Suppose that a number written as a decimal has an infinite number of non-repeating digits after the decimal point. What is this

Question

frez [133]

3 years ago

6

Suppose that a number written as a decimal has an infinite number of non-repeating digits after the decimal point. What is this

number called?
Oirational
natural
unnatural
rational
Hell yall

Mathematics

1 answer:

emmasim [6.3K] · Answer 1 · 2022-05-30T15:18:21+03:00

Answer:

Irrational

Step-by-step explanation:

The number is called an irrational number.

These numbers have some distinct properties. The number of numbers after the decimal point is infinite. What this means is that it does not terminate. It keeps on repeating.

Also, these numbers cannot be represented as a ratio of two integers i.e two whole numbers. This is because they keep on going without termination.

Lastly is that these numbers do not repeat after decimal. What I mean by this is that they do not keep repeating a particular number after the decimal point. For example in cases like 2.33333; these are infinite too, but they can be represented by the ratio of two whole numbers and in such cases, they are not irrational in their own respect