個別指導塾スタンダードのお役立ち情報
暗算のコツ5つを紹介!2桁・3桁の計算にも活用できるテクニックを解説
暗算とは、頭のなかだけで行う計算作業です。計算機・パソコン・スマホなどの使用はもちろん、紙やノートなどに手書きすることもしません。ツールを使わない分、結果が早く求められる利点が暗算にはあります。また、より速く行うためのテクニックも多く存在します。今回は5つをピックアップして紹介します。
暗算を速く行うコツがある
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)
暗算ができて困ることはありません。学校生活だけでなく、大人になり仕事をする上でも、さまざまなタイミングで暗算は活用できます。よく使うのが買いものに出かけたシーンかもしれません。合計でいくら買ったのか・割引価格で結局いくら払えばいいのかなど、あなたも無意識に暗算を活用しているでしょう。
そんな暗算を速く行うためのコツがあります。学校の授業で習う計算の方法や流れを否定するわけではありませんが、仕事で忙しい親御さんこそ暗算をより速く行い時間を節約して好きなことに当てる時間を作ってみてはいかがでしょうか。大人になっても活用できる暗算のコツ5つをみていきましょう。
暗算を速く行うコツその1:計算式を簡略化する
![暗算を速く行うコツその1:計算式を簡略化する](data:image/webp;base64,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まずは計算しにくい数字を計算しやすい数字に置き換える方法をやってみましょう。手順は下のとおりです。
(1)計算しにくい数字を、計算しやすい数字に置き換える
(2)計算しやすい数字と計算しにくい数字と差を計算する
(3)最後につじつまがあうように計算する
例として「645+794=?」を計算してみましょう。
700+794=1494 ←645を計算しやすい数字「700」に置き換える
700-645=55 ←700と645の差を求めた
1494-55=1439 ←計算しにくい数字を置き換えて加算した最初の計算の結果から、700と645の差を引く
かけ算もやってみましょう。「89×4=?」を計算してみます。
90×4=360…① ←89を計算しやすい数字「90」に置き換える
(90-89)=1 ←90と89の差を求めた
360-(1×4)=356 ←90と89の差には×4されていたため、①から引くときに1に×4するのを注意
また一の位や十の位が0になる数だけでなく、下のような数字を置き換えた方が計算しやすい場合もあります。テストでなければ、結果が合えばどんな計算をしてもかまいません。計算しやすいように工夫してみましょう。
「10000-627=?」
9999-627=9372 ←繰り下がりの計算で迷わないように万の位から千の位に下げた
9999-10000=-1
9372-(-1)=9373
暗算を速く行うコツその2:計算式を分解する
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)
複雑な式を計算しやすく分解するのも有効です。早速、具体的な計算例をみてみましょう。
「16×25=?」
分解するときは、数字や数式をかけ算の形で表す式変形(因数分解)を行います。上の例題では、16を因数分解してみましょう。すると16=4×4が登場しました。25は×4にすると100という計算しやすい数に変形できます。まとめると下のように答えの400が簡単に導けるでしょう。
16×25
=4×4×25
=4×100
=400
「5×(47+12)=?」
こちらはいかがでしょうか? 記号の通りに足し算から行って5×59にしたい気持ちを抑えて、次のような計算をしてみてください。
5×(47+12)
=5×(40+7+12)
=(5×40)+(5×7)+(5×12)
=200+35+60
=295
先ほどは足し算からかけ算にしましたが、こちらでは逆にかけ算の形になっていた式を足し算の形に式変形(展開)して計算しました。
暗算を速く行うコツその3:左から右に計算する
![暗算を速く行うコツその3:左から右に計算する](data:image/webp;base64,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)
次は左から右に計算する方法です。学校の授業で習った筆算を思い出してください。筆算は小さい位から計算をはじめ、大きな位の方に計算を進めて、最後に合わせる方法でした。つまり右から左に計算する方法だといえます。
「239×7=?」
左から右に計算するとは、大きな位から計算して後から合算する方法です。一の位や十の位ごとに分けて計算する手法といってもいいでしょう。実際に計算してみます。
