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anonymous
 one year ago
Hi, question. Does anyone know how to solve
(5.4×10^1)(7×10^0)
anonymous
 one year ago
Hi, question. Does anyone know how to solve (5.4×10^1)(7×10^0)

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whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1there's no equation there to solve. Do you mean how to multiply it out?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In scientific notation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I forgot to mention that detail.

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1first, multiply the mantissa of one by the mantissa of the other. \[5.4*7 = \]

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1good 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: \[37.8*10^{1}\]

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1Now, 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
 one year ago
Best ResponseYou've already chosen the best response.1which 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
 one year ago
Best ResponseYou've already chosen the best response.1here 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
 one year ago
Best ResponseYou've already chosen the best response.0Not really. I'll probably have to go in before finals in the morning.

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1we are essentially converting\[37.8*10^{1}\]to\[\frac{1}{10}*37.8*10^{1}*10\]to\[3.78*10^{1+1} = 3.78*10^0\]

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.137.8 * 0.1 is the same as 3.78 * 1, right? that's all we did in the normalization step

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yup! I'd do the same haha

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1such an answer deserves a medal :)
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