imendoza1103im
imendoza1103im imendoza1103im
  • 01-12-2019
  • Mathematics
contestada

what is the scientific notation for .00003400?​

Respuesta :

gmany
gmany gmany
  • 01-12-2019

Answer:

[tex]\large\boxed{0.00003400=3.4\cdot10^{-4}}[/tex]

Step-by-step explanation:

The scientific notation:

[tex]a\cdot 10^k[/tex]

where

[tex]1\leq a<10,\ k\in\mathbb{Z}[/tex]

[tex]0.0003400=0\underbrace{.0003}_{4\to}4=3.4\cdot10^{-4}\\\\0.00034=3.4:10000=3.4:10^4=3.4\cdot\dfrac{1}{10^4}=3.4\cdot10^{-4}\\\\\text{used}\ a^{-n}=\dfrac{1}{a^n}[/tex]

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