7.13当量习惯重量单位的确定

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  当量习惯重量单位的确定

  

  [Figure 1]

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  While reading a book about marine animals, Sarah learns that the average humpback whale can weigh 40 tons. Yesterday, she learned that a polar bear weighs about 1000  pounds . How many polar bears will equal the weight of a humpback whale?
  ::Sarah在读一本关于海洋动物的书时 了解到,平均座头鲸的重量是40吨。昨天,她了解到,北极熊的重量约为1000磅。有多少北极熊的重量相当于座头鲸的重量?

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  In this concept, you will learn about customary units of weight. 
  ::在这个概念中,你会了解习惯的重量单位。

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  Identifying Equal Customary Units of Weight
  ::确定平等习惯体重单位

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  The United States uses the  customary system  of measurement. Measurements of  length  consist of units like  inches , feet, yards and miles. The  metric system  is another system of measurement that is used in science and in most other countries. 
  ::美国使用习惯的测量系统,长度的测量由英寸、英尺、码和英里等单位组成,测量系统是另一个用于科学和其他大多数国家的测量系统。

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  Weight  describes the heaviness or the way a mass of something, or someone, feels due to gravity. The customary units for measuring weight are  ounces , pounds and tons.
  ::重量表示重度或某物或某人因重力而感到的重量或质量。 测量重量的习惯单位是盎司、磅和吨。

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  Here are the customary units of weight from smallest to largest.
  ::这是从最小到最大的传统重量单位。

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  1. Ounce
     ::频率
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  2. Pound
     ::英镑
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  3. Ton
     ::吨吨

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  When working with measures of weight, you can compare the  equivalence  of a small unit to a larger one. Remember, the word  equivalent  refers to something being equal to something else. Here are the customary units of equivalence.
  ::使用重量测量法时,您可以将小单位的等值与大单位的等值作比较。记住,等值的单词是指等于其他单位的等值。这里是习惯的等值单位。

  

  [Figure 2]

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  You can find equivalent measures for each unit by using the information in the table. Convert from a larger unit to a smaller unit by multiplying. Convert from a smaller unit to a larger unit by dividing.
  ::您可以使用表格中的信息为每个单位找到相等的量度。通过乘法将较大的单位转换为较小的单位。通过除法将较小的单位转换为较大的单位。

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  Use the information in the table to convert customary units of weight. 
  ::使用表中的信息转换传统重量单位。

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  3 pounds = _____ ounces
  ::3磅= 盎司

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  First, figure out if you need to multiply or divide. Check the units. A pound is larger than an ounce, so you are going to multiply.
  ::首先, 找出您是否需要乘或除。 检查单位。 一磅大于一盎司, 所以您会乘。

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  Then, check the table for the unit equivalence.
  ::然后,检查表格的单位等值。

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  1 pound = 16 ounces
  ::1磅=16盎司

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  Finally, multiply the number of pounds times 16 to get the total number of ounces.
  ::最后,将磅数乘以16 以获得盎司总数。

  3  $\begin{array}{r}\times \end{array}$  16  $\begin{array}{r}=\end{array}$  48

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  3 pounds is equivalent to 48 ounces.
  ::3磅相当于48盎司

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  Here is another conversion problem.
  ::这是另一个转换问题。

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   6,200 pounds = _____ tons
  ::6,200磅 = 吨

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  First, figure out if you need to multiply or divide. Check the units. You are converting a smaller unit to a larger unit, so divide.
  ::首先, 找出是否需要乘或除。 请检查单位 。 您正在将较小单位转换成更大的单位, 所以可以分割 。

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  Then, check the table for the unit equivalence.
  ::然后,检查表格的单位等值。

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

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  Finally, divide the number of pounds by 2,000. 
  ::最后,将磅数除以2000。

  6,200  $\begin{array}{r}÷\end{array}$  2,000  $\begin{array}{r}=\end{array}$  3.1 

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  6,200 pounds is equivalent to 3.1 tons.
  ::6200磅相当于3.1吨。

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  Notice that the unit equivalent of 6,200 pounds to tons is not a whole number. Units of weight can be written as a fraction, a decimal, or with a remainder. A tenth of a ton is equal to 200 pounds.
  ::注意相当于6,200磅至吨的单位不是一个整数。重量单位可以以小数、小数或剩余数表示。 吨的十分之一等于200磅。

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  Fractional answer:  $\begin{array}{r}6,200÷2,000=\frac{6,200}{2,000}=3\frac{200}{2,000}=3\frac{1}{10}\text{tons}\end{array}$
  ::小数回答: 6, 200 2, 000 = 6, 200 2, 000 = 3 200 2, 000 = 3 1 10 吨

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  Decimal answer:  $\begin{array}{r}6,200÷2,000=3.1\text{tons}\end{array}$
  ::十进制回答: 6, 200 2, 000 = 3.1 吨

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  Remainder answer:  $\begin{array}{r}6,200÷2,000=3\text{R}200=3\text{tons}200\text{lbs}\end{array}$
  ::保留方答复: 6, 200 2, 000 = 3 R 200 = 3 吨 200 磅

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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 Sarah and the animals.
  ::早些时候,你得到一个问题 关于莎拉和动物。

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  Sarah knows that a polar bear weighs about 1000 pounds and a humpback whale weighs about 40 tons. Convert 40 tons to pounds to find the number of polar bears it would take to equal the weight of a humpback whale.
  ::Sarah知道北极熊体重约1000磅,座头鲸体重约40吨。将40吨转换成磅,以寻找北极熊的数量,这相当于座头鲸的重量。

