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7. Change the following data into scientific notation:

a. The distance between Pluto and the Sun is 5,913,000 km.

b. The density of nitrogen gas is 0.0012506 g/cm\(^3\).

Answer :

Explanation:

A number can be written in the form of scientific notation as follows :

[tex]N=x\times 10^y[/tex]

x is any real number and y is integer

(a) The distance between Pluto and the Sun is 5,913,000 km.

There are 6 digits after 5. In scientific form is given by :

[tex]N=5.91\times 10^6\ km[/tex]

(b) The density of nitrogen gas is 0.0012506 g/cm³.

There are 2 digits before 1. In scientific notation,

[tex]d=1.25\times 10^{-3}\ g/cm^3[/tex]

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Rewritten by : Barada

Final answer:

The distance between the Sun and Pluto in scientific notation is 5.913 x 10^6 km and the density of nitrogen gas in scientific notation is 1.2506 x 10^-4 g/cm^3.

Explanation:

To convert a number into scientific notation, we move the decimal point to a position just after the first non-zero digit, and then multiply the result by a power of ten that indicates how many places we moved the decimal point.

  • a. The distance between Pluto and the Sun is 5,913,000 km. To put this in scientific notation, we move the decimal point six places to the left, yielding 5.913 x 106 km.
  • b. The density of nitrogen gas is 0.0012506 g/cm3. To convert this to scientific notation, we move the decimal point four places to the right, which gives 1.2506 x 10-4 g/cm3.

Learn more about Scientific Notation here:

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