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Grammar detail: かいがある・かいがあって

かいがある・かいがあって  to be effective, to be worth doing
168 words
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plain form phrase + かいがある
or
plain form phrase + かいがあって + consequence
means
worth doing (phrase) so that (consequence)
かい
甲斐
, which uses the counting kanji 甲 (#1) together with the non-Joyo kanji 斐 (beautiful), is a deep concept in Japanese. It is used to mean 'value' or 'benefit', usually in the sense of meaning or purpose. It is most commonly encountered as part of the expression
いきがい
生き甲斐
, which might be translated as 'life purpose' or 'value for living'.
The expression かいがある is most commonly found in kana, and is used to mean that something brings value - i.e., it is worth doing.
くしん
苦心
かい
甲斐
あった
That was well worth the trouble.
った
かいがあります
This is really invigorating!
It can be used in the て form and followed by a summary of the actual benefit.
まいにち
毎日
れんしゅう
練習
した
かい
甲斐
があって
にほんご
日本語
じょうず
上手
になった
It was worth practicing every day as I got good at Japanese.
The が can be replaced with の, enabling the whole expression to act as an adjective:
かれ
たよ
がい
甲斐
ある
じょうし
上司

He is a dependable boss.
The opposite expression is かいがない, which can also be written in kanji as 甲斐が無い.
この
くるま
なお
して
かい
甲斐

This car isn't worth repairing.
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Kanji used in this grammar

コウ   カン    #1, first; armor   
ヒ    beautiful   
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セイ   ショウ    life   なま raw   いかす to enliven   いきる to live   いける to arrange flowers   うまれる to be born   う to give birth to   き pure, undiluted   お to grow, to sprout   はえる to grow, to sprout   はやす to grow, cultivate   
ム   ブ   な not   
ク   くるしい painful   くるしむ to suffer   くるしめる to torment   にが bitter   にが to feel bitter   
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シン   こころ heart   
シン   み body, person   
セツ   サイ   き to cut   きれる to break, to snap   
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マイ   every, each
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ニチ   ジツ   sun; day   ひ    -か    
レン   ね to polish up, knead, train   
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シュウ   なら to learn   
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ホン   book   もと origin   
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ゴ   かた to talk, relate   かたらう to talk together, chat   
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ジョウ   ショウ   うえ above   うわ- above   あげる to raise   あがる to rise   かみ first half, upper part   のぼ to climb   のぼせる to bring up, to raise   のぼ to bring up   
シュ   hand   て    た-    
ヒ   かれ he   
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ライ   たよ to rely (on)   たのもしい reliable   たの to ask(for), entrust   
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シ    administer   
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シャ   くるま car   
チョク   ジキ    honest; direct   なお to correct   なお to be cured   ただちに immediately   
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