Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×10^4 miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answe
To find out how much bigger Jupiter's radius is compared to Earth's, we can divide Jupiter's radius by Earth's radius.
Jupiter's radius = 4.3441×10^4 miles
Earth's radius = 3,959 miles
Comparing the radii:
(4.3441×10^4 miles) / (3,959 miles)
Now, to divide these numbers, we need to put them both in the same exponent form. We can convert 3,959 to scientific notation by moving the decimal point 3 places to the right.
3,959 miles = 3.959×10^3 miles
Now we can divide the radii:
(4.3441×10^4 miles) / (3.959×10^3 miles)
To divide these numbers, we divide the coefficients and subtract the exponents:
(4.3441 / 3.959) ×10^(4-3)
= 1.09718158 × 10^1
Therefore, Jupiter's radius is approximately 1.09718158 × 10^1 (or 10.9718158) times bigger than Earth's radius.
To find out how much bigger Jupiter's radius is compared to Earth's, we will subtract Earth's radius from Jupiter's radius.
Jupiter's radius: 4.3441 × 10^4 miles
Earth's radius: 3,959 miles
Subtracting Earth's radius from Jupiter's radius:
Jupiter's radius - Earth's radius
= 4.3441 × 10^4 miles - 3,959 miles
Calculating the difference:
4.3441 × 10^4 miles - 3,959 miles = 4.3441 × 10^4 miles - 0.003959 × 10^4 miles
= 4.3441 × 10^4 miles - 0.003959 × 10^4 miles
= (4.3441 - 0.003959) × 10^4 miles
= 4.340141 × 10^4 miles
Therefore, Jupiter's radius is approximately 4.340141 × 10^4 miles bigger than Earth's radius.