Question

What is the scientific notation for .00003400?​

Answer 1

`\large\boxed{0.00003400=3.4\cdot10^(-4)}`

Explanation:

The scientific notation:

`a\cdot 10^k`

where

`1\leq a<10,\ k\in\mathbb{Z}`

`0.0003400=0\underbrace{.0003}_(4\to)4=3.4\cdot10^(-4)\\\\0.00034=3.4:10000=3.4:10^4=3.4\cdot(1)/(10^4)=3.4\cdot10^(-4)\\\\\text{used}\ a^(-n)=(1)/(a^n)`