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Question
convert scientific notation to standard form
question
write the number 3.1 × 10^(-4) in standard form.
Step1: Recall the rule for negative - exponent
A number in scientific notation $a\times10^{-n}$ ($1\leqslant a<10$, $n$ is a positive integer) is equivalent to moving the decimal point $n$ places to the left. Here $a = 3.1$ and $n = 4$.
Step2: Move the decimal point
Starting with 3.1, move the decimal point 4 places to the left. Add zeros as needed. So, $3.1\times10^{-4}=0.00031$.
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$0.00031$