5.13长度测量到一英寸的几分之一

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• 选择节长度测量到一英寸的几分之一

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  长度测量到一英寸的几分之一

  Meg is looking to replace a door hinge that broke. She’s shopping online for the hinge, but the measurements are all listed in fractions of  inches . She measured the size of the hinge on a ruler.

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  Here is what her ruler says:
  ::以下是她的统治者所说的话:

  

  [Figure 1]

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  What size hinge should she be looking for?
  ::她应该找什么尺寸的拐弯?

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  In this concept, you will learn how to measure lengths to a fraction of an inch.
  ::在这个概念中,你将学会如何测量长度到一英寸的一小部分。

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  Measuring Lengths Using Fractions
  ::使用分数衡量长度

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  Think about using a ruler, sometimes you will have something that measures evenly, meaning that the item measures in whole inches. More often, you will have an item that does not measure evenly. When this happens, you will need to measure the item to a  fraction  of an inch.
  ::考虑使用标尺时,有时你会有一些能平均测量的东西, 意思是项目用整英寸来测量。 更常见的是, 你将会有一个不平均测量的项目。 当这种情况发生时, 您需要将项目测量到一英寸的一小部分 。

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  Each whole inch has sixteen lines. This is because one inch is  $\begin{array}{r}\frac{16}{16}\end{array}$  of an inch long. Count four lines, you are at  $\begin{array}{r}\frac{4}{16}\end{array}$  or  $\begin{array}{r}\frac{1}{4}\end{array}$  (a quarter) of an inch. Count to the eighth line, you are at  $\begin{array}{r}\frac{8}{16}\end{array}$  or  $\begin{array}{r}\frac{1}{2}\end{array}$  (one half) of an inch. Count to the twelfth line is  $\begin{array}{r}\frac{12}{10}\end{array}$  or  $\begin{array}{r}\frac{3}{4}\end{array}$  (three fourths) of an inch.
  ::每英寸有16行。 这是因为一英寸是16英寸16英寸长。 数四行, 数四行, 4 16 或 14 (四分之一)英寸。 数第八行, 8 16 或 12 (一半)英寸。 算第十二行, 12 10 或 3 4 (四分之三)英寸。

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  Look at this ruler.
  ::看看这尺子

  

  [Figure 2]

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  The arrow is above a line that does not indicate one whole inch. Use fractions to write this fraction of an inch. Count the lines. The arrow is above the eighth line. Write the measurement as a fraction of an inch.
  ::箭头位于一行之上, 并不表示一整英寸。 使用分数来写入一英寸的这个分数。 计数行。 箭头在第八行之上。 将测量写成一英寸的分数 。

  $\begin{array}{r}\frac{8}{16}\end{array}$

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  Measurements are often written as a fraction in simplest form.  $\begin{array}{r}\frac{8}{16}\end{array}$  in simplest form is equal to  $\begin{array}{r}\frac{1}{2}\end{array}$ . The measurement is  $\begin{array}{r}\frac{8}{16}\end{array}$  or  $\begin{array}{r}\frac{1}{2}\end{array}$  inch.
  ::衡量标准往往以最简单的形式作为一个分数来写。 8 16 以最简单的形式写成,等于12。衡量标准为8 16或12英寸。

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  Here is an example of a whole number measurement with a fraction of another inch.
  ::下面是整个数字测量的一个例子,用另一英寸的一分之一。

  

  [Figure 3]

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  This measurement is 1 inch and a fraction of another inch. The arrow is above  $\begin{array}{r}1\frac{12}{16}\end{array}$ .  $\begin{array}{r}\frac{12}{16}\end{array}$  in simplest form is  $\begin{array}{r}\frac{3}{4}\end{array}$ . This measurement is  $\begin{array}{r}1\frac{12}{16}\end{array}$  or  $\begin{array}{r}1\frac{3}{4}\end{array}$  inches.
  ::此测量为 1 英寸和 1 英寸 。 箭头高于 1 12 16 . 12 16 。 最简单的形式为 3 4 。 此测量为 1 12 16 或 13 4 英寸 。

