Converting scientific notation to standard digit numbers

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SUMMARY

The discussion focuses on converting scientific notation, specifically 1.25^-03, into standard decimal format, which is 0.00125. Participants clarify that 1.25^-03 is equivalent to 1.25 × 10^{-3}, and emphasize the importance of correctly interpreting the notation. The conversation also addresses the possibility of programming calculators to display results in standard decimal format instead of scientific notation, with specific instructions for using the shift and ENG buttons on certain models to achieve this conversion.

PREREQUISITES
  • Understanding of scientific notation and its components
  • Familiarity with basic arithmetic operations in chemistry
  • Knowledge of calculator functions and settings
  • Ability to interpret calculator output formats
NEXT STEPS
  • Research how to convert scientific notation to decimal format in various calculators
  • Explore programming options for scientific calculators to customize display settings
  • Learn about the significance of significant figures in scientific calculations
  • Investigate different calculator models and their functionalities regarding scientific notation
USEFUL FOR

Students in chemistry, educators teaching scientific notation, and anyone looking to optimize their use of scientific calculators for better readability of numerical results.

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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