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Q&A How can Cross Multiplication be intuited or pictured? [closed]

0 answers  ·  posted 2y ago by Chgg Clou‭  ·  edited 2y ago by Chgg Clou‭

Question arithmetic
#8: Post edited by user avatar Chgg Clou‭ · 2021-11-29T18:07:37Z (over 2 years ago)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. It's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 raspberries $\iff$ 3 pears/6 quinces = 2 raspberries/4 tangelos.
  • I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but how does it proffer intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I already know, I'm NOT asking about, the algebra. It's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 riberries $\iff$ 3 pears/6 quinces = 2 riberries/4 tangelos.
  • I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), ***but how does it proffer intuition?***
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
#7: Post edited by user avatar Chgg Clou‭ · 2021-11-29T17:30:18Z (over 2 years ago)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. It's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 raspberries $\iff$ 3 pears/6 quinces = 2 raspberries/4 tangelos.
  • I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but I don't grok how it proffers intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. It's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 raspberries $\iff$ 3 pears/6 quinces = 2 raspberries/4 tangelos.
  • I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but how does it proffer intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
#6: Post edited by user avatar Chgg Clou‭ · 2021-11-29T17:28:59Z (over 2 years ago)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. My 8 year old child understands both sides = 1/2, but it's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 raspberries $\iff$ 3 pears/6 quinces = 2 raspberries/4 tangelos.
  • I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but I don't grok how it proffers intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. It's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 raspberries $\iff$ 3 pears/6 quinces = 2 raspberries/4 tangelos.
  • I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but I don't grok how it proffers intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
#5: Post edited by user avatar Chgg Clou‭ · 2021-11-29T17:25:38Z (over 2 years ago)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. My 8 year old child understands both sides = 1/2, but it's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 raspberries $\iff$ 3 pears/6 quinces = 2 raspberries/4 tangelos.
  • I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but it doesn't proffer intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. My 8 year old child understands both sides = 1/2, but it's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 raspberries $\iff$ 3 pears/6 quinces = 2 raspberries/4 tangelos.
  • I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but I don't grok how it proffers intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
#4: Post edited by user avatar Chgg Clou‭ · 2021-11-29T17:25:06Z (over 2 years ago)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but it doesn't proffer intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. My 8 year old child understands both sides = 1/2, but it's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 raspberries $\iff$ 3 pears/6 quinces = 2 raspberries/4 tangelos.
  • I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but it doesn't proffer intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
#3: Post edited by user avatar Chgg Clou‭ · 2021-11-29T17:17:03Z (over 2 years ago)
  • ![Image alt text](https://math.codidact.com/uploads/fdVwDrfm1yY57xvKujopeGyt)
  • I'm NOT asking about the algebra that I already know. I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but it doesn't proffer intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
  • ![Image alt text](https://math.codidact.com/uploads/xjVvL3zpBw3sorcxq1dffuWF)
  • I'm NOT asking about the algebra that I already know. I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but it doesn't proffer intuition?
  • ![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
#2: Question closed by user avatar Peter Taylor‭ · 2021-11-27T20:58:27Z (over 2 years ago)
#1: Initial revision by user avatar Chgg Clou‭ · 2021-11-27T20:22:32Z (over 2 years ago) 
How can Cross Multiplication be intuited or pictured? 
![Image alt text](https://math.codidact.com/uploads/fdVwDrfm1yY57xvKujopeGyt)

I'm NOT asking about the algebra that I already know. I stumbled [the picture below](https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.703.04&questionId=5446cde4da2cfe0c74e9e61e&artifactID=2040326&plix_redirect=1), but it doesn't proffer intuition?

![](https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A87e34646a78d6acf061d3c0728bfe19fd543a484a365fc61493023cd%2BPLIXIMAGE%2BPLIXIMAGE.1)
arithmetic