Flashcard 1 - Upper Level: Quantitative Reasoning Flashcard Set for the ISEE
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\[4.56 \;x \;10^{-9}\]
Explanation:
Move the decimal \(9\) places to the right so that the resulting number is greater than \(1\), but less than \(10\) (\(4.56\), in this case).
The exponent a is \(-9\) because we moved the decimal \(9\) spaces to the right.
Scientific notation is written in the standard form:
\[N\; x \;10^a\]where N is a number greater than 1 but less than 10; and a is a positive or negative integer determined by the number of spaces the decimal point was moved to get N.
Moving the decimal to the left results in a positive exponent; moving it to the right results in a negative exponent.
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