AlesanaP389462 AlesanaP389462
  • 03-11-2022
  • Mathematics
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Perform the following operationand express the answer inscientific notation.5.7365x10-5 = 3.4891x10-8[ ? ]x10?)Coefficient (green)Exponent (yellow)Enter

Perform the following operationand express the answer inscientific notation57365x105 34891x108 x10Coefficient greenExponent yellowEnter class=

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RahimaH56874 RahimaH56874
  • 03-11-2022
[tex]\begin{gathered} \frac{5.7365\cdot10^{-5}}{3.4891\cdot10^{-8}}= \\ =\frac{5.7365}{3.4891}\cdot\frac{10^{-5}}{10^{-8}}=\text{ separating by similar terms} \\ =1.64412026\cdot10^{-5-(-8)}=\text{ calculating each division separately} \\ =1.6441\cdot10^3\text{ rounding} \end{gathered}[/tex]

Both numerator and denominator have 5 significant figures, then the quotient will have 5 significant figures too.

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