节: 习惯计量单位转换 | 4.12 习惯计量单位转换

章节大纲

Karen is making cookies for a school fundraiser. The recipe she uses calls for 20 ounces of liquid. How many cups does this represent?
::凯伦正在为学校募捐活动做饼干她用的食谱需要20盎司的液体

In this concept, you will learn to convert customary units of measurement.
::在这个概念中,你会学会转换习惯的计量单位。

Customary and Metric Systems
::习惯和计量系统

In the United States, you often use the customary system of measurement. The customary system is made up of units such as inches , feet, cups, gallons and pounds and is often referred to as Imperial measure.
::在美国,你经常使用习惯测量系统,习惯系统由英寸、脚、杯、加仑和磅等单位组成,通常被称为帝国测量。

You may have also heard of the Metric System of measurement. The metric system is often used in countries outside of the United States, and in science measurements. Here, you will learn how to convert between different customary units of measurement.
::您可能也听说过计量体系。衡量体系经常在美国以外的国家使用, 并在科学测量中使用。在这里, 您将学习如何在不同的习惯计量单位之间转换。

First, let’s look at some of the units in the customary system of measurement.
::首先,让我们看看习惯计量系统中的一些单位。

Customary Units of Measurement
::习惯计量单位

Now let’s look at how you convert among customary units of measurement. Because there is a relationship between different units of measure, you can use proportions to help you convert between customary units of measurement.
::现在让我们看看习惯计量单位之间是如何转换的。由于不同计量单位之间存在某种关系,您可以使用比例来帮助您转换习惯计量单位。

Let’s look at an example.
::让我们举个例子。

How many feet are in 5 yards?
::5码内有几英尺?

First, set up a proportion.
::首先,设定一个比例。

$\begin{aligned} \frac{1 yard}{3 feet} = \frac{5 yard}{x feet} \end{aligned}$

::1码3英尺=5码x

Next, cross multiply to solve for $\begin{aligned} x \end{aligned}$ .
::下一个, 交叉乘以x 解析。

$\begin{aligned} \begin{array}{rcl} \frac{1}{3} & = & \frac{5}{x} \\ 1 x & = & 3 \times 5 \\ x & = & 15 \end{array} \end{aligned}$

::13=5x1x=3x5x=15

The answer is 15.
::答案是15岁

Therefore, 5 yards is equal to 15 feet.
::因此,5码等于15英尺

Here is another example.
::下面是另一个例子。

How many ounces are there in 20 pounds?
::20磅内有多少盎司?

First, set up a proportion.
::首先,设定一个比例。

$\begin{aligned} \frac{1 pound}{6 ounces} = \frac{20 pounds}{x ounces} \end{aligned}$

::1磅6盎司=20磅x盎司

Next, cross multiply to solve for $\begin{aligned} x \end{aligned}$ .
::下一个, 交叉乘以x 解析。

$\begin{aligned} \begin{array}{rcl} \frac{1}{16} & = & \frac{20}{x} \\ 1 x & = & 16 \times 20 \\ x & = & 320 \end{array} \end{aligned}$

::116=20x1x=16xx20x=320

The answer is 320.
::答案是320

Therefore, 20 pounds is equal to 320 ounces.
::因此,20磅等于320盎司。

Examples
::实例

Example 1
::例1

Earlier, you were given a problem about Karen’s cooking measurements.
::先前,你曾因Karen的烹饪量度问题而感到疑惑。

Karen needs to convert 20 ounces into cups.
::凯伦需要把20盎司变成杯子

First, set up a proportion.
::首先,设定一个比例。

$\begin{aligned} \frac{1 cup}{8 ounces} = \frac{x cups}{20 ounces} \end{aligned}$

::1杯8盎司=x杯20盎司

Next, cross multiply.
::下一个,交叉乘数。

$\begin{aligned} \begin{array}{rcl} \frac{1}{8} & = & \frac{x}{20} \\ 8 x & = & 1 \times 20 \\ 8 x & = & 20 \end{array} \end{aligned}$

::18=x208x=1x208x=20

Then, cross multiply to solve for $\begin{aligned} x \end{aligned}$ .
::然后,交叉倍数来解答 x。

$\begin{aligned} \begin{array}{rcl} 8 x & = & 20 \\ \frac{8 x}{8} & = & \frac{20}{8} \\ x & = & 2.5 \end{array} \end{aligned}$

::8x=208x8=208x=2.5

The answer is 2.5.
::答案是2.5

Therefore, 20 ounces is equal to 2.5 cups.
::因此,20盎司等于2.5个杯子。

Example 2
::例2

Eight pints is equal to how many gallons?
::八品脱等于多少加仑?

