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  • 08-02-2019
  • Mathematics
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Is 21.8 x 10 to the power of 8 a scientific notation

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gmany
gmany gmany
  • 08-02-2019

Answer:

[tex]\large\boxed{2.128\times10^9}[/tex]

Step-by-step explanation:

The scientific notation:

[tex]a\cdot10^k\\\\1\leq a<10,\ k\in\mathbb{Z}[/tex]

We have:

[tex]21.8\times10^8[/tex]

21.8 >10

21.8 = 2.18 × 10

Thereofre:

[tex]21.8\times10^8=2.18\times10\times10^8[/tex]

Use

[tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]21.8\times10^8=2.18\times10^1\times10^8=2.18\times10^{1+8}=2.18\times10^9[/tex]

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