Question

Classify the following number 8.4444

Answer 1

rational number

Explanation:

Natural numbers:

This is every number in the sequence 1, 2, 3, 4...

Whole numbers:

This is all of the above, but it also includes 0.

Integers:

All of the above, but this also includes negative numbers.

Rational numbers:

A rational number is any number than can be represented as a fraction of 2 integers. All of the above are also rational numbers, and below are some other examples:

`1.125, (1)/(3), -5(2)/(7)`

Irrational numbers:

Basically anything that wasn't covered above. These cannot be represented as a fraction of 2 integers.

`\pi, √(3)`

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You don't make it clear if this is a repeating decimal or not, but either way, this is a rational number as you can represent it as a fraction:

`8.4444=(21111)/(2500)`

In the case that it was a repeating decimal, those are also rational numbers. Take this for example:

`0.3333333...`

This is rational:

`(1)/(3)=0.333333...`