239×7
=200×7+30×7+9×7
=1400+210+63
=1673
また足し算でも同じように計算できます。
「1582+607=?」
1582+607
=1000+(500+600)+(80+0)+(2+7)
=1000+1100+80+9
=2189
暗算を速く行うコツその4:掛け算の暗算では倍数を活用
![暗算を速く行うコツその4:掛け算の暗算では倍数を活用](data:image/webp;base64,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)
1から20までの2乗の倍数を覚えるように数学の授業でいわれた人も多いのではないでしょうか。二乗数や自乗数と呼ばれる場合もありますが、覚えておくと下のような流れの暗算に使えます。
(1)2つの数字の平均値を計算する
(2)式の項と平均値の差を求める
(3)平均値の二乗数を計算する
(4)(2)の二乗数を計算する
(5)(3)から(4)を引く
「15×13=?」
(15+13)÷2=14
15―14=1、14―13=1
142=196
12=1
196-1=195
「19×13=?」
(19+13)÷2=16
19―16=3、16―13=3
162=256
32=9
256-9=247
暗算を速く行うコツその5:割合に関する暗算はかけ算に置き換える
![暗算を速く行うコツその5:割合に関する暗算はかけ算に置き換える](data:image/webp;base64,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)
冒頭で買いものの話をしましたが、「540円の2割引」など割合を用いて示された場合はかけ算に置き換えると計算しやすくなります。
「540円の2割引は?」
2割は、パーセントで表せば20%・小数で表せば0.2です。かけ算で表すからと、540×20%(0.2)……とすれば良いわけではありません。元々の数(この問題では540円)を割合で表すと10割になります(「100%」と書いた方が分かりやすいかもしれません)。「2割引」とは「元々の数の2割」ではなく、「元々の数から2割分だけ引いた数」なのです。そのため「元々の数の8割」の値を求めるのが正解になります。
540円の2割引は?
=540円×(100%―20%) [540円×(1―0.2)]
=540円×80% [540円×0.8]
=432円
そろばんを習うと暗算が速くなる?
![そろばんを習うと暗算が速くなる?](data:image/webp;base64,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)
暗算を行うとき、「そろばん」を頭に思い浮かべて計算している人がなかにはいるのではないでしょうか。実際にそろばん教室などに通っていて、そろばん自体がなくても指で弾く仕草さをしながら計算する癖がついている人もいるでしょう。
またそろばんといえば、“そろばんを習うと暗算が速くなる”との意見を耳にした経験がある人も多いかもしれません。諸説ある話で必ずとは言い切れませんが、そろばんの構造はシンプルで脳内でもイメージがしやすいため、上で説明したような方法論で暗算を素早くしている人は確かにいます。お子さんはもちろん、大人向けの教室や参考書もありますので、暗算を速くしたいと考えている人はそろばんを習いに行ってもいいかもしれません。
そろばんのほかにも、「100マス計算」は算数や数字への苦手意識を和らげるのにおすすめです。さらに四則演算を使って遊ぶ計算ゲーム「ジャマイカ」(増田屋コーポレーション)を親子で一緒にやってみるのも良いでしょう。幼いお子さんでも利用できるので、ご家庭で遊びながら計算力を上げてみてはいかがでしょうか。
暗算を速く行う方法をほかにも調べてみよう
![暗算を速く行う方法をほかにも調べてみよう](data:image/webp;base64,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)
d=765471085
あなたも暗算を多くのタイミングで活用しているはずです。親御さんは、お子さんが暗算を速くできるようになって算数や数学の学習に生かしてほしいと思われたかもしれません。暗算を速くするコツを5つ紹介しましたが、インターネットなどで調べればまだまだ多くの方法論が紹介されています。気になる人はぜひ調べてみてください。
監修:子育てアドバイザー/道山ケイ
親を変えることで子どもの成績を上げるプロとして活躍。年間3000組の親子をサポートし、約7割の親子関係が良好に変化。元中学校教師で、学級崩壊の地獄と学年最下位クラスを9ヶ月でTOPに変えた天国を経験。この体験から思春期子育て法を確立。 HP:https://tyugaku.net/