The diameter of the sun is approximately 1.4x10 to the power 9 km and the diameter of earth is approximately 1.28 x10 to the 4th power km. About how many times earths diameter is the suns diameter. Write in scientific notation.
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
Online "^" is used to indicate an exponent, e.g., x^2 = x squared.
When multiplying/dividing, exponents are added/subtracted respectively.
1.4*10^9/1.28*10^4 = 1.09*10^5
To find out how many times the Sun's diameter is the Earth's diameter, we can divide the diameter of the Sun by the diameter of the Earth.
Let's convert the given values to scientific notation for easier calculation:
Diameter of the Sun = 1.4 × 10^9 km
Diameter of the Earth = 1.28 × 10^4 km
To perform the division, we subtract the exponents since the bases (10) are the same:
(1.4 × 10^9) / (1.28 × 10^4)
Dividing the coefficients, we get:
1.4 / 1.28 = 1.09375
Now we subtract the exponents:
10^(9-4) = 10^5
Combining the results, the Sun's diameter is approximately 1.09375 × 10^5 times the Earth's diameter.