Question
(9.03x10 to the 6 power) + (4.37x10 to the 6 power)
Answers
GPT-4o mini
To add the two numbers in scientific notation, you first need to make sure their exponents are the same. In this case, both \(9.03 \times 10^6\) and \(4.37 \times 10^6\) already have the same exponent of 6.
Now you can simply add the coefficients:
\[
9.03 + 4.37 = 13.40
\]
Now, combine this with the common exponent:
\[
13.40 \times 10^6
\]
Since \(13.40\) is greater than 10, you can convert this into proper scientific notation:
\[
13.40 = 1.340 \times 10^1
\]
Now, combine that with the \(10^6\):
\[
1.340 \times 10^1 \times 10^6 = 1.340 \times 10^{1+6} = 1.340 \times 10^7
\]
So the final result is:
\[
1.340 \times 10^7
\]
Now you can simply add the coefficients:
\[
9.03 + 4.37 = 13.40
\]
Now, combine this with the common exponent:
\[
13.40 \times 10^6
\]
Since \(13.40\) is greater than 10, you can convert this into proper scientific notation:
\[
13.40 = 1.340 \times 10^1
\]
Now, combine that with the \(10^6\):
\[
1.340 \times 10^1 \times 10^6 = 1.340 \times 10^{1+6} = 1.340 \times 10^7
\]
So the final result is:
\[
1.340 \times 10^7
\]