Question

Find 0.078 - (5.2 x 10^3) express your answer in scientific notion do not round your answer

Answer 1

To subtract 5.2 x 10^3 from 0.078, we can change 0.078 to scientific notation:

0.078 = 7.8 x 10^-2

Now we can subtract:

7.8 x 10^-2 - 5.2 x 10^3

To subtract numbers in scientific notation, the exponents need to match. Therefore, we need to convert 7.8 x 10^-2 to have an exponent of 3:

7.8 x 10^-2 = 0.0078 x 10^3

Now we can subtract:

0.0078 x 10^3 - 5.2 x 10^3 = (0.0078 - 5.2) x 10^3 = -5.1922 x 10^3

Therefore, the answer in scientific notation is -5.1922 x 10^3.

Answer 2

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 answer. (1 point)

Answer 3

To find how much bigger Jupiter's radius is compared to Earth's, we can subtract Earth's radius from Jupiter's radius.

Jupiter's radius: 4.3441 × 10^4 miles
Earth's radius: 3,959 miles

To subtract these two values, we need to convert Earth's radius to scientific notation:

Earth's radius: 3,959 miles = 3.959 × 10^3 miles

Now we can subtract:

Jupiter's radius - Earth's radius:

(4.3441 × 10^4 miles) - (3.959 × 10^3 miles) = (4.3441 - 3.959) × 10^4 miles = 0.3851 × 10^4 miles

Simplifying further, we have:

0.3851 × 10^4 miles = 3.851 × 10^3 miles

Therefore, Jupiter's radius is 3.851 × 10^3 miles bigger than Earth's radius.