Converting scientific notation to standard digit numbers

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Homework Help Overview

The discussion revolves around converting scientific notation, specifically the expression 1.25^-03, into standard decimal form. Participants are exploring the context of chemistry calculations and the preferences for displaying numbers in a more readable format.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the interpretation of the notation 1.25^-03, with some suggesting it should be understood as 1.25 × 10^{-3}. There is a discussion about how to convert this notation to its decimal equivalent and the implications of using scientific notation in calculators.

Discussion Status

Some participants have provided insights into the calculator's functionality and how it may be programmed to display numbers in standard form. There is an ongoing exploration of how different calculators handle scientific notation and the potential need for manual adjustments to display results as desired.

Contextual Notes

Participants mention that the calculations relate to molar mass in chemistry, and there is a concern about the readability of results when using scientific notation. The discussion also touches on the limitations of certain calculators and the need to consult manuals for specific functionalities.

chestycougth
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Homework Statement



I'm trying to convert something like 1.25^-03 into it's standard number composed of standard decimals using a calculator (0.0125) - if you know what I mean.


Thanks.
 
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When you say 1.25^-03 I'm guessing you actually mean 1.25 \times 10^{-3} ? Also, this does not convert to 0.0125. Almost, but not quite right. Think how many places should the decimal point move?
 
BruceW said:
When you say 1.25^-03 I'm guessing you actually mean 1.25 \times 10^{-3} ? Also, this does not convert to 0.0125. Almost, but not quite right. Think how many places should the decimal point move?

Sorry, i'll give a little more info.
It's a molar mass (chemistry) calculation. In a scientific calculator then it gives me an answer with a variable as shown below:

Number\ of\ moles = 0.05 * 0.025 = 1.25^{-03}

Just I don't like working with scientific notations and would rather read an answer like I get with a pocket calculator:

Number\ of\ moles = 0.05 * 0.025 = 0.00125

So is it possible to program a calculator to display a number without scientific notation unless the number is so large that it cannot be displayed on the screen without a exponent?
 
chestycougth said:
Sorry, i'll give a little more info.
It's a molar mass (chemistry) calculation. In a scientific calculator then it gives me an answer with a variable as shown below:

Number\ of\ moles = 0.05 * 0.025 = 1.25^{-03}
It's really 1.25 \times 10^{-3} even though the calculator might write the 10 quite small, so maybe this is why you missed it. The number 1.25^{-3} is a different thing altogether.

chestycougth said:
So is it possible to program a calculator to display a number without scientific notation unless the number is so large that it cannot be displayed on the screen without a exponent?
It depends on the calculator. You would need to read the manual, which may be online if you google the name of the model of calculator you have. For example, with my calculator, each time I press shift and ENG, it will give an extra 3 places, so in the calculation you mentioned, I would press shift and ENG once, and it would turn the answer into 0.00125

The only problem with this is that you have to press the button after every calculation, to turn it into the 'pocket calculator answer'. But your calculator might be different.
 

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