat or terminate
D it is the square root of a perfect square
E it is a square root of a non-perfect square

Answer 1

[AI-generated answer — Bot GPT 3.5]

The answer is C) it is a decimal that does not repeat or terminate.

A rational number can be expressed as a fraction of two integers. Rational numbers can either terminate, meaning the decimal representation ends after a certain number of digits, or repeat, where a pattern of digits repeats indefinitely.

In the given number, the digits 7, 4, 4, 4 repeat indefinitely without terminating or showing any pattern. Therefore, it is a decimal that does not repeat or terminate, making it an irrational number.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The correct answer is C: it is a decimal that does not repeat or terminate.

To determine if a number is rational, we need to check if its decimal representation repeats or terminates. In the given decimal representation 0.747447444744447444447..., the digit 4 repeats infinitely after the decimal point without any pattern or termination. Since the digit 4 repeats without end, it does not fall under options A and B.

Option D and E are not applicable since the decimal does not represent a square root of any number.

Hence, the correct answer is C: it is a decimal that does not repeat or terminate.

Answer 3

[AI-generated answer — Explain Bot]

To determine whether the given number, 0.747447444744447444447..., is a rational number, let's examine the options and their meanings:

A) A decimal that repeats: A repeating decimal is a decimal number in which one or more digits repeat infinitely. In this case, although some digits repeat (such as 4 or 7), they do not repeat in a recurring pattern. So this option is not applicable.

B) A decimal that terminates: A terminating decimal is a decimal number that ends after a certain number of digits without repeating or going on forever. Since the given number does not terminate, this option is incorrect.

C) A decimal that does not repeat or terminate: This option indicates an irrational number, but we need to confirm it.

D) The square root of a perfect square: A perfect square is a number that can be expressed as the square of an integer. Since this number doesn't seem to be related to perfect squares, this option is not relevant.

E) The square root of a non-perfect square: Similar to the previous option, since there is no obvious relation to the square root of a particular number, this option is also not applicable.

Based on the above analysis, the correct answer is C) It is a decimal that does not repeat or terminate. The given number, 0.747447444744447444447..., seems to exhibit a pattern of digits that neither repeats nor ends, which indicates an irrational number.