what is 5.5x10^4. multiplied by 2.2x10^-8 write this answer in scientific notation
To multiply numbers in scientific notation, you multiply the decimal parts and then add the exponents of the powers of ten.
5.5 x 10^4 multiplied by 2.2 x 10^-8 is:
(5.5 x 2.2) x (10^4 x 10^-8)
First, multiply the decimal parts:
5.5 x 2.2 = 12.1
Then, add the exponents for the powers of ten:
10^4 x 10^-8 = 10^(4 + (-8)) = 10^(-4)
So you have:
12.1 x 10^-4
To express the answer in proper scientific notation, the decimal part should be between 1 and 10. The number 12.1 is not within that range, so we can write it as 1.21 by moving one decimal place to the left, and we must increase the exponent by one to compensate:
1.21 x 10^(-4+1)
1.21 x 10^-3
Therefore, the final answer in scientific notation is:
1.21 x 10^-3