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  • Ball-parking is a technique that helps us to solve problems quickly.

    Ball-parking是一種幫助我們快速解決問題的技術。

  • Instead of trying to get the perfect result,

    而不是試圖獲得完美的結果。

  • we make a fast, intelligent guess.

    我們做了一個快速、明智的猜測。

  • Just like in baseball.

    就像在棒球中一樣。

  • To score, we don't need to hit the ball perfectly.

    為了得分,我們不需要完美地擊球。

  • Often we just need to keep it inside the ballpark.

    很多時候,我們只需要把它保持在球場內。

  • The technique is useful in conversations

    這種技術在對話中很有用

  • and is essential to passing certain tests.

    並且是通過某些測試的關鍵。

  • To watch this video most effectively,

    為了最有效地觀看這個視頻。

  • grab a pen and paper,

    拿起筆和紙。

  • and try solving the following two problems as we present them.

    並嘗試解決我們提出的以下兩個問題。

  • Just pause whenever you see this sign.

    每當你看到這個標誌就暫停一下。

  • Let's start easy!

    讓我們從簡單的開始!

  • What do you think is the most popular food in the world?

    你認為世界上最受歡迎的食物是什麼?

  • Could it be Italian, Japanese,

    會不會是意大利人,日本人。

  • American fast food, or something else?

    美式快餐,還是別的什麼?

  • As it is impossible to get an exact answer,

    因為不可能得到一個準確的答案。

  • let's look at what we maybe already know.

    讓我們看看我們可能已經知道的情況。

  • In Italy, there are around 50 million people,

    在意大利,大約有5000萬人口。

  • in Japan about 100 million

    在日本約有1億人

  • and in North America about 500 million.

    而在北美,約有5億人。

  • But in China or in India there lives over a billion people.

    但在中國或印度,生活著十多億人。

  • Now we can use the process of elimination

    現在我們可以使用排除法

  • and make a ballpark estimate that

    並作出大致的估計,即

  • Chinese and Indian food is probably the most popular.

    中國和印度食品可能是最受歡迎的。

  • Now let's try something a little harder.

    現在我們來試試更難的東西。

  • Imagine that you are doing a complicated math test

    想象一下,你正在做一個複雜的數學測試

  • for something like the GMAT exam.

    對於像GMAT考試這樣的東西。

  • Then you might just 2 minutes to solve complex problems in your head.

    那麼你可能只需2分鐘就能解決你頭腦中的複雜問題。

  • Maybe something like: The square root of: 5 times the square root of 24,

    也許是這樣的。的平方根。5乘以24的平方根。

  • plus 5 divided by, 5 plus 2 times the square root of 6.

    加5除以,5加2乘以6的平方根。

  • Then you're given five multiple choice answers:

    然後給你五個多選題的答案。

  • A, B, C, D or E.

    A、B、C、D或E。

  • If we would try to solve it, we would probably run out of time.

    如果我們試圖解決它,我們可能會耗盡時間。

  • Ball-parking is now the only option.

    現在,打擦邊球是唯一的選擇。

  • You can try it on your own

    你可以自己嘗試一下

  • or do it with us.

    或與我們一起做。

  • Look at the equation. Let's look the first part,

    看一下這個方程式。讓我們看看第一部分。

  • the square root of 24.

    24的平方根。

  • Since the square root of 24 is difficult to calculate in your head,

    因為24的平方根很難在腦子裡計算出來。

  • think of a close enough number to the square root of 24

    想出一個與24的平方根足夠接近的數字

  • that would be easier for you.

    這對你來說會比較容易。

  • The square root of 25 comes to mind.

    我想到了25的平方根。

  • To which the answer is 5.

    對此,答案是5。

  • Let's now write down the new simpler equation

    現在讓我們寫下新的更簡單的方程式

  • and then again even simpler.

    然後又是更簡單的。

  • Now what about the fraction?

    現在的分數是多少呢?

  • It looks hard, but let's try!

    這看起來很難,但讓我們試試吧!

  • Even if we don't know what 5 plus 2 times the square root of 6 is,

    即使我們不知道5加2倍的6的平方根是什麼。

  • we do know that it's more than 5.

    我們確實知道它超過了5。

  • So let's write it again and just call the denominator [6.1] “more than 5”.

    所以我們再寫一遍,把分母[6.1]稱為 "超過5 "就可以了。

  • And because 5 divided by anything larger than 5 must be smaller than 1,

    而且因為5除以任何大於5的東西都必須小於1。

  • we can just write “25 plus less than 1

    我們可以直接寫 "25加小於1

  • or the square root of 25.

    或25的平方根。

  • And that equals approximately 5.

    而這大約等於5。

  • Lets now look at the options we were given.

    現在讓我們來看看我們得到的選擇。

  • Let's look at the equation and each possible choice.

    讓我們看看這個方程和每個可能的選擇。

  • A is clear and doesn't look bad.

    A是清晰的,看起來並不壞。

  • B is 5 plus 2 times the square root of 6

    B是5加上6的平方根的2倍

  • which is something like 7 or more.

    其中有7個或更多的東西。

  • That doesn't look right.

    這看起來不對。

  • C is the square root of something that comes out to be 3 or less.

    C是某物的平方根,得出的結果是3或更少。

  • That's too small.

    那太小了。

  • What about D?

    那麼D呢?

  • The square root of 120.

    120的平方根。

  • We don't know that,

    我們不知道這一點。

  • but we do know that the square root of 100 is 10.

    但我們確實知道100的平方根是10。

  • Lets just write 10 or more.

    讓我們只寫10個或更多。

  • That looks too high.

    這看起來太高了。

  • Last there is E.

    最後是E。

  • 5 divided by 2 times the square root of 6.

    5除以2乘以6的平方根。

  • Now for 2 times the square root of 6

    現在是6的平方根的2倍

  • lets just writemore than 2”.

    讓我們只寫 "超過2"。

  • And 5 divided by something that's more than 2

    而5除以大於2的東西

  • also looks too small.

    看起來也太小了。

  • Now we use the process of elimination

    現在我們使用排除法

  • and cross out all the wrong answers to see what's left.

    並劃掉所有的錯誤答案,看看還剩下什麼。

  • A it is.

    A它是。

  • Now it's your turn.

    現在輪到你了。

  • Try ball-parking the amount of views

    試著估計一下瀏覽量的大小

  • that you think this video will have by the end of this year

    你認為這段視頻在今年年底前會有什麼效果?

  • and win your favorite Sprouts gift on Patreon.com/Sprouts

    並在Patreon.com/Sprouts上贏得你最喜歡的Sprouts禮物。

  • We will count all entries submitted by August 31st

    我們將計算8月31日前提交的所有作品

  • and announce the winner on the 1st of January.

    並在1月1日宣佈獲獎者。

  • To join, just leave your ballpark figure in the comments below.

    要加入,只需在下面的評論中留下你的大概數字。

  • And if you want, tell us how you did it.

    如果你願意,請告訴我們你是如何做到的。

  • Those of you who post later than August 31st

    那些晚於8月31日發帖的人

  • will enter next year's round of Sprouts Ballpark Awards.

    將進入明年的一輪Sprouts Ballpark獎。

  • Good luck!

    好運!

Ball-parking is a technique that helps us to solve problems quickly.

Ball-parking是一種幫助我們快速解決問題的技術。

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A2 初級 中文 除以 方程式 解決 看看 簡單 印度

打球。通過淘汰來獲得更好的成績 (Ball-Parking: Get Better Grades by Through Elimination)

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    Summer 發佈於 2021 年 04 月 30 日
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