Unit conversions involving Pascals

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Homework Help Overview

The discussion revolves around unit conversions involving Pascals, specifically how to convert between Pascals, kilopascals, and megapascal units. Participants are exploring the relationships between these units and the implications of using different prefixes in calculations.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the conversion of force per unit area (N/m²) into Pascals and kilopascals, questioning how to express large values correctly. There are inquiries about the meaning of negative exponents and their application in unit conversions.

Discussion Status

The conversation includes various attempts to clarify unit conversions and the significance of SI prefixes. Some participants express confusion about negative exponents and their relevance in the context of units, while others provide insights into the definitions and relationships between units.

Contextual Notes

There are mentions of specific educational contexts, such as an assistant technician course, which may influence the depth of understanding expected regarding unit conversions and mathematical principles. Participants also highlight the importance of grasping foundational concepts to avoid gaps in knowledge.

  • #61
jbriggs444 said:
Online converters work. Just have to use the right units. I Googled "convert square millimeters to square meters". Without leaving the Google page, a converter was displayed. I keyed in 1963.5.
View attachment 255555

Good nit saying that it s an area value it was a mistake
 
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  • #62
A.T. said:
Use the one for which you have the required variables.

Yeah and is it that you multiply first or work the division separated and the multiply the results ?
 
  • #63
chriscarson said:
Yeah and is it that you multiply first or work the division separated and the multiply the results ?
Multiply what by what or work what division? Are you seriously asking how to evaluate ##\frac{a}{b} \times \frac{c}{d}##?
 
  • #64
jbriggs444 said:
Multiply what by what or work what division? Are you seriously asking how to evaluate ##\frac{a}{b} \times \frac{c}{d}##?

Yes is that so basic ?
 
  • #65
chriscarson said:
Yes is that so basic ?
Here in the U.S. we are taught to add and multiply fractions at about age eight.

For ##\frac{a}{b} \times \frac{c}{d}## there are many ways to evaluate the result and get the same right answer. The canonical "right" way is to:

1. Divide a by b giving the result ##\frac{a}{b}##.
2. Divide c by d giving the result ##\frac{c}{d}##.
3. Multiply those two results together.

Another way is to:

1. Multiply a by c giving the result ##ac##.
2. Multiply b by d giving the result ##bd##.
3. Divide the result from 1) by the result from 2).

It is a rule of arithmetic and of real algebra that$$\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$$

One rule of algebra that they didn't teach us until age 16 or so was that putting two variable names side by side ("juxtaposition") is a notation that conventionally means "multiply them together".

[As it turns out my first exposure to the juxtaposition notation was in a standardized test -- they tested on it before my school had ever presented the content. It is over 40 years later now and that incident still cheeses me off]
 
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  • #66
jbriggs444 said:
Here in the U.S. we are taught to add and multiply fractions at about age eight.

For ##\frac{a}{b} \times \frac{c}{d}## there are many ways to evaluate the result and get the same right answer. The canonical "right" way is to:

1. Divide a by b giving the result ##\frac{a}{b}##.
2. Divide c by d giving the result ##\frac{c}{d}##.
3. Multiply those two results together.

Another way is to:

1. Multiply a by c giving the result ##ac##.
2. Multiply b by d giving the result ##bd##.
3. Divide the result from 1) by the result from 2).

It is a rule of arithmetic and of real algebra that$$\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$$

One rule of algebra that they didn't teach us until age 16 or so was that putting two variable names side by side ("juxtaposition") is a notation that conventionally means "multiply them together".

[As it turns out my first exposure to the juxtaposition notation was in a standardized test -- they tested on it before my school had ever presented the content. It is over 40 years later now and that incident still cheeses me off]

Yeah finally is that what I thought but I m finding so many obstacles that I want to be 100% in every tiny thing .
 
  • #68

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