個別指導塾スタンダードのお役立ち情報
「絶対値」とは?基本を知れば絶対値を理解するのは難しくない
数学は積み重ねが大切です。それは「絶対値」の単元でもよく理解できる言葉かもしれません。最初はシンプルに「|」を外すだけでよかったのに、符号や変数が絡んだり、場合分けが発生したりする間に着いていけなくなった人も多いのではないでしょうか。
今回は絶対値を基本に立ち返って勉強します。シンプルな基本をしっかり押さえて、応用問題にもチャレンジできるようになりましょう。
温度計を使って絶対値を考えよう
![温度計を使って絶対値を考えよう](data:image/webp;base64,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絶対値とは、原点0からの距離をあらわす値です。ただ、これだけではよく分からない人もいるでしょう。より具体的に説明していきます。
理科の授業や自宅などで上の写真に載っているようなアナログ式の温度計を見た経験はないでしょうか。上の温度計は小さい目盛り1つが2℃分のため、気温が16℃であるのを示しているのは分かるでしょう。つまり「気温は+16℃」。これを言い換えると、“0℃を基準にして、0℃よりも16℃ほど気温が高い”となります。
さらに、上の画像には「0」の下に「10」や「20」などの数字が見えます。温度計の仕組みを知っている人は、0の下にある10が「-10℃」、20が「-20℃」を示す値だとわかるでしょう。仮に温度計の真ん中の赤い棒が0より下の10の位置にきたら「気温は-10℃」です。先ほどと同じく言い換えると“0℃を基準にして、0℃よりも10℃ほど気温が低い”となります。
絶対値は距離、符号は方向
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上の説明から最後の一文をそれぞれ抜き出してみましょう。あとの説明のために「16℃」を(A)、「―10℃」を(B)と呼んで説明していきます。
(A) 16℃ → 0℃を基準にして、0℃よりも16℃ほど気温が高い
(B) -10℃ → 0℃を基準にして、0℃よりも10℃ほど気温が低い
(A)と(B)を比べると違う部分が2つあるのが分かるのではないでしょうか。「16」と「10」、「高い」と「低い」です。ここであらためて温度計を思い出してみてください。「高い」は赤い棒が上の方向に、つまり「+」の方向に伸びているのを指し、「低い」は下の方向(「-」の方向」)に伸びているのを意味しているのです。
そして、(A)の「16」と(B)の「10」はそれぞれ0からどれくらい離れているのかを示す値です。このように、+・-の符号で表される方向を気にせず、原点0からの距離をあらわす値が「絶対値」……という冒頭の説明に戻るのでした。
絶対値の記号「|」を外す方法
![絶対値の記号「|」を外す方法](data:image/webp;base64,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)
|20|や|-4|のように2本の「|」で数字を挟み、絶対値は表現します。(A)・(B)の絶対値は下のように表します。
(A) |16| = 16
(B) |-10| = 10
見てわかるように+と-の方向は絶対値では問われません。そのため(A)のように「|」の中の数字が正の数の場合はもちろん、(B)のように負の数であっても絶対値に符号はつきません。
違う言い方をすれば、絶対値は“距離”を表す値のため負の数にはならず、かならず正の数になります。100m走はあっても、-100m走はありえません。-100m走の場合は、“-の方向に0から100mだけ走る”ことであり、0からの距離は100mなのです。
絶対値の中が文字列の場合
![絶対値の中が文字列の場合](data:image/webp;base64,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)
また「|」の中が数字であればわかりやすいのですが、なかには文字列が入ってくる場合があります。たとえば|x|や|a-5|などです。絶対値の中が文字列の場合は、中身が正か負かで場合分けをする必要があるので注意しましょう。
|x|のように絶対値の中身が変数1つだけの場合をまず説明します。シンプルに下の2パターンで場合分けして計算していきます。
x>0のとき|x|=x
x<0のとき|x|=-x
「x<0のとき|x|=-x」と見ると、「-」がついていて“絶対値はかならず正の数になる”ルールに矛盾しているように見えるかもしれません。しかし、「x」自体が負の数のため、わざと「-」をつけて-×-で、正の数にしているのです。
次は|a-5|を見てみましょう。絶対値の中に変数と合わせて数字や符号が入って数式になっている場合は、符号に注意しなければなりません。
a−5>0 → a>5のとき|a−5|=a−5
a−5<0 → a<5のとき|a−5|=−(a−5)=−a+5
まずは、a−5が正なのか負なのかを最初に整理します。結果的に「a>5のとき」と「a<5のとき」となっていますが、「|」の中身が正なのか負なのかを場合分していると考えてください。
そして、中身が正の場合(a>5のとき)は、+・―は変わらないためシンプルに「|」を外せばOKでした。中身が負の場合(a5のとき)は、―をかけて正の数にしなければならないため、−×(a−5)になります。展開する場合、+の数の符号は-にかわり、―の符号は+に変わります。よって、「a」には-がつき、「5」の前にある-は+に変わるのです。
絶対値の問題に挑戦!
![絶対値の問題に挑戦!](data:image/webp;base64,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)
絶対値の意味や扱い方がわかったところで問題にチャレンジしてみましょう。答えは一番下にありますので、解いてからチェックするようにしてください。
Q1:次の数の絶対値を答えなさい。
a) 4
b) +0.5
c) -6
d) 0
Q2:次の数の絶対値を求め、絶対値の大きい順に並べなさい。
a) -2
b) 3.26
c) -4.9
基本を思い出しながら丁寧に絶対値は計算
![基本を思い出しながら丁寧に絶対値は計算](data:image/webp;base64,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符号が絡んだり、変数が絡んだりすると難しく感じられるかもしれませんが、絶対値のルール自体はシンプルです。今回説明してきたとおり、“絶対値は正の数しかありえない”のをしっかり念頭に置きましょう。そこから焦らず丁寧に符号を整理したり、場合分けしたりしてみてください。あらゆる形で問題では問われますが、演習をこなしているうちに落ち着いて解答できるようにもなるでしょう。
[練習問題の答え]
Q1
a)4 →“+”も“―”もついてないのでそのまま
b)0.5 →“+”を取って考えましょう
c)6 →“―”を取って考えましょう
d)0 →絶対値は0からその数までの距離。0から0までの距離は0なので、絶対値も0
Q2
解答:c(―4.9)→b(3.26)→a(-2)
a~cをそれぞれ符号を無視して考えると……
a)2、b)3.26、c)4.9
……なので、大きい順に数字を並べると……
4.9>3.26>2
……になります。