An astronomer's infrared telescope is able to detect radiation with a wavelength of 0.00000957 meters. Write this number in scientific notation.
Question
An astronomer's infrared telescope is able to detect radiation with a wavelength of 0.00000957 meters. Write this number in scientific notation.
Solution
The given wavelength in meters is 0.00000957.
To write this number in scientific notation, we look for the first non-zero digit from the left. Here, it is 9.
We place a decimal point after this digit and drop all leading zeros. This gives us 9.57.
Next, we count the number of places the decimal point has moved from the original number. Here, it has moved 6 places to the right.
So, the number in scientific notation is 9.57 x 10^-6.
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