Ax An irrational number written in decimal form will be nonterminating and non

Question

essential
repeating

Answer 1

It seems there might be a small typo in your question. An irrational number written in decimal form is indeed nonterminating and non-repeating.

To clarify:

• Nonterminating: The decimal representation of an irrational number goes on forever without ending.
• Non-repeating: The digits in the decimal representation do not form a repeating pattern.

For example, the number \(\pi\) (approximately 3.14159...) is an irrational number, and you can see that its decimal goes on forever without repeating any sequence. Similarly, the square root of 2 (\(\sqrt{2}\), approximately 1.41421...) is also an irrational number with a nonterminating, non-repeating decimal expansion.