Question

True or False?

1. All real numbers are either rational or irrational?

2. Every real number can be represented as a decimal, and every decimal represents a real number?

Answer 1

"Every real number can be represented as a decimal, and every decimal represents a real number"

Every real number can be represented as a decimal --> True since non-terminating decimals are decimals too.

And every decimal represents a real number --> This is just the vice versa of the first statement. Hence true.

That's making the whole statement true. So both the statements are true.