Question

in 1 - 4, convert each given value to scientific notation. 1. 1850000 2. 42000 3. 0.007826 4. 0.000012 5. express the wavelength for violet light using scientific notation.

Explanation:

Step1: Move decimal point for 1850000

Move the decimal 6 places to the left to get a number between 1 and 10. So, $1850000 = 1.85\times10^{6}$.

Step2: Move decimal point for 42000

Move the decimal 4 places to the left. So, $42000=4.2\times 10^{4}$.

Step3: Move decimal point for 0.007826

Move the decimal 3 places to the right. So, $0.007826 = 7.826\times10^{-3}$.

Step4: Move decimal point for 0.000012

Move the decimal 5 places to the right. So, $0.000012=1.2\times 10^{-5}$.

Step5: Assume wavelength of violet light is 0.0000004 meters (common value)

Move the decimal 7 places to the right. So it is $4\times 10^{-7}$ meters.

Answer:

1. $1.85\times10^{6}$
2. $4.2\times 10^{4}$
3. $7.826\times10^{-3}$
4. $1.2\times 10^{-5}$
5. $4\times 10^{-7}$ (assuming common wavelength value for violet light)