7.16常用单位的乘法换算

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  常用单位的乘法换算

  

  [Figure 1]

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  Michaela is planning a party. She buys 5  pounds  of shrimp for 10 people. She guesses that each person will eat about 7  ounces  of shrimp. Will Michaela have enough shrimp for everyone?
  ::Michaela计划办一个派对,她为10个人买5磅虾,她猜测每人将吃大约7盎司虾。Michaela是否有足够的虾供大家吃?

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  In this concept, you will convert customary units of measure using multiplication.
  ::在此概念中,您将使用乘法转换习惯计量单位。

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  Converting Customary Units by Multiplying
  ::以乘法转换习惯单位

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  When converting customary units of measure from a larger unit to a smaller unit, multiply the the larger unit by its smaller  equivalent  unit. You may already be wondering why you need to multiply as opposed to some other operation. Here is an example to demonstrate this.
  ::当习惯计量单位从较大的单位转换为较小的单位时,将较大的单位乘以较小的等值单位。您可能已经想知道为什么您需要乘以而不是其他操作。这里可以举一个例子来证明这一点。

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  1 dollar = 100 pennies
  ::1美元=100分

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  There are 100 pennies in one dollar. The dollar is a larger unit than the penny. You need many pennies to equal one dollar. The same is true when working with units of  length , weight and  capacity . You need more of a smaller unit to equal a larger unit.
  ::单美元有100个便士。 美元比便士大一个单位。 您需要许多便士来等于一美元。 在使用长度、 重量和容量单位时也是如此。 您需要更多的小单位来等于一个更大的单位 。

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  Think back to all of the units of length ,  weight and capacity that you have previously learned about.
  ::回想一下你以前学到的所有长度、重量和能力单位。

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  Here are some  equivalence  tables.
  ::以下是一些等值表格。

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  Customary Units of Length
  ::习惯长度单位

  inch (in.)	foot  (ft)	yard  (yd)	mile  (mi)
  12	1
  	3	1
  		1,760	1

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  Customary Units of Weight
  ::体重习惯单位

  ounces (oz)	pounds (lb)	tons (T)
  16	1
  	2,000	1

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  Customary Units of Capacity
  ::习惯能力单位

  fluid ounces (fl oz)	cups (c)	pints (pt)	quarts (qt)	gallon  (gal)
  8	1
  16	2	1
  32	4	2	1
  128	16	8	4	1

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  Let's look at a conversion problem.
  ::让我们来看看转换的问题。

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  John has a rope that is 10 feet long. How long is his rope in  inches ?
  ::约翰的绳子有10英尺长 他的绳子长到几英寸?

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  Notice, you are converting from feet to inches. A foot is a larger unit than an inch.
  ::注意,你正从脚向英寸转换,一英尺比一英寸大一个单位。

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  10 feet = _____ inches
  ::10英尺 = 英寸

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  To solve this problem, multiply the number of feet by the unit equivalence. This will give you the measurement in inches. 
  ::要解决这个问题, 请乘以单位对等单位的英尺数。 这将给您以英寸计的度量 。

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  1 foot = 12 inches
  ::1英尺=12英寸

  10  $\begin{array}{r}\times \end{array}$  12  $\begin{array}{r}=\end{array}$  120 

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  The answer is 10 feet is equivalent to 120 inches.
  ::答案是10英尺等于120英寸

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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 Michaela and her party.
  ::早些时候,你得到一个问题 关于迈克尔和她的派对。

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  Michaela has 5 pounds of shrimp and is wondering if she will have enough for 10 people if each person eats 7 ounces of shrimp. Convert the 5 pounds to ounces to see if Michaela will have enough for everyone.
  ::Michaela有5磅的虾,想知道如果每人吃7盎司的虾,她是否有足够的养活10个人。 将5磅转换成盎司,看看Michaela是否有足够的养活每个人。

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  5 pounds = _____ ounces
  ::5磅= 盎司

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  First, check if she will multiply or divide. A pound is larger than an ounce. Multiply when converting a larger unit to a smaller unit.
  ::首先, 请检查她是否会乘或除。 一磅大于一盎司。 当将一个较大的单位转换成一个较小的单位时, 乘以乘法 。

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  Then, find the unit equivalence.
  ::然后,找到单位等值。

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  1 pound = 16 ounces
  ::1磅=16盎司

