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Visible blue light has a wavelength of about 0.0000475 centimeters.

What is this measurement written in scientific notation?






















4.75 × 10^4 centimeters





4.75 × 10^-4 centimeters





4.75 × 10^5 centimeters





4.75 × 10^-5 centimeters

Respuesta :

MathG33k
Alright, just in case there are more questions in the future. This is how scientific notation works. To put a number into scientific notation, just put the decimal right after the first number and use the powers of ten to express it right. So in this case .0000475 is your number. You put the decimal right after the 4, and then multiply by 10^-5 power to make it it's original value. Talk to me if you need more help. (Answer choice D)
aachen

Answer:

[tex]\lambda=4.75\times 10^{-5}\ cm[/tex]

Step-by-step explanation:

The wavelength of the visible blue light is 0.0000475 centimeters.  We need to convert the given number into scientific notation. A number can be written in this form as :

[tex]N=p\times 10^q[/tex]

Where

p is any real number

q can be any integer

[tex]0.0000475\ cm=\dfrac{475}{10000000}\ cm[/tex]

We can also write it as :

[tex]\dfrac{475}{10000000}\ cm=475\times 10^{-7}\ cm[/tex]

Dividing and multiplying [tex]475\times 10^{-7}[/tex] by 100 as :

[tex]475\ \times 10^{-7}\times \dfrac{100}{100}[/tex]

[tex]\lambda=4.75\times 10^{-5}\ cm[/tex]

So, the correct option is (d). Hence, this is the required solution.

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