How Do You Multiply Large Numbers in Scientific Notation?

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SUMMARY

The discussion focuses on multiplying large numbers in scientific notation, specifically the expression 2.573x10^13 x 6.58x10^-5 x 7.0732x10^11. Participants emphasize the importance of maintaining precision throughout the calculation and suggest rounding only after obtaining the final result. The initial incorrect answer of 120x10^19 was corrected to 1.20x10^17, highlighting the need for careful manipulation of exponents and coefficients in scientific notation.

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  • Understanding of scientific notation
  • Basic multiplication of decimal numbers
  • Knowledge of exponent rules
  • Familiarity with rounding techniques
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  • Study the rules for multiplying numbers in scientific notation
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Students in mathematics or commerce courses, educators teaching scientific notation, and anyone looking to improve their skills in handling large numerical calculations.

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Homework Statement



2.573x10^13 x 6.58x10^-5 x 7.0732x10^11




The Attempt at a Solution


would you round up the answer to 120 initially after multiplying?

heres my answer 120x10^19=1.20x10^17
 
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davie08 said:

Homework Statement



2.573x10^13 x 6.58x10^-5 x 7.0732x10^11




The Attempt at a Solution


would you round up the answer to 120 initially after multiplying?

here's my answer 120x10^19=1.20x10^17

I would round-off AFTER I get the final result for the power of ten.

BTW, your final answer is incorrect.

120x1019 = (1.20x102)x1019 = ___ ?
 
haha what was I thinking jeez being out of school for a year and a half is killing me I can't wait to begin commerce in august.
 
davie08 said:
haha what was I thinking jeez being out of school for a year and a half is killing me I can't wait to begin commerce in august.

Ah, because in commerce two orders of magnitude doesn't matter? :devil:
 

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