Letters in expressions and formulas

  • Context: High School 
  • Thread starter Thread starter Grog85
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Discussion Overview

The discussion revolves around understanding the notation used in physics formulas, specifically focusing on the expression v2 = u2 + 2as. Participants explore the meaning of letters and exponents in mathematical expressions, particularly in the context of A-Level Physics.

Discussion Character

  • Conceptual clarification
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about the notation in physics formulas and seeks clarification on the meaning of letters and exponents.
  • Another participant explains that the small numbers (exponents) indicate squaring a variable, providing examples of how exponents work.
  • A participant discusses the simplification of multiplication notation, noting that it is common to omit the multiplication symbol to avoid ambiguity with variables.
  • Some participants suggest that the original poster may need to strengthen their algebra skills to better understand the physics concepts.
  • A resource is shared for further study on A-Level mathematics topics.

Areas of Agreement / Disagreement

Participants generally agree on the importance of understanding algebra for physics, but there is no consensus on the level of confusion experienced by the original poster. Some responses are supportive, while others imply a lack of foundational knowledge.

Contextual Notes

The discussion highlights varying levels of familiarity with algebra among participants, and some responses may reflect assumptions about prior knowledge that are not explicitly stated.

Grog85
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Hello, first post for me so I am sorry if this is in the wrong topic.

I'm am from the UK studying A-Level Physics.

I understand some formulas but this is testing me. Before I message my tutor I thought I would try here. Looks like a very useful website.

Letters in expressions and formulas.

v2 = u2 + 2as

I normally understand maths when I know the rules.

2 × 5 is written as 2 × 5 or 10
2 × a is written as 2a
a × b is written as ab

I don't seem to understand this and I can't seem to find helpful information and I will not skip the page.

Sorry if this is in the wrong topic and thank you for your help.
 
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Grog85 said:
v2 = u2 + 2as

Do you mean ##u^2## and ##v^2##, with the 2 small and high? In that case, it is called an exponent and, in the present case, means "squared":
$$
u^2 = u \times u
$$
and
$$
v^5 = v \times v \times v \times v \times v
$$
You can have a look at Wikipedia for what it means when the exponent is not a positive integer.
 
Multiplication is used so much in maths that it's simply much easier to get rid of the [itex]\times[/itex] symbol. This also meant that the letter [itex]x[/itex] could be used as a variable (and it's used a lot) without running into problems of ambiguity between it being a variable or a multiplication symbol.

Whenever you have a situation like [itex]2\times 5[/itex] then you're expected to evaluate that to 10, while [itex]2\times a=2a[/itex] cannot be simplified further so it's ok to leave as it is.

Other than that, I don't see what's so confusing about the notation.
 
DrClaude said:
Do you mean ##u^2## and ##v^2##, with the 2 small and high? In that case, it is called an exponent and, in the present case, means "squared":

Yes, small 2 above the u.

Thank you for your help. I'll see how I get on.
 
You must have missed a couple of days in algebra class.
 
Grog85, if you're going to be studying physics, you'll need to get the algebra difficulties squared away first.
 

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