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  40 tons = _____ pounds
  ::40吨= 磅

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  First, check if you will multiply or divide. A ton is larger than a pound. Multiply when converting from a larger to a smaller unit.
  ::首先,检查您是要乘还是除。一吨大于一磅。在从大单位转换成小单位时,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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  2,000 pounds = 1 ton
  ::2000 000磅=1吨

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  Next, multiply the number of tons by the unit equivalence.
  ::其次,将吨数乘以单位当量。

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  40 times 2,000 = 80,000 
  ::40乘以2 000=80 000

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  Finally, divide the weight of the whale, in pounds, by the weight of the polar bear, in pounds.
  ::最后,将鲸鱼的重量除以磅, 以北极熊的重量,以磅。

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  80,000 pounds divided by 1000 pounds = 80
  ::80,000磅除以1000磅=80

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  Sarah calculates that it will take about 80 polar bears to equal the weight of a humpback whale!
  ::Sarah计算它需要大约80只北极熊 以等于座头鲸的重量!

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  Example 2
  ::例2

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  Convert the customary unit of weight.
  ::转换习惯重量单位。

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  A male African elephant usually weighs between 6 and 8 tons. If this the range of his weight in tons, what is the range of his weight in pounds?
  ::非洲大象的重量通常在6吨到8吨之间。 如果说这是他以吨为单位的重量范围,那么他以磅为单位的重量范围是多少?

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  First, decide if this conversion requires multiplication or division. Converting a larger unit to a smaller unit requires multiplication. 
  ::首先,决定这种转换是否需要乘法或除法。将一个较大的单位转换成一个较小的单位需要乘法。

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  6 tons = _____ pounds
  ::6吨= 磅

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  8 tons = _____ pounds
  ::8吨= 磅

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  Then, use the unit equivalence.
  ::然后,使用单位等值。

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

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  Finally, multiply the number of tons by 2000 to find the range in tons.
  ::最后,到2000年将吨数乘以2000,以发现吨数的射程。

  6 × 2,000 = 12,000 

  8 × 2,000 = 16,000 

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  The range of weight of a male African elephant is between 12,000 and 16,000 pounds.
  ::非洲雄性大象的体重范围在12,000至16,000磅之间。

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  Example 3
  ::例3

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  Convert the customary unit of weight: 5 tons = ____ pounds.
  ::转换习惯重量单位:5吨=____磅。

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  First, check if you will multiply or divide. Multiply when converting a larger unit to a smaller unit.
  ::首先,检查是乘还是除。在将较大单位转换为较小单位时乘以。

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

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  1 ton = 2,000 pounds
  ::1吨=2 000磅

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  Finally, multiply 5 by 2,000. 
  ::最后,乘以5乘以2000

  5 × 2,000 = 16,000 

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  The answer is 5 tons equals 16,000 pounds.
  ::答案是5吨等于16,000磅

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  Example 4
  ::例4

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  Convert the customary unit of weight: 32 ounces = ____ pounds.
  ::转换习惯重量单位:32盎司=____磅。

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  First, check if you will multiply or divide. Divide when converting a smaller unit to a larger unit.
  ::首先,检查您是要乘还是除。在将较小单位转换为较大单位时,除以 。

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

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  16 ounces = 1 pound
  ::16盎司=1磅

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  Finally, divide 32 ounces by 16.
  ::最后,将32盎司除以16。

  32 ÷ 16 = 2

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  The answer is 32 ounces equals 2 pounds.
  ::答案是32盎司等于2磅

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  Example 5
  ::例5

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  Convert the customary unit of weight: 4,500 pounds = ____ tons.
  ::转换习惯重量单位:4 500磅=____吨。

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  First, check if you will multiply or divide. Divide when converting a smaller unit to a larger unit.
  ::首先,检查您是要乘还是除。在将较小单位转换为较大单位时,除以 。

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

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

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  Finally, divide 4,500 by 2,000.
  ::最后,4 500除以2 000。

  4,500 ÷ 2,000 = 2.25

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  The answer is 4,500 pounds equals 2.25 tons.
  
  ::答案是4500磅等于2.25吨

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  Review
  ::回顾

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  Convert each customary unit of weight.
  ::转换每个习惯重量单位。

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  1. 32 ounces = ____ pounds
     ::32盎司 = 磅
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  2. 6 pounds = ____ ounces
     ::6磅 = 盎司
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  3. 5.5 pounds = ____ ounces
     ::5.5磅 = 盎司
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  4. 60 ounces = ____ pounds
     ::60盎司=____磅
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  5. 9 pounds = ____ ounces
     ::9磅 = 盎司
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  6. 4000 pounds = ____ tons
     ::40000磅 = 吨
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  7. 4 tons = ____ pounds
     ::4吨= 磅
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  8. 3.5 tons = ____ pounds
     ::3.5吨 = 磅
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  9. 6500 pounds = ____ tons
     ::6500磅= 吨
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  10. 7.25 tons = ____ pounds
      ::7.25吨 = 磅
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  11. 15 pounds = ____ ounces
      ::15磅 = 盎司
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  12. 25 tons = _____ pounds
      ::25吨= 磅
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  13. 64 ounces = ____pounds
      ::64盎司 = 磅
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  14. 80 ounces = ____ pounds
      ::80盎司= 磅
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  15. 5 tons = _____ pounds
      ::5吨= 磅

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  Review (Answers) 
  ::回顾(答复)