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  <meta name="description" content="把“78穿13成”按乘法题来理解，就是计算78×13。结果是1014，也就是78乘13等于1014。可以把13拆成10和3，分别计算后再相加：78×13＝78×（10＋3）＝780＋234＝1014。竖式计算  　　78  ×　13  ────  　 234  　 780  ────  　1014竖式中，先用个位上的3乘78，得到234；再用十位上的1乘78。这个1实际表示">
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  <meta property="og:description" content="把“78穿13成”按乘法题来理解，就是计算78×13。结果是1014，也就是78乘13等于1014。可以把13拆成10和3，分别计算后再相加：78×13＝78×（10＋3）＝780＋234＝1014。竖式计算  　　78  ×　13  ────  　 234  　 780  ────  　1014竖式中，先用个位上的3乘78，得到234；再用十位上的1乘78。这个1实际表示">
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    "description": "把“78穿13成”按乘法题来理解，就是计算78×13。结果是1014，也就是78乘13等于1014。可以把13拆成10和3，分别计算后再相加：78×13＝78×（10＋3）＝780＋234＝1014。竖式计算  　　78  ×　13  ────  　 234  　 780  ────  　1014竖式中，先用个位上的3乘78，得到234；再用十位上的1乘78。这个1实际表示",
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            <h1 itemprop="headline">78穿13成等于多少？计算结果与列式解析</h1>
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                <time class="article-time" itemprop="datePublished" datetime="2026-11-15T10:22:47+08:00">2026-11-15 10:22:47　来源：山东大众网</time>
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              <p>把“78穿13成”按乘法题来理解，就是计算78×13。结果是<strong>1014</strong>，也就是78乘13等于1014。可以把13拆成10和3，分别计算后再相加：78×13＝78×（10＋3）＝780＋234＝1014。</p>

<h2>竖式计算</h2>
<div>
  <p>　　78</p>
  <p>×　13</p>
  <p>────</p>
  <p>　 234</p>
  <p>　 780</p>
  <p>────</p>
  <p>　1014</p>
</div>
<p>竖式中，先用个位上的3乘78，得到234；再用十位上的1乘78。这个1实际表示10，所以第二个部分积是780，而不是78。最后把234与780相加，得出1014。</p>

<h2>分步看每一位的计算</h2>
<p>先算个位乘法：8×3＝24，个位写4，向前一位进2；再算7×3，并加上进位的2，得到7×3＋2＝23。于是78×3＝234。</p>
<p>再算十位部分：13中的1在十位上，代表10，因此78×10＝780。也可以把78向左移动一位，在末尾补上一个0，得到780。最后进行加法：234＋780＝1014。</p>
<p>把计算拆开写，能够看清每个数位的含义：78×3负责个位上的3，78×10负责十位上的1。两个部分积相加，才是完整的乘积。若竖式中把第二行写成78，就相当于只算了78×1，漏掉了十位所代表的10，结果会少算一大截。</p>

<h2>用拆分法再算一次</h2>
<p>13可以写成10＋3，因此：</p>
<p><strong>78×13＝78×（10＋3）＝78×10＋78×3＝780＋234＝1014。</strong></p>
<p>这个方法和竖式的计算顺序完全一致，只是把每一步展开写出来。先计算78的10倍，再计算78的3倍，最后相加。拆分后，容易检查乘数的位值，也能避免把十位上的1错当成个位上的1。</p>
<p>还可以把78拆成70＋8来验证：13×70＝910，13×8＝104，910＋104同样等于1014。乘法交换两个因数的位置，积不会改变，所以78×13和13×78的结果相同。这种换位计算适合用来复核答案，但竖式的部分积仍需按照当前排列正确对齐。</p>

<h2>怎样检查1014是否合理</h2>
<p>可以先做估算：78接近80，13保持不变，80×13＝1040。准确结果1014比1040略小，符合78小于80的情况。如果算出1040或明显大于这个数，就应回头检查是否把78误换成80；如果得到234，则很可能只完成了78×3，漏掉了78×10。</p>
<p>也可以用逆向除法核验：1014÷13＝78。验证时，13×78又可以拆为13×（70＋8），即910＋104＝1014，能够回到原来的乘积。估算用于判断数量级，逆向计算用于检查结果，两种方法都能帮助发现进位或数位错误。</p>

<h2>容易混淆的地方</h2>
<p>乘法和加法的结果不同。若题目写的是78＋13，计算结果是91；若题目表示78×13，计算结果则是1014。这里按“78乘13”来计算，不能把两个数直接相加。遇到口述或输入中乘号表达不清的题目，先确认运算符，再进行计算，就不会把加法与乘法混在一起。</p>
<p>另一个常见错误是只算个位，不算十位；还有一种错误是计算78×3时忘记进位。按“个位乘、十位乘、部分积相加”的顺序书写，并留意十位上的1代表10，能够避免这两类问题。</p>
<p><strong>答案：78×13＝1014。</strong></p>
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