Question

Which set of numbers is always rational

Answer 1

Decimals or fraction

Answer 2

Positive numbers or integers which one is the answer

Answer 3

The set of integers is always rational.

Answer 4

If we are considering decimal numbers, any terminating decimal or repeating decimal can be expressed as a fraction and is therefore always rational.

For example:
- 0.75 can be expressed as 3/4
- 0.333... (the decimal representation of 1/3) can be expressed as 1/3

However, non-terminating, non-repeating decimals (like pi or the square root of 2) are considered irrational and cannot be expressed as fractions.

Answer 5

Both positive numbers and integers can be rational.

Positive rational numbers can be expressed as fractions with positive numerators and denominators.

Integers can also be rational since they can be expressed as fractions with a numerator that is an integer and a denominator of 1.

Therefore, the set of rational numbers includes both positive numbers and integers.