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the diameter of the sun is 1.4 ×10⁹m and the diameter of the earth is 1.3 ×10⁷ .Find the ratio of the diameter of sun to that of the earth. |
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Answer» -step explanation:Given :-The diameter of the SUN is 1.4 ×10⁹m and the diameter of the EARTH is 1.3 ×10⁷ mTo find :-Find the RATIO of the diameter of sun to that of the earth?Solution :-Given that :The diameter of the sun = 1.4×10⁹ mThe diameter of the earth = 1.3 × 10⁷ mThe ratio of the diameter of the Sun to the ratio of the diameter of the earth = ( 1.4×10⁹ ) : ( 1.3 × 10⁷ )= ( 1.4×10⁹ ) / ( 1.3 × 10⁷ )= (1.4/1.3) × (10⁹/10⁷)= (14/10)/(13/10) × (10⁹/10⁷)=>( 14/13) × 10⁹-⁷Since a^m/a^n = a^(m-n)=> (14/13)× 10²=> 14×10²/13=> 14×100/13=> 1400/13=> 1400:13Answer:-The ratio of the diameter of the Sun to the ratio of the diameter of the earth is 1400:13Used FORMULAE:-→ a^m/a^n = a^(m-n)→ a:b can be written as a/b |
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