Respuesta :
We have been given that the density of oxygen is 0.001429 grams per cubic centimeter. We are asked to write the given number in scientific notation.
To convert a number into scientific notation, we write the given number as product of two numbers. One factor is a number between 1 and 10, while the 2nd factor is power of 10.
When a decimal is to the left of given number, then we need to move the decimal to right such that the number gets between 1 and 10. Then, we multiply the number by negative power of 10 that many times, we moved the decimal to right.
We can see that decimal is to left of our number. To place decimal after 1, we have to multiply 10 to 3 times. To keep the value of number same we will multiply the same negative power (negative 3).
[tex]0.001429\times 10^3\times 10^{-3}[/tex]
[tex](0.001429\times 10^3)\times 10^{-3}[/tex]
[tex](1.429)\times 10^{-3}[/tex]
[tex]1.429\times 10^{-3}[/tex]
Therefore, the number 0.001429 will be [tex]1.429\times 10^{-3}[/tex] in scientific notation.
Using scientific notation, it is found that the correct representation is given by:
[tex]1.429 \times 10^{-3}[/tex]
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A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With [tex]a \in [1,9][/tex].
To realize the conversion from decimal to scientific notation, we keep multiplying or dividing by 10 until it is in the correct format.
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- The given number is 0.001429, which is between 0 and 1, thus, multiplications by 10 have to be made.
- [tex]0.001429 \times 10 = 0.01429[/tex]
- [tex]0.001429 \times 10^2 = 0.1429[/tex]
- [tex]0.001429 \times 10^3 = 1.429[/tex] -> correct format.
Thus, the correct representation, in scientific notation, is:
[tex]1.429 \times 10^{-3}[/tex]
A similar problem is given at https://brainly.com/question/14006644
