Solving Equations with Basic Math Notation

  • Context: High School 
  • Thread starter Thread starter autodidude
  • Start date Start date
  • Tags Tags
    Notation
Click For Summary

Discussion Overview

The discussion revolves around the appropriate notation to use when starting new lines in mathematical equations or problems. Participants explore various symbols and their appropriateness in conveying relationships between equations during the solving process.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether a symbol is necessary at the beginning of new lines when solving equations, suggesting that sometimes an arrow is used.
  • Another participant proposes using the therefore sign (∴) but expresses that it may not be necessary for clarity.
  • A different participant argues that subsequent lines do not require any symbol, indicating that clarity can be maintained without additional notation.
  • One contributor mentions using the symbol \Rightarrow to indicate how one equation follows from another, distinguishing it from logical implications.
  • Another participant suggests that indenting can improve readability when transitioning between lines or paragraphs, though this is not universally agreed upon.
  • Some participants express a preference for using symbols to enhance clarity, while others believe that leaving lines blank is sufficient.

Areas of Agreement / Disagreement

There is no consensus on whether a symbol is necessary at the beginning of new lines in mathematical notation. Participants present differing views on the use of symbols like ∴ and \Rightarrow, as well as the practice of leaving lines blank.

Contextual Notes

Participants express varying opinions on the importance of notation in mathematical clarity, with some emphasizing readability and others focusing on typographical preferences. The discussion does not resolve the question of best practices.

Who May Find This Useful

Individuals interested in mathematical notation, clarity in mathematical writing, or those preparing for assessments that involve showing work in equations may find this discussion relevant.

autodidude
Messages
332
Reaction score
0
When you start a new line in solving an equation (or any math problem), is there a symbol you should start of with? I usually use an equal or therefore sign but sometimes it doesn't seem appropriate and I just end up using a little arrow

Say I had to rearrange this equation (ab)/2 = c to make a the subject , what would I write in front of the first and subsequent lines of working? Just leave it blank?

e.g.
(ab)/2 = c
<--- what goes here? (ab) = 2c..etc.
etc..
 
Mathematics news on Phys.org
You can use ∴ (which means http://en.wikipedia.org/wiki/Therefore_sign" ) but personally I wouldn't bother. Remember you get marks for your working, clarity and expression, not typography quirks.
 
Last edited by a moderator:
why would you need to have ANYTHING go there? Your second line of "(ab) = 2c" does not need anything in front of it, nor do subsequent lines.

I suppose when you get to the final line you could preceded it with the "therefore" dots, but as pwsnafu said, I don't think most people bother.
 
Thank you
 
Actually, I'm used to the symbol [itex]\Rightarrow[/itex] to show how one equation follows from a previous one (as opposed to [itex]\rightarrow[/itex] which indicate a logical implication within a statement).
This helps distinguishing it from when you start new lines of reasoning.
 
When you start writing a new line in a paragraph (not because your sentence didn't fit on the previous line, but because you're beginning a new phrase), you don't do anything but indent, right? This just makes reading easier on the eye. I actually indent very slightly when going from a paragraph to a series of implications, equalities, etc.
 
I always use [itex]\Rightarrow[/itex] in such contexts.

I think it is better to use a symbol. Writing nothing in front of it can cause the text to be hard to read...
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 23 ·
Replies
23
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K