How do you translate word phrases into algebraic symbols?

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Discussion Overview

The discussion revolves around translating word phrases into algebraic symbols, focusing on the challenges faced by non-native English speakers in understanding and expressing mathematical concepts. It includes inquiries about specific phrases and their interpretations, as well as the clarity of the English used in these phrases.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant asks how to express "the odd integer consecutive to and less than the odd integer n" in symbols, suggesting it could be "n - 2" but noting ambiguity in the term "consecutive to."
  • Another participant interprets two similar phrases about the square of the sum of x and y, proposing they could mean different algebraic expressions: "5 - (x + y)² = 12" or "(5 - (x + y))² = 12," while criticizing the English used.
  • There is confusion regarding the phrase "the squares of the reciprocal of the sum of x and y is 15," with a participant questioning whether "squares" should be singular or plural, suggesting it should be "square" based on the singular "reciprocal."
  • A later reply emphasizes the importance of precise English in mathematical descriptions and suggests that visual aids like diagrams can help in learning to translate phrases into algebraic expressions.

Areas of Agreement / Disagreement

Participants express disagreement regarding the clarity and correctness of the English used in the phrases, with some suggesting that the phrases are poorly constructed. There is no consensus on the correct interpretations of the phrases, as multiple interpretations are proposed.

Contextual Notes

The discussion highlights limitations in the clarity of the English phrases, which may affect their mathematical translation. There is also an acknowledgment of the challenges faced by non-native speakers in understanding and expressing mathematical concepts accurately.

VashtiMaiden
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Hello.
You might find this too noobish but pls help me.

My "analysis" is very poor, since English is not my native language and i can hardly speak in english! :cry:

Can you please help me translate these word phrases into algebraic symbols?

*the odd integer consecutive to and less than the odd integer n

What's the difference between these two "word phrases"
*the square of the sum x and y subtracted from 5 is 12
*the square of the sum x and y, subtracted from 5 is 12
?:confused:

And how about "the squares of the reciprocal of the sum of x and y is 15"?

The word "squares" kinda confused me.
Is it really plural? or singular?
 
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Hi VashtiMaiden! :smile:
VashtiMaiden said:
the odd integer consecutive to and less than the odd integer n

hmm … "consecutive to" usually means "the next one" … but I suppose it could mean "the previous one". In symbols: "n - 2".

Personally, I think that's bad English. :frown:
What's the difference between these two "word phrases"
*the square of the sum x and y subtracted from 5 is 12
*the square of the sum x and y, subtracted from 5 is 12
?:confused:

Those really are bad English.

I think they both mean 5 - (x + y)² = 12.

I suppose the first one might mean (5 - (x + y))² = 12. :frown:

But whoever wrote them needs English lessons.

Where did you find them?
And how about "the squares of the reciprocal of the sum of x and y is 15"?

The word "squares" kinda confused me.
Is it really plural? or singular?

Again, bad English … "reciprocal" is singular, so it should be "square". "Squares" is wrong. :smile:
 
:cry: Thank you. ...and anyway, "bad english" is not my fault. And those are phrases not sentences.
 
A sentence about mathematical descriptions can, or should be an equation or an inequality. A phrase or may likely ONLY be expressable as an algebraic expression. Actually, the English used in expressing or describing the mathematical relation or description NEEDS to be precise in order to be clear enough to express in mathematical symbolism. In the effort to learn English and coordinate it with Mathematics, drawing pictures and showing diagrams are extremely useful in the learning process and in the learning to make the mathematical transcriptions.
 

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