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------------------------------------------------ Write each of the following distances as a whole number:

(a) [tex]$10^{26}$[/tex] metres: Diameter of Observable Universe

(b) [tex]$10^{16}$[/tex] metres: Diameter of Solar System

(c) [tex]$10^{21}$[/tex] metres: Diameter of Milky Way Galaxy

Answer :

To express each of the given distances as a whole number, we need to understand the notation and then simply read off the number in standard form.

  1. Diameter of the Observable Universe:

    The distance given is [tex]10^{26}[/tex] meters.

    In standard form, this means the digit '1' followed by 26 zeros. As a whole number, it looks like:

    [tex]100,000,000,000,000,000,000,000,000[/tex]

  2. Diameter of the Solar System:

    The distance given is [tex]10^{16}[/tex] meters.

    In standard form, this means the digit '1' followed by 16 zeros. As a whole number, it looks like:

    [tex]10,000,000,000,000,000[/tex]

  3. Diameter of the Milky Way Galaxy:

    The distance given is [tex]10^{21}[/tex] meters.

    In standard form, this means the digit '1' followed by 21 zeros. As a whole number, it looks like:

    [tex]1,000,000,000,000,000,000,000[/tex]

These numbers are written using scientific notation to simplify the representation of such large distances. By converting them to standard form, they can be expressed as whole numbers with zeros representing the vast scale of these cosmological distances. Understanding this helps to appreciate the immense size of structures in our universe.