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tutorial exercise write the number in scientific notation. thickness of…

Question

tutorial exercise
write the number in scientific notation.
thickness of soap bubble: 0.0000001 meter
step 1
in order to get one digit to the left of the decimal point, it needs to be shifted
places to the
this indicates that we need a
exponent.
submit
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Explanation:

Step1: Recall scientific notation rules

Scientific notation is of the form \(a\times10^{n}\), where \(1\leq|a|\lt10\) and \(n\) is an integer. For the number \(0.0000001\), we need to move the decimal point to get a number between 1 and 10.

Step2: Determine the shift and exponent

To get \(1\) (which is between 1 and 10) from \(0.0000001\), we shift the decimal point 7 places to the right. When we shift the decimal point to the right for a number less than 1, the exponent \(n\) is negative. So \(0.0000001 = 1\times10^{-7}\).

Answer:

\(1\times10^{-7}\)