3.4项除号为乘数-interactive
章节大纲
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Remember how to multiply two fractions together?
::记得如何将两个分数相乘吗?Use the interactive below to together. Observe the changing position of the factors along the number lines. Later in this section you will divide fractions by fractions as well as use multiplication to help find their quotients.
::使用下面的交互来组合。 观察数字行各系数的变化位置。 稍后在本节中, 您会将分数除以分数, 并使用乘法来帮助找到它们的商数 。INTERACTIVEMultiplying Fractions-
Press the arrows to increase and decrease the factors of the expression.
::按箭头来增加和减少表达式的因子。 -
Move the red point to estimate the position of the product along the number line.
::移动红点以估计产品在数字线沿线的位置。 -
Check your estimation with the 'Show/Hide point' checkbox.
::使用“ show/ hide point” 复选框检查您的估算 。
+Do you want to reset the PLIX?Progress0 / 31.Which results in a greater value: @$\begin{align*}\frac{3}{5} \cdot \frac{3}{2}\end{align*}@$ or @$\begin{align*}\frac{4}{5} \cdot \frac{7}{5}?\end{align*}@$
::产生更大的值 : @$\ begin{ align}\ frac{ 3\\\ 5}\ cdot\ frac{ 3\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\aThey are both the same value
::两者的价值相同b@$\begin{align*}\frac{4}{5} \cdot \frac{7}{5}\end{align*}@$
::@ $\ begin{ align} frac{ 4} 5}\ cdot\ frac{ 7} @ 5} end{ align} $c@$\begin{align*}\frac{3}{5} \cdot \frac{3}{2}\end{align*}@$
::@ $\ begin{ align} frac{ 3\\ 5}\ cdot\ frac{ 3\\ 2\\\ end{ align} $
How many root beer float popsicles can you make?
::你能做多少根啤酒浮冰棒?Root beer float popsicles To make root beer float popsicles all you need is to add root beer and vanilla ice cream into popsicle molds and freeze overnight.
::要制造根啤酒浮冰棒 你只需要把根啤酒和香草冰淇淋 添加到冰棒模子里 冻在一夜之间In this interactive, you will divide the popsicle mix by a fraction to visualize how many total popsicles you can make.
::在此交互式互动中,您将把冰棒混合体除以一小部分,以便直观地了解您能制造的冰棒总数。INTERACTIVERoot Beer Floats-
You have
cups of root beer, and each popsicle mold holds
cup of root beer.
::你有4杯根啤酒 每个冰棒模子都拿着23杯根啤酒 -
Click "Next" to see how whole numbers are divided by fractions.
::单击“ 下一步” 来查看整个数字是如何除以分数的 。 -
Enter the quotient to finish the problem.
::输入结束问题的商数。
+Do you want to reset the PLIX?
How many times can you reload the water sprayer ?
::你能重新装上喷水器多少次?A boy playing with a water sprayer At the park, a group of friends have a water sprayer battle. There is a big bucket of water that they use to fill their water sprayer . Their water squirter can only carry a certain amount of water before it fills to capacity.
::在公园里,一群朋友打着喷水战,他们用一桶大水来填满喷水者,他们的水在充水前只能携带一定量的水。In the following interactive, the refill bucket is represented as a mixed number and the capacity of the water squirters are represented as fractions. The quotient of dividing the mixed number by the fraction represents how many refills can be made.
::在接下来的互动中,再填水桶是一个混合数,水储水器的容量是分数。混合数除以分数的商数表示可以再填多少。INTERACTIVEWater Gun Measure-
You have
gallons of water in a bucket, and your water gun holds
of a gallon.
::你的水桶里有145加仑的水 你的水枪里有35加仑的水 -
Click "Next" to see how mixed numbers are divided by fractions.
::单击“ 下一步” 来查看混合数字是如何除以分数的 。 -
Enter the quotient to finish the problem.
::输入结束问题的商数。
+Do you want to reset the PLIX?
How many elevator stops to the top of a skyscraper?
::摩天大楼顶部有多少电梯停下来?If you ride an elevator up a tall building and the elevator stops at regular intervals, how many stops will it take before you reach the top floor?
::如果你坐电梯上高楼 电梯定期停住 到达顶楼前要停几站?Use this interactive to visualize how to divide a fraction by another fraction, then calculate their quotient.
::使用此互动来想象如何将一个分数除以另一个分数, 然后计算他们的商数 。INTERACTIVEElevator Game-
The height of a building is
of a kilometer tall and the elevator in it moves
of a kilometer at a time. How many stops does the elevator make from the bottom to the top of the building?
::建筑物的高度是47公里高,电梯的高度是27公里高。电梯从楼底到楼顶有几站? -
Click "Next" to see how mixed numbers are divided by fractions.
::单击“ 下一步” 来查看混合数字是如何除以分数的 。 -
Enter the quotient to finish the problem.
::输入结束问题的商数。
+Do you want to reset the PLIX?
How much farther does a remote control car drive?
::遥控汽车驱动器还有多远?Two friends race their remote control cars which they named Lightning and Jackson. Unfortunately, the race is cut short when Jackson runs out of batteries. The friends measure the distance that the two cars drove.
::两个朋友在他们的遥控汽车赛跑,他们称之为闪电和杰克逊。 不幸的是,当杰克逊的电池用完时,比赛就中断了。 朋友们测量了两辆汽车的距离。Use the interactive below to find the quotient of two fractions and visualize how much further Lightning drove than Jackson.
::使用下面的交互效果来找到两个分数的商数, 并直观地显示闪电比杰克逊驱动力还要远。INTERACTIVERC Car-
Lightning, a remote controlled car drove
of a meter before its battery died. Jackson, another remote controlled car, traveled
of a meter before its battery died. How much farther did Lightning drive than Jackson?
::另一辆遥控车Jackson在电池死亡前行驶了35米。 闪电驱动器比Jackson还要远多? -
Click "Next" to see how mixed numbers are divided by fractions.
::单击“ 下一步” 来查看混合数字是如何除以分数的 。 -
Enter the quotient as a decimal to finish the problem.
::以小数位数输入该商数以完成问题。
+Do you want to reset the PLIX?CK-12 PLIX Interactive
::CK-12 PLIX 交互式互动Use the PLIX interactive to practice switching fraction division problems into fraction multiplication problems.
::使用 PLIX 互动来将分数分解问题转换成分数乘法问题。Summary
::摘要-
To find the quotient of two fractions, you can multiply the reciprocal of the divisor.
::要找到两个分数的商数, 您可以乘以差数的对等值 。
Example:
::示例: 1234=12×43In this example, we can "flip" to get its reciprocal then multiply.
::在这个例子中,我们可以“翻转”34 以获得对等的43,然后乘以乘法。 -
Press the arrows to increase and decrease the factors of the expression.
