how do you divide 1.49457 x 10^11 by 3.00 x 10^8? thanks for the help
Divide 1.49457 by 3.00, and (for the exponent part), subtract exponents to get 10^8.
The answer is 0.49819*10^3 = 498.19
To divide numbers written in scientific notation, follow these steps:
Step 1: Divide the decimal parts of the numbers.
In this case, divide 1.49457 by 3.00:
1.49457 ÷ 3.00 = 0.49819
Step 2: Divide the powers of 10.
In this case, subtract the exponent of the denominator from the exponent of the numerator:
(10^11) ÷ (10^8) = 10^(11-8) = 10^3 = 1000
Step 3: Write the result in scientific notation.
Combine the decimal part from step 1 with the power of 10 from step 2:
Final result: (0.49819) x (10^3) = 4.9819 x 10^2
Therefore, 1.49457 x 10^11 ÷ 3.00 x 10^8 = 4.9819 x 10^2
Note: The result has been rounded to five decimal places.