QUESTION IMAGE
Question
rewrite this number in scientific notation.
0.0000000034
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Identify the decimal number
The given number is:
Count decimal places
To write the number in scientific notation, we need a coefficient \(a\) such that \(1 \le a < 10\).
We move the decimal point to the right until it is after the first non-zero digit, which is \(3\).
Counting the number of places we move the decimal point to the right:
- From \(0.0000000034\) to \(3.4\) requires moving the decimal point \(9\) places to the right.
Determine the exponent
Since we moved the decimal point to the right to make a very small number larger, the exponent of \(10\) must be negative:
Write in scientific notation
Combining the coefficient and the power of ten:
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Rewrite this number in scientific notation.
\(0.0000000034\) = <blank>\(3.4\)</blank> \(\times\) <blank>\(10\)</blank> <blank>\(^{-9}\)</blank>