加 means “add, join”

くわえる · kuwaeru

Also: addition, increase

Kun'yomi (Japanese reading)
くわえる, くわわる
On'yomi (Chinese reading)
カ

JLPT N3 · Taught in grade 4 · 5 strokes

The story

Strength (力) with a mouth (口) beside it: picture a shout that adds force to the push. 加える is to add, 参加 is joining in, and 追加 is one more round called out to the staff at an izakaya.

Used in 参加 (sanka, participation), 追加 (tsuika, addition), and 加える (kuwaeru, to add)

More from How Much, How Many

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Readings from KANJIDIC2, © EDRDG, CC BY-SA.