4.10小数被整数整除

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• 选择节小数被整数整除

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  小数被整数整除

  

  [Figure 1]

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  Jack has 15.62 yards of fabric leftover from a project. He wants to make blankets and donate them to the animal shelter. He thinks he can make 11 blankets. How long will each blanket be?
  ::杰克有15.62码的布料剩菜,他想做毯子,捐给动物收容所。他认为他可以做11条毯子。每条毯子还要多久?

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  In this concept, you will learn how to  divide  decimals by  whole numbers .
  ::在此概念中, 您将学习如何将十进制数除以整数 。

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  Dividing Decimals by Whole Numbers
  ::以整数区分的十进数

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  To  divide  means to split up into equal parts. Dividing a decimal number means splitting up the decimal value into sections.
  ::将小数点数分为小数点, 表示将小数点值分成小数点。

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  Here is a division problem.
  ::这是一个分裂问题。

  $$\begin{array}{r}4.64÷2=\underset{\_}{}\end{array}$$

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  In this problem, 4.64 is the  dividend . The dividend is the number being divided. The  divisor  is the number of parts the dividend is being divided into. The divisor is 2. Remember that the divisor goes outside of the division box in long division.
  ::在这个问题中,4.64是股息。股息是被分割的数字。分数是股息分为多少部分。分数是股息分为多少部分。分数是2。分数是2,要记住,股息在长的分割区划中超出分数框。

  $$\begin{array}{r}2\overline{)4.64}\end{array}$$

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  Dividing a decimal is similar to whole number division. First, divide the 2 into each number. Ignore the decimal for now.
  ::舍弃小数点后, 小数点与整组数字相似。 首先, 将 2 分隔为每个数字。 忽略小数点后, 现在忽略小数点 。

  $$\begin{array}{r}\begin{array}{rcl}& & 232\\ & & 2\overline{)4.64}\\ & & \underset{\_}{-2}\\ & & 06\\ & & \underset{\_}{-6}\\ & & 04\\ & & \underset{\_}{-4}\\ & & 0\end{array}\end{array}$$

   

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  Then, insert the  decimal point  into the  quotient . Bring the decimal point from its place in the division box directly up into the quotient.
  ::然后将小数点插入商数中。将小数点从分数框中的位置直接带入商数中。

  $$\begin{array}{r}\begin{array}{rcl}& & 2.32\\ & & 2\overline{)4.64}\end{array}\end{array}$$

   

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  The quotient of 4.64 divided by 2 is 2.32.
  ::4.64除以2除以2的商数为2.32。

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  Examples
  ::实例

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  Example 1
  ::例1

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  Earlier, you were given a problem about Jack and blankets.
  ::早些时候,你被问起杰克和毯子的问题

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  Jack wants to make 11 blankets from 15.62 yards of fabric. Divide 15.62 by 11 to find the length of each blanket.
  ::杰克想在15.62码的织物上做11条毯子。

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  First, ignore the decimal and divide as if this were two whole numbers.
  ::首先,忽略小数点和除法,仿佛这是两个完整的数字。

  $$\begin{array}{r}\begin{array}{rcl}& & 142\\ & & 11\overline{)15.62}\\ & & \underset{\_}{-11}\\ & & 46\\ & & \underset{\_}{-44}\\ & & 22\\ & & \underset{\_}{-22}\\ & & 0\end{array}\end{array}$$

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  Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.
  ::然后将小数点添加到商数中。将小数点从分数框中的位置移到商数中。

  $$\begin{array}{r}\begin{array}{rcl}& & 1.42\\ & & 11\overline{)15.62}\end{array}\end{array}$$

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  Each blanket will be 1.42 yards long.
  ::每条毯子长1.42码

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  Example 2
  ::例2

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  Find the quotient.
  ::找到商数。

  $$\begin{array}{r}66.3÷3\end{array}$$

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  First, ignore the decimal and divide as if this were two whole numbers.
  ::首先,忽略小数点和除法,仿佛这是两个完整的数字。

  $$\begin{array}{r}\begin{array}{rcl}& & 221\\ & & 3\overline{)66.3}\\ & & \underset{\_}{-6}\\ & & 06\\ & & \underset{\_}{-6}\\ & & 03\\ & & \underset{\_}{-3}\\ & & 0\end{array}\end{array}$$

   

