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QUESTION IMAGE

write 7×10^{-6} in standard notation.

Question

write 7×10^{-6} in standard notation.

Explanation:

Step1: Recall negative - exponent rule

A number in scientific notation $a\times10^{-n}$ ($1\leqslant a<10$, $n$ is a positive integer) can be written as $\frac{a}{10^{n}}$ in standard notation. Here $a = 7$ and $n=6$.

Step2: Calculate $\frac{7}{10^{6}}$

Since $10^{6}=10\times10\times10\times10\times10\times10 = 1000000$, then $\frac{7}{10^{6}}=0.000007$.

Answer:

$0.000007$