anonymous
  • anonymous
Hi, question. Does anyone know how to solve (5.4×10^-1)(7×10^0)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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whpalmer4
  • whpalmer4
there's no equation there to solve. Do you mean how to multiply it out?
anonymous
  • anonymous
In scientific notation.
anonymous
  • anonymous
I forgot to mention that detail.

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More answers

whpalmer4
  • whpalmer4
first, multiply the mantissa of one by the mantissa of the other. \[5.4*7 = \]
anonymous
  • anonymous
Okay.
whpalmer4
  • whpalmer4
what do you get?
anonymous
  • anonymous
37.8
whpalmer4
  • whpalmer4
good next, we multiply the two exponential parts: \[10^{-1}*10^0\]by adding the exponents:\[10^{-1}*10^{0} = 10^{-1+0} = 10^{-1}\] then we multiply that with the product we got for the mantissa part: \[37.8*10^{-1}\]
anonymous
  • anonymous
Okay.
anonymous
  • anonymous
Thank you
whpalmer4
  • whpalmer4
Now, the mantissa is always supposed to have an absolute value between 1 and 10 if it isn't, then you need to normalize it
whpalmer4
  • whpalmer4
which means divide or multiply by 10 as many times as needed, and adjust the exponent so that you aren't changing the value of the number.
whpalmer4
  • whpalmer4
here we have 37.8, which is too big, so we divide by 10 to get 3.78, and we adjust the exponent up by 1. does that make sense?
anonymous
  • anonymous
Not really. I'll probably have to go in before finals in the morning.
whpalmer4
  • whpalmer4
we are essentially converting\[37.8*10^{-1}\]to\[\frac{1}{10}*37.8*10^{-1}*10\]to\[3.78*10^{-1+1} = 3.78*10^0\]
anonymous
  • anonymous
Thank you
whpalmer4
  • whpalmer4
37.8 * 0.1 is the same as 3.78 * 1, right? that's all we did in the normalization step
anonymous
  • anonymous
Right.
anonymous
  • anonymous
Yup! I'd do the same haha
whpalmer4
  • whpalmer4
such an answer deserves a medal :-)
anonymous
  • anonymous
Okay. Thanks.

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