Earth's radius is approximately 3,959 miles, while Jupiter's radius is approximately 4.3441 × 10⁴ miles. How much bigger is Jupiters radius compared to earth's? Express your answer in scientific notation. Do not round your answer.
□×□miles
Jupiter's radius is approximately (4.3441 × 10⁴) / (3,959) = 1.0968 × 10 times bigger than Earth's radius (in miles).
To find out how much bigger Jupiter's radius is compared to Earth's, we need to calculate the ratio between the two radii.
The ratio can be found by dividing Jupiter's radius by Earth's radius:
Jupiter's radius / Earth's radius
Substituting the given values:
(4.3441 × 10⁴ miles) / (3,959 miles)
To divide these values, we need to make sure the numbers have the same exponent. Since the Earth's radius does not have a scientific notation, we can rewrite it as:
(3,959 miles) = (3.959 × 10⁴ miles)
Now, the calculation becomes:
(4.3441 × 10⁴ miles) / (3.959 × 10⁴ miles)
To divide, we subtract the exponents and divide the numbers:
(4.3441 / 3.959) × (10⁴ / 10⁴)
Simplifying the exponents:
(4.3441 / 3.959) × (1)
Now we can calculate the division:
4.3441 / 3.959 ≈ 1.097
Therefore, Jupiters' radius is approximately 1.097 times bigger than Earth's radius.
Expressing the answer in scientific notation:
1.097 ≈ 1.097 × 10⁰
Thus, Jupiters' radius is approximately 1.097 times Earth's radius or 1.097 × 10⁰ miles bigger.
To determine how much Jupiter's radius is bigger compared to Earth's, we need to calculate the ratio between the two radii.
The ratio is given by dividing Jupiter's radius by Earth's radius:
Jupiter's radius / Earth's radius = (4.3441 × 10⁴ miles) / (3,959 miles)
Now, to express the result in scientific notation, we need to make sure that the number on the left is between 1 and 10.
4.3441 × 10⁴ miles becomes 4.3441 × 10¹⁰ miles by moving the decimal point four places to the right.
Therefore, the ratio is:
(4.3441 × 10¹⁰ miles) / (3,959 miles) = 1.0974 × 10⁷
Hence, Jupiter's radius is approximately 1.0974 × 10⁷ times bigger than Earth's radius.