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Answer :
To express these distances as whole numbers, we interpret each expression of distance using scientific notation. Scientific notation is a way to express very large or very small numbers easily. Each expression is composed of two parts: a number and a power of ten. Here’s how you can interpret and express them effectively:
(a) [tex]10^{25}[/tex] metres: Diameter of Observable Universe
- The expression [tex]10^{25}[/tex] represents a 1 followed by 25 zeros.
- Written in standard form, this is 100,000,000,000,000,000,000,000,00 metres.
(b) [tex]10^{15}[/tex] metres: Diameter of Solar System
- The expression [tex]10^{15}[/tex] represents a 1 followed by 15 zeros.
- Written in standard form, this is 1,000,000,000,000,000 metres.
(c) [tex]10^{2}[/tex] metres: Diameter of Milky Galaxy (Note: There's a likely error here. The diameter of the Milky Way galaxy is much larger than [tex]10^{2}[/tex] metres, but we'll proceed with the given power of ten for practice purposes)
- The expression [tex]10^{2}[/tex] represents a 1 followed by 2 zeros.
- Written in standard form, this is 100 metres.
Each of these numbers helps us understand the vastness of space in terms of scales, from the magnitude of the observable universe to comparatively smaller systems.
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