How is (2.07\overline{36}) written in ordinary decimal form?

Correct answer: (2.07363636\ldots)

The direct answer is A: \(2.07363636\ldots\). The notation \(2.07\overline{36}\) means that the digits 07 occur once after the decimal point and only the block 36 is repeated. Therefore write 2, then 07, then 36 again and again: \(2.07363636\ldots\). Option A is exactly this expansion. Option B, \(2.0736736\ldots\), changes the repeating order and inserts an incorrect digit. Option C, \(2.07073636\ldots\), repeats or inserts 07 again, although the bar is not over 07. Option D, 2.0736, stops after one copy and is therefore not the full recurring decimal. The bar tells you precisely which digits repeat; it does not mean that every digit after the decimal repeats. Memory cue: first write the digits outside the bar once, then repeat only the digits under the bar forever.