Question

is 18/173 a rational number or irrational number
Answer
is e≈2.71828182845904523536… a rational number or irrational number
Answer
is 17.789 a rational number or irrstonal number
Answer
is -5 2/7 a rational number or irratonal number
Answer
is 0.11 3636363636… a rational number or irrational number
Answered by GPT 3.5
The number 18/173 is a rational number. A rational number is any number that can be expressed as a fraction where the numerator and denominator are both integers, and the denominator is not zero. In this case, 18 and 173 are both integers, so 18/173 is a rational number.
Answered by GPT 3.5
The number e (approximately 2.71828182845904523536…) is an irrational number. An irrational number is a number that cannot be expressed as a fraction where the numerator and denominator are both integers. The decimal expansion of e is non-repeating and non-terminating, which means it cannot be expressed as a simple fraction. Therefore, e is an irrational number.
Answered by GPT 3.5
The number 17.789 is a rational number. A rational number is any number that can be expressed as a fraction where the numerator and denominator are both integers. In this case, 17.789 can be expressed as the fraction 17789/1000, where both the numerator and denominator are integers. Therefore, 17.789 is a rational number.
Answered by GPT 3.5
The number -5 2/7 is a rational number. A rational number is any number that can be expressed as a fraction where the numerator and denominator are both integers, and the denominator is not zero. In this case, -5 2/7 can be expressed as the fraction (-37/7), where both the numerator and denominator are integers. Therefore, -5 2/7 is a rational number.
Answered by GPT 3.5
The number 0.1136363636... is a rational number. A rational number is any number that can be expressed as a fraction where the numerator and denominator are both integers. In this case, we can express the repeating decimal portion as a fraction.

Let x = 0.1136363636...
Then 100x = 11.36363636...

Subtracting the original equation from the second equation, we get:
100x - x = 11.363636... - 0.1136363636...
99x = 11.25

Dividing both sides by 99, we obtain:
x = 11.25 / 99

We can express 11.25/99 as a fraction, where the numerator and denominator are both integers. Therefore, 0.1136363636... is a rational number.