How can I convert 7.8 x 10^-3 to 39/5000 using a calculator?

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SUMMARY

The conversion of 7.8 x 10^-3 to the fraction 39/5000 can be achieved by first expressing 7.8 x 10^-3 as a fraction, specifically 7.8/1000. By multiplying both the numerator and denominator by 10, the fraction becomes 78/10000. Simplifying this fraction by removing common factors results in the final answer of 39/5000. This method demonstrates the straightforward process of converting scientific notation to a simplified fraction using basic arithmetic operations.

PREREQUISITES
  • Understanding of scientific notation and its conversion to fractions
  • Basic arithmetic operations: multiplication and simplification of fractions
  • Familiarity with using a calculator for fraction operations
  • Knowledge of common factors and how to identify them
NEXT STEPS
  • Learn how to convert other scientific notations to fractions
  • Explore the use of calculators for fraction simplification
  • Study the properties of fractions and common factors
  • Investigate advanced fraction operations, including addition and subtraction
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Students, educators, and anyone needing to understand the conversion between scientific notation and fractions, particularly in mathematical contexts.

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how would i convert 7.8 x 10^-3 = 39/5000 / 7.8 x 10^-3 into a fraction on my calculator?

I know the result is 0.0078 but I don't know how to get it, thanks!
 
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You want to start with 7.8 x 10^-3 and end up with 39/5000 ?

10^(-3) = 1/1000, so 7.8 x 10^-3 = 7.8/1000. Multiply the numerator and the denominator by 10 to get integers and you end up with 78/10000. Remove common factors from this and you get the answer.
 

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