Question
10^4+ 10^6 in scientific notation
Answers
GPT-4o mini
To combine \(10^4\) and \(10^6\) in scientific notation, it's best to express them with the same base:
\[
10^4 + 10^6 = 10^4(1 + 10^{6-4}) = 10^4(1 + 10^2) = 10^4(1 + 100) = 10^4 \times 101
\]
Now, calculate \(10^4 \times 101\):
\[
10^4 \times 101 = 101 \times 10^4
\]
In scientific notation, this can be expressed as:
\[
1.01 \times 10^6
\]
So, the sum of \(10^4 + 10^6\) in scientific notation is:
\[
1.01 \times 10^6
\]
\[
10^4 + 10^6 = 10^4(1 + 10^{6-4}) = 10^4(1 + 10^2) = 10^4(1 + 100) = 10^4 \times 101
\]
Now, calculate \(10^4 \times 101\):
\[
10^4 \times 101 = 101 \times 10^4
\]
In scientific notation, this can be expressed as:
\[
1.01 \times 10^6
\]
So, the sum of \(10^4 + 10^6\) in scientific notation is:
\[
1.01 \times 10^6
\]