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  • 12-10-2020
  • Mathematics
contestada

Convert the scientific notation into a standard form number,
1.23 x 10-5

Respuesta :

gmany
gmany gmany
  • 12-10-2020

Step-by-step explanation:

[tex]a^{-n}=\dfrac{1}{a^n}\\\\\text{therefore}\ 10^{-5}=\dfrac{1}{10^5}=\dfrac{1}{100000}=0.00001\\\\1.23\cdot10^{-5}=1.23\cdot0.00001=0.0000123[/tex]

[tex]a\cdot10^{-n}[/tex] - move the decimal point n place to the left

[tex]a\cdot10^n[/tex] - move the decimal point n place to the right

Examples:

[tex]1.2\cdot10^5=1\underbrace{20000}_{5\to}=120,000\\\\1.2\cdot10^{-5}=0\underbrace{.00001}_{\leftarrow5}2=0.000012[/tex]

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