Question

the table shows the diameters of mercury, mars and jupiter as well as their distances from earth. use a single - digit times a power of 10 to estimate the diameter of jupiter. about how many times greater is jupiters diameter than mercurys? planet diameters and distance from earth: planet, diameter (km), distance from earth (km); mercury, 4,878, 91,691,000; mars, 6,780, 78,340,000; jupiter, 139,822, 628,730,000. jupiters diameter is about × 10^ km. jupiters diameter is about × 10^ times greater than mercurys.

Explanation:

Step1: Estimate Jupiter's diameter

Round 139822 to a single - digit times a power of 10. 139822 is approximately 1×10^5 since 139822 is close to 100000.

Step2: Estimate Mercury's diameter

Round 4878 to a single - digit times a power of 10. 4878 is approximately 5×10^3 since 4878 is close to 5000.

Step3: Calculate the ratio

To find out how many times greater Jupiter's diameter is than Mercury's, divide the estimated diameter of Jupiter by the estimated diameter of Mercury. $\frac{1\times10^{5}}{5\times10^{3}}=\frac{1}{5}\times10^{5 - 3}=0.2\times10^{2}=2\times10^{1}$.

Answer:

Jupiter's diameter is about 1×10^5 km. Jupiter's diameter is about 2×10^1 times greater than Mercury's.