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  Next, multiply the number of pounds by the unit equivalence.
  ::接下来,乘以磅数乘以单位等值。

  5 × 16 = 80

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  5 pounds = 80 ounces
  ::5磅=80盎司

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  If 10 people eat 7 ounces of shrimp each, then Michaela will need at least 70 ounces of shrimp. Michaela will have enough shrimp for the party.
  ::如果10个人每人吃7盎司的虾,那么Michaela至少需要70盎司的虾。

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  Example 2
  ::例2

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  Convert the unit of measure: Jason’s baby brother drank 3 cups of milk. How many fluid ounces did he drink?
  ::转换计量单位:杰森的弟弟喝了三杯牛奶。他喝了几盎司液体?

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  Once again, you are going from a larger unit to a smaller unit.
  ::你再一次从一个更大的单位 变成一个较小的单位

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  3 cups = _____ fl oz
  ::3个杯 =

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  Multiply the number of cups by the unit equivalence.
  ::按单位等值乘以杯数。

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  1  cup  = 8 fl oz.
  ::1个杯 = 8 瓶 oz。

  3  $\begin{array}{r}\times \end{array}$  8  $\begin{array}{r}=\end{array}$  24

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  The answer is 3 cups is equivalent to 24 fluid ounces.
  ::答案是3个杯子相当于24盎司液体

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  Convert the following units of measure.
  ::转换以下计量单位。

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  Example 3
  ::例3

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  Convert the following unit of measure: 4 tons = ____ pounds.
  ::转换以下计量单位:4吨=____磅。

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  Multiply the number of tons by the unit equivalence.
  ::按单位当量乘以吨数。

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  1  ton  = 2,000 pounds.
  ::1吨=2000磅。

  4  $\begin{array}{r}\times \end{array}$  2,000 = 8,000

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  The answer is 4 tons is equivalent to 8,000 pounds
  ::答案是4吨等于8000磅

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  Example 4
  ::例4

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  Convert the following unit of measure: 5 feet = ____ inches.
  ::转换以下计量单位:5英尺 = 英寸。

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  Multiply the number of feet by the unit equivalence.
  ::乘以单位等值乘以英尺数。

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  1 foot = 12 inches
  ::1英尺=12英寸

  5  $\begin{array}{r}\times \end{array}$  12 = 60

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  The answer is 5 feet is equivalent to 60 inches
  ::答案是5英尺等于60英寸

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  Example 5
  ::例5

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  Convert the following unit of measure: 8 pints = ____ cups.
  ::转换以下计量单位: 8品脱 = 杯。

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  Multiply the number of tons by the unit equivalence.
  ::按单位当量乘以吨数。

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  1  pint  = 2 cups
  ::1品脱=2杯

  8  $\begin{array}{r}\times \end{array}$  2 = 16

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  The answer is 8 pints is equivalent to 16 cups.
  
  ::答案是8品脱等于16杯

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  Review
  ::回顾

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  Convert the following units of measure.
  ::转换以下计量单位。

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  1. 5 tons = ____ pounds
     ::5吨= 磅
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  2. 6 feet = ____ inches
     ::6英尺 = 英寸
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  3. 9 tons = ____ pounds
     ::9吨= 磅
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  4. 8 pounds = ____ ounces
     ::8磅 = 盎司
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  5. 2.5 feet = ____ inches
     ::2.5英尺 = 英寸
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  6. 3.5 tons = ____ pounds
     ::3.5吨 = 磅
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  7. 2.25 pounds = ____ ounces
     ::2.25磅 = 盎司
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  8. 9 cups = ____ fl oz
     ::9个杯子 = 方 子 oz
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  9. 5 pints = ____ cups
     ::5品脱=____杯
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  10. 7 pints = ____ cups
      ::7品脱=____杯
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  11. 8 quarts = ____ pints
      ::8 夸脱= 品脱
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  12. 1 quart = ____ pints
      ::1 夸特= 品脱
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  13. 6 gallons = ____ quarts
      ::6加仑=______夸特
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  14. 7.75 gallons = ____ quarts
      ::7.75加仑=______夸特
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  15. 8 miles = _____ feet
      ::8英里=____英尺
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  16. 3 feet = _____ inches
      ::3英尺 = 英寸
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  17. 12 miles = _____ feet
      ::12英里=____英尺

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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