Chinese · Pronunciation Guide
Like the English word "are", said with a hard falling pitch. It is the one Mandarin syllable where an r-coloured vowel is genuinely correct.
èr
One syllable, one tone, and no sandhi — fourth tones only change when they are 不 or 一. What is worth knowing instead is that 二 does not appear before measure words: for counted quantities Mandarin switches to 两 liǎng, so you will hear èr in counting, numbers and ordinals but rarely in front of a noun.
Listen: 二
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我住在二楼。
Wǒ zhù zài èr lóu.
I live on the second floor.
Listen: 我住在二楼。
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我住在二楼。 gives you three falling tones in a row — zhù, zài, èr — before landing on the rising lóu. That run of drops is a genuinely hard rhythm for beginners, because English wants to level out repeated falls. Each one should re-start at the top rather than continuing down from where the last ended.
The two errors here pull in opposite directions. Some learners, warned that Mandarin has no English r, suppress the r-colouring and say "ah", which is wrong for this particular syllable. Others make it a full English "err" with a level pitch, losing the fall. Aim for the vowel of "are" with a sharp downward pitch across it.