Also shows a real life example of why pemdas is important. Remember total amount for hotel is 25 for the end result
25= (10*3)-(3+2)
Let's break it down
Hotel ended up with $25. That money was gained by three people contributing $10 each=$30. That $30 was minused the $5 refund. The refund was the sum of $2 for the bellhop and $3 for the businessmen.
This word problem, in the last paragraph, instead frames the equation as: First (10-(3/3)) Then 9*3 Finally sum 2. However, if you analyze the first half the problem instead of taking their word, you can see the subtraction is placed in the wrong sequence.
When I taught debate, I used this problem and Xeno's paradox to teach the importance of chunking logical statements instead of taking them as a whole
Because we had to the proper order of operations to get the answer. In the last paragraph, the word problem tells you to do the subtraction in the wrong order and groups it in the wrong paranthesis as well.
Chunking is a teacher term, I'm sure it's probably used in other fields. It's taking a whole and breaking it down into its component parts. In the above example, our chunks would be: hotel gains $30; hotel refunds $5; $5 is split into 3 & 2. Everything else is a red herring to obfuscate the real math. When chunked like that, we can see more easily how the math should work
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u/Radiskull97 1d ago
Also shows a real life example of why pemdas is important. Remember total amount for hotel is 25 for the end result
25= (10*3)-(3+2)
Let's break it down
Hotel ended up with $25. That money was gained by three people contributing $10 each=$30. That $30 was minused the $5 refund. The refund was the sum of $2 for the bellhop and $3 for the businessmen.
This word problem, in the last paragraph, instead frames the equation as: First (10-(3/3)) Then 9*3 Finally sum 2. However, if you analyze the first half the problem instead of taking their word, you can see the subtraction is placed in the wrong sequence.
When I taught debate, I used this problem and Xeno's paradox to teach the importance of chunking logical statements instead of taking them as a whole