Divide. Write your answer in scientific notation.
2 × 10^6
4 × 10^8
Question & Answer
Divide. Write your answer in scientific notation. 2 × 10^6 4 × 10^8
1 Answer
Verified archiveTo divide the two numbers in scientific notation, you need to divide their coefficients and subtract the exponents.
So, the division ( frac{2 times 10^6}{4 times 10^8} ) can be done as follows:
1. Divide the coefficients: ( frac{2}{4} = 0.5 ).
2. Subtract the exponents: ( 10^{6 – 8} = 10^{-2} ).
Now combine them:
[ 0.5 times 10^{-2} ]
To express ( 0.5 ) in scientific notation, it can be written as ( 5 times 10^{-1} ). Therefore:
[ 0.5 times 10^{-2} = 5 times 10^{-1} times 10^{-2} = 5 times 10^{-3} ]
Thus, the final answer in scientific notation is:
[ 5 times 10^{-3} ]