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rewrite this number in scientific notation. 0.0000000034 after you ente…

Question

rewrite this number in scientific notation.

0.0000000034

after you enter your answer press go.

Explanation:

Identify the decimal number

The given number is:

$$ 0.0000000034 $$

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:

$$ \text{Exponent} = -9 $$

Write in scientific notation

Combining the coefficient and the power of ten:

$$ 3.4 \times 10^{-9} $$

Answer:

Rewrite this number in scientific notation.

\(0.0000000034\) = <blank>\(3.4\)</blank> \(\times\) <blank>\(10\)</blank> <blank>\(^{-9}\)</blank>