Earth's radius is approximately 3,959miles, 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.
To find out how much bigger Jupiter's radius is compared to Earth's, we need to divide Jupiter's radius by Earth's radius.
\[ \text{Jupiter's radius} = 4.3441 \times 10^4 \, \text{miles} \]
\[ \text{Earth's radius} = 3,959 \, \text{miles} \]
So Jupiter's radius compared to Earth's can be calculated as:
\[ \text{Jupiter's radius compared to Earth's} = \frac{\text{Jupiter's radius}}{\text{Earth's radius}} \]
\[ \text{Jupiter's radius compared to Earth's} = \frac{4.3441 \times 10^4 \, \text{miles}}{3,959 \, \text{miles}} \]
\[ \text{Jupiter's radius compared to Earth's} = 1.0960 \times 10^1 \]
Therefore, Jupiter's radius is approximately 10.96 times bigger than Earth's.
To find out how much bigger Jupiter's radius is compared to Earth's, we can calculate the ratio of their radii.
Let's divide Jupiter's radius by Earth's radius:
4.3441 × 10⁴ miles / 3,959 miles = 1.0966 × 10¹
Therefore, Jupiter's radius is approximately 1.0966 × 10¹ times bigger than Earth's radius.
To calculate how much bigger Jupiter's radius is compared to Earth's, we need to find the ratio of their radii.
The ratio can be determined by dividing Jupiter's radius by Earth's radius:
Ratio = Jupiter's radius / Earth's radius
Given that Earth's radius is approximately 3,959 miles (3.959 × 10⁴ miles in scientific notation) and Jupiter's radius is approximately 4.3441 × 10⁴ miles in scientific notation, we can plug in these values and calculate the ratio.
Ratio = (4.3441 × 10⁴) / (3.959 × 10⁴)
Ratio = (4.3441 / 3.959) × (10⁴ / 10⁴)
Ratio = 1.0978 × 10⁰
Since 10⁰ equals 1, we can simplify the ratio to:
Ratio = 1.0978
Therefore, Jupiter's radius is approximately 1.0978 times (or 1.0978-fold) larger than Earth's radius.