How do you call different methods for writing numbers (notations)?

Are there proper terms for the methods of writing numbers in kanji (literal vs powers-of-10)?

vs

If not (or the terms are too scientific) how to differentiate between them in speech? Like 「〇〇文字を使って、書いて下さい」

I am primarily asking for Japanese terms, but I have no clue about English either (initially though of decimal, but in fact both methods use decimal system).

• In English we can talk about whether a numeral system is positional. (一五三六 is, 千五百三十六 isn't.) Positional systems are often called place-value systems, and the non-positional system in question here is sometimes called a multiplicative system. (You can find more information searching for these terms!) – snailplane Oct 20 '15 at 1:17
• Excel uses the name 漢数字 for the first notation, but surprisingly there is no setting for 位取り表記法, so I am still not sure if it is unambiguous. – macraf Oct 20 '15 at 2:24

Wikipedia says that, in English, 10000 is written as `10000` in 記数法 and as `ten thousand` in 命数法.