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  Notice that a ruler has lines with four different lengths. The longest line on the ruler indicates a whole inch. The  second  longest line indicates a half  $\begin{array}{r}\left(\frac{1}{2}\right)\end{array}$  inch. The line shorter than the half inch line marks a quarter  $\begin{array}{r}\left(\frac{1}{4}\right)\end{array}$  inch. Some rulers have marks for an eighth  $\begin{array}{r}\left(\frac{1}{8}\right)\end{array}$  of an inch, like the image below.
  ::注意标尺有四个不同长度的线条。 标尺上最长的线条表示整英寸。 第二长的线条表示半( 12) 英寸。 短于半英寸线的线条表示四分之一( 14) 英寸。 有些标尺有八( 18) 英寸的标记, 如下面的图像 。

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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 Meg’s door hinge.
  ::更早之前,

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  Find the measurement of her door hinge to a fraction of an inch.
  ::找到她门的度量 以一英寸一英寸左右

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  Here is what her ruler says:
  ::以下是她的统治者所说的话:

  

  [Figure 4]

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  The measurement is between 3 and 4 inches. The arrow is pointing to the quarter inch mark.
  ::度量在3到4英寸之间。箭头指向四分之一英寸的标记。

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  Meg’s is looking for a door hinge that is  $\begin{array}{r}3\frac{1}{4}\end{array}$  inch long.
  ::Meg正在寻找一个长34英寸长的门锁。

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  Example 2
  ::例2

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  What is the measurement of the crayon?
  ::蜡笔的量度是多少?

  

  [Figure 5]

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  First, look at the measurement of the crayon. It is between 3 and 4 inches long. Count the number of lines after the 3 inch mark. It is  $\begin{array}{r}\frac{10}{16}\end{array}$  of an inch beyond the 3 inch mark.
  ::首先,请看蜡笔的测量。 它在 3 至 4 英寸之间。 计数 3 英寸标记之后的行数。 超过 3 英寸标记的一英寸是 10 16 英寸 。

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  Then, simplify  $\begin{array}{r}\frac{10}{16}\end{array}$ .
  ::然后,简化10 16。

  $\begin{array}{r}\frac{10}{16}=\frac{5}{8}\end{array}$

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  The crayon is  $\begin{array}{r}\frac{35}{8}\end{array}$  inches.
  ::蜡笔是358英寸

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  Example 3
  ::例3

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  What is the second quarter inch between 3 and 4?
  ::3到4之间的第二季度是多少?

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  The second quarter inch is also  $\begin{array}{r}\frac{2}{4}\end{array}$ .
  ::第二季度的面积也是2 4英寸。

  $\begin{array}{r}\frac{2}{4}=\frac{1}{2}\end{array}$

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  The second quarter inch between 3 and 4 is  $\begin{array}{r}3\frac{1}{2}\end{array}$  inch.
  ::第二季度,3到4英寸之间是312英寸。

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  Example 4
  ::例4

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  Locate  $\begin{array}{r}2\frac{1}{2}\end{array}$  inches on a ruler. Check your answer with a friend.
  ::标尺上有22英寸的方位 找一个朋友看看答案

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  Look on the ruler. The line should be exactly half - way between 2 and 3.
  ::看看尺子 线线应该正好是2到3之间的一半

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  Example 5
  ::例5

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  How many parts is an inch divided into on a ruler?
  ::尺子上有多少个部分是一寸分成的?

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  An inch is divided into 16 parts.
  ::一英寸分为16个部分。

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  Review
  ::回顾

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  Work with a partner and follow the directions. You will need a ruler.
  ::与伴侣合作,遵循方向。您需要一位统治者。

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  1. Find 15 items of all different sizes.
     ::查找15个大小各异的项目。
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  2. Next, make a list of the names of the items that you have selected.
     ::下一步,请列出您选中的项目的名称。
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  3. Measure each item and write down the measurements. Do this independently.
     ::测量每个项目并记录测量数据。 独立进行此操作 。
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  4. Compare measurements with your partner.
     ::和你搭档的测量相比
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  5. Discuss any discrepancies and make adjustments as needed.
     ::讨论任何差异,并根据需要作出调整。

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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