Question

a spaceship travels 2.4×10^7 kilometers in one year. if it travels at a constant speed, how many kilometers does it travel in 5 years? express your answer in scientific notation. 1.2×10^8 km 1.2×10^7 km 1.2×10^9 km 1.2×10^6 km

Explanation:

Step1: Identify the distance - per - year

The spaceship travels $2.4\times 10^{7}$ kilometers in one year.

Step2: Calculate the distance in 5 years

Multiply the distance per year by 5. So, $(2.4\times 10^{7})\times5=(2.4\times5)\times10^{7}=12\times 10^{7}$.

Step3: Convert to scientific notation

Rewrite $12\times 10^{7}$ as $1.2\times 10^{8}$ (since $12 = 1.2\times10^{1}$ and $12\times 10^{7}=1.2\times10^{1}\times10^{7}=1.2\times10^{1 + 7}=1.2\times10^{8}$).

Answer:

$1.2\times 10^{8}$ km