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how do you write 130,000 in scientific notation? 130 × 10^□

Question

how do you write 130,000 in scientific notation? 130 × 10^□

Explanation:

Step1: Recall scientific - notation form

Scientific notation is $a\times10^{n}$, where $1\leq a < 10$ and $n$ is an integer.

Step2: Rewrite 130000

We can write $130000 = 1.3\times100000$.
Since $100000 = 10^{5}$, then $130000=1.3\times10^{5}$. In the given form of $130\times10^{n}$, we know that $130 = 1.3\times10^{2}$, and $130000 = 130\times10^{3}$ because $130\times10^{3}=130\times1000 = 130000$.

Answer:

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