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  Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.
  ::然后将小数点添加到商数中。将小数点从分数框中的位置移到商数中。

  $$\begin{array}{r}\begin{array}{rcl}& & 22.1\\ & & 3\overline{)66.3}\end{array}\end{array}$$

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  Find the quotient for the following problems.
  ::找到以下问题的商数 。

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  Example 3
  ::例3

  $$\begin{array}{r}36.48÷12\end{array}$$

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  First, ignore the decimal and divide as if this were two whole numbers.
  ::首先,忽略小数点和除法,仿佛这是两个完整的数字。

  $$\begin{array}{r}\begin{array}{rcl}& & 304\\ & & 12\overline{)36.48}\\ & & \underset{\_}{-36}\\ & & 04\\ & & \underset{\_}{-0}\\ & & 48\\ & & \underset{\_}{-48}\\ & & 0\end{array}\end{array}$$

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  Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.
  ::然后将小数点添加到商数中。将小数点从分数框中的位置移到商数中。

  $$\begin{array}{r}\begin{array}{rcl}& & 3.04\\ & & 12\overline{)36.48}\end{array}\end{array}$$

    

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  The quotient of 36.48 divided by 12 is 3.04.
  ::36.48除以12除以12的商数是3.04。

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  Example 4
  ::例4

  $$\begin{array}{r}2.46÷3\end{array}$$

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  First, ignore the decimal and divide as if this were two whole numbers.
  ::首先,忽略小数点和除法,仿佛这是两个完整的数字。

  $$\begin{array}{r}\begin{array}{rcl}& & 82\\ & & 3\overline{)2.46}\\ & & \underset{\_}{-24}\\ & & 06\\ & & \underset{\_}{-6}\\ & & 0\end{array}\end{array}$$

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  Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.
  ::然后将小数点添加到商数中。将小数点从分数框中的位置移到商数中。

  $$\begin{array}{r}\begin{array}{rcl}& & 0.82\\ & & 3\overline{)2.46}\end{array}\end{array}$$

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  The quotient of 2.46 divided by 3 is 0.82.
  ::2.46除以3的商数为0.82。

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  Example 5
  ::例5

  $$\begin{array}{r}11.5÷5\end{array}$$

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  First, ignore the decimal and divide as if this were two whole numbers.
  ::首先,忽略小数点和除法,仿佛这是两个完整的数字。

  $$\begin{array}{r}\begin{array}{rcl}& & 23\\ & & 5\overline{)11.5}\\ & & \underset{\_}{-10}\\ & & 15\\ & & \underset{\_}{-15}\\ & & 0\end{array}\end{array}$$

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  Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.
  ::然后将小数点添加到商数中。将小数点从分数框中的位置移到商数中。

  $$\begin{array}{r}\begin{array}{rcl}& & 2.3\\ & & 5\overline{)11.5}\end{array}\end{array}$$

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  The quotient of 11.5 divided by 5 is 2.3.
  ::11.5除以5的商数为2.3。

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  Review
  ::回顾

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  Find the quotient for the following problems. 
  ::找到以下问题的商数 。

  1. $\begin{array}{r}36.48÷2\end{array}$
  2. $\begin{array}{r}5.4÷3\end{array}$  
  3. $\begin{array}{r}14.16÷6\end{array}$
  4. $\begin{array}{r}18.63÷3\end{array}$
  5. $\begin{array}{r}11.6÷4\end{array}$
  6. $\begin{array}{r}11.26÷2\end{array}$
  7. $\begin{array}{r}27.6÷4\end{array}$  
  8. $\begin{array}{r}18.5÷5\end{array}$
  9. $\begin{array}{r}49.2÷4\end{array}$
  10. $\begin{array}{r}27.09÷7\end{array}$
  11. $\begin{array}{r}114.4÷8\end{array}$  
  12. $\begin{array}{r}325.8÷9\end{array}$  
  13. $\begin{array}{r}107.6÷4\end{array}$  
  14. $\begin{array}{r}115.7÷5\end{array}$
  15. $\begin{array}{r}192.6÷6\end{array}$

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  Review (Answers) 
  ::回顾(答复)

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  Click   to see the answer key or go to the Table of Contents and click on the Answer Key under the 'Other Versions' option.
  ::单击可查看答题键, 或转到目录中, 单击“ 其他版本” 选项下的答题键 。

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  Resources
  ::资源