Set up a proportion to convert pints to gallons.
::设定一个比例, 将品脱转换为加仑。

$\begin{aligned} \frac{1 gallon}{4 quarts} \times \frac{1 quart}{2 pints} = \frac{1 gallon}{8 pints} \end{aligned}$

::1加仑4 夸尔特×1 夸尔特2 品脱= 1加仑8 品脱

The answer is 1.
::答案是 1 。

Therefore, 8 pints is equal to 1 gallon .
::因此,8品脱等于1加仑。

Example 3
::例3

Convert 6 tons to pounds.
::6吨转换成磅

First, set up a proportion.
::首先,设定一个比例。

$\begin{aligned} \frac{1 ton}{2000 pounds} = \frac{6 tons}{x pounds} \end{aligned}$

::1吨2000磅=6吨x磅

Next, cross multiply to solve for $\begin{aligned} x \end{aligned}$ .
::下一个, 交叉乘以x 解析。

$\begin{aligned} \begin{array}{rcl} \frac{1}{2000} & = & \frac{6}{x} \\ 1 x & = & 6 \times 2000 \\ x & = & 12000 \end{array} \end{aligned}$

::12000=6x1x=6x2000x=12000

The answer is 12000.
::答案是2000年。

Therefore, 6 tons is equal to 12,000 pounds.
::因此,6吨等于12,000磅。

Example 4
::例4

Convert 3 yards to feet.
::将3码转换为3码

First, set up a proportion.
::首先,设定一个比例。

$\begin{aligned} \frac{1 yard}{3 feet} = \frac{3 yards}{x feet} \end{aligned}$

::1码3英尺=3码x英尺

Next, cross multiply to solve for $\begin{aligned} x \end{aligned}$ .
::下一个, 交叉乘以x 解析。

$\begin{aligned} \begin{array}{rcl} \frac{1}{3} & = & \frac{3}{x} \\ 1 x & = & 3 \times 3 \\ x & = & 9 \end{array} \end{aligned}$

::13=3x1x=3x3x3x=9

The answer is 9.
::答案是9。

Therefore, 3 yards is equal to 9 feet.
::因此,3码等于9英尺

Example 5
::例5

Convert 18 gallons to quarts.
::将18加仑转换为夸特。

First, set up a proportion.
::首先,设定一个比例。

$\begin{aligned} \frac{1 gallon}{4 quarts} = \frac{18 gallons}{x quarts} \end{aligned}$
::1加仑4quarts=18加仑xquarts

Next, cross multiply to solve for $\begin{aligned} x \end{aligned}$ .
::下一个, 交叉乘以x 解析。

$\begin{aligned} \begin{array}{rcl} \frac{1}{4} & = & \frac{18}{x} \\ 1 x & = & 4 \times 18 \\ x & = & 72 \end{array} \end{aligned}$

::14=18x1x=4x18x=72

The answer is 72.
::答案是72。

Therefore, 18 gallons is equal to 72 quarts.
::因此,18加仑等于72夸特。

Review
::回顾

Solve each problem by converting among customary units of measurement.
::通过习惯计量单位之间的转换解决每个问题。

$\begin{aligned} 102 inches = \underline{} feet \end{aligned}$
::102 英寸尺

$\begin{aligned} 25 pounds = \underline{} ounces \end{aligned}$
::25磅盎司

$\begin{aligned} 160 cups = \underline{} gallons \end{aligned}$
::160杯加仑

$\begin{aligned} 150 pounds = \underline{} tons \end{aligned}$
::150磅吨

$\begin{aligned} 6 feet = \underline{} inches \end{aligned}$
::6英尺英寸

$\begin{aligned} 360 inches = \underline{} feet \end{aligned}$
::360英寸英寸英尺

$\begin{aligned} 5.5 feet = \underline{} inches \end{aligned}$
::5.5英尺英寸

$\begin{aligned} 900 inches = \underline{} feet \end{aligned}$
::900 英寸英寸英尺

$\begin{aligned} 32 ounces = \underline{} pounds \end{aligned}$
::32盎司磅

$\begin{aligned} 320 ounces = \underline{} pounds \end{aligned}$
::320盎司磅

$\begin{aligned} 6 pounds = \underline{} ounces \end{aligned}$
::6磅盎司

$\begin{aligned} 15 pounds = \underline{} ounces \end{aligned}$
::15磅盎司

$\begin{aligned} 6 cups = \underline{} pints \end{aligned}$
::6杯品脱

$\begin{aligned} 3 gallons = \underline{} quarts \end{aligned}$
::3加仑夸特

$\begin{aligned} 8 quarts = \underline{} pints \end{aligned}$
::8 夸脱品脱

$\begin{aligned} 24 pints = \underline{} quarts \end{aligned}$
::24品脱

Review (Answers)
::回顾(答复)

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。

Resources
::资源

章节大纲

Customary and Metric Systems ::习惯和计量系统

Customary Units of Measurement ::习惯计量单位

Examples ::实例

Example 1 ::例1

Example 2 ::例2

Example 3 ::例3

Example 4 ::例4

Example 5 ::例5

Review ::回顾

Review (Answers) ::回顾(答复)

Resources ::资源

Customary and Metric Systems
::习惯和计量系统

Customary Units of Measurement
::习惯计量单位

Examples
::实例

Example 1
::例1

Example 2
::例2

Example 3
::例3

Example 4
::例4

Example 5
::例5

Review
::回顾

Review (Answers)
::回顾(答复)

Resources
::资源