Question

without any equipment, you can see stars that are 2,800,000 light-years away. by looking through a small telescope, you can see stars that are 3,112,000,000 light-years away.

approximately how many times as far can you see using a small telescope as without any equipment?
choose 1 answer:
a $1 \cdot 10^{2}$
b $3 \cdot 10^{2}$
c $1 \cdot 10^{3}$
d $3 \cdot 10^{3}$

Explanation:

Step1: Set up division ratio

$\frac{3,112,000,000}{2,800,000}$

Step2: Simplify the division

$\frac{3112}{2.8} \approx 1111$

Step3: Convert to scientific notation

$1111 \approx 1 \times 10^3$

Answer:

C. $1 \cdot 10^3$