A light-year is the distance that light can travel in one year. The Andromeda Galaxy, 2.5×106 light-years away from Earth, is the brightest galaxy that can be seen with the naked eye. The closest galaxy to Earth is the Canis Major Dwarf Galaxy. Though it is only about 2.5×104 light-years away, it can only be seen with a telescope. Use these numbers to complete the sentence below. Write your answer in standard form, without using exponents. The Canis Major Dwarf Galaxy is about ____ times as far away as the Andromeda Galaxy.
Q. A light-year is the distance that light can travel in one year. The Andromeda Galaxy, 2.5×106 light-years away from Earth, is the brightest galaxy that can be seen with the naked eye. The closest galaxy to Earth is the Canis Major Dwarf Galaxy. Though it is only about 2.5×104 light-years away, it can only be seen with a telescope. Use these numbers to complete the sentence below. Write your answer in standard form, without using exponents. The Canis Major Dwarf Galaxy is about ____ times as far away as the Andromeda Galaxy.
Calculate ratio: Calculate the ratio of the distance of the Andromeda Galaxy to the distance of the Canis Major Dwarf Galaxy. Andromeda Galaxy distance = 2.5×106 light-years Canis Major Dwarf Galaxy distance = 2.5×104 light-years Ratio = (2.5×106)/(2.5×104)
Simplify ratio: Simplify the ratio by dividing both the numerator and the denominator by 2.5×104.Ratio = (2.5×106)/(2.5×104)=102
Convert to standard form: Convert the ratio from exponential form to standard form.102 in standard form is 100.
State final answer: State the final answer.The Canis Major Dwarf Galaxy is about 100 times as far away as the Andromeda Galaxy.
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