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A light-year is the distance that light can travel in one year. The Andromeda Galaxy, $2.5 \times 10^6$ 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 $2.5 \times 10^4$ 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.

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Find probabilities using the addition rule

Full solution

Q. A light-year is the distance that light can travel in one year. The Andromeda Galaxy,

2.5 \times 10^6

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 \times 10^4

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 = $2.5 \times 10^6$ light-years Canis Major Dwarf Galaxy distance = $2.5 \times 10^4$ light-years Ratio = $(2.5 \times 10^6) / (2.5 \times 10^4)$
Simplify ratio: Simplify the ratio by dividing both the numerator and the denominator by $2.5 \times 10^4$ . $\newline$ Ratio = $(2.5 \times 10^6) / (2.5 \times 10^4) = 10^2$
Convert to standard form: Convert the ratio from exponential form to standard form. $\newline$ $10^2$ in standard form is $100$ .
State final answer: State the final answer. $\newline$ The Canis Major Dwarf Galaxy is about $100$ times as far away as the Andromeda Galaxy.

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