Answer :
Let's solve the problem of adding two numbers expressed in scientific notation.
We have the numbers:
- [tex]\( 5.78 \times 10^5 \)[/tex]
- [tex]\( 1.69 \times 10^5 \)[/tex]
Since these numbers have the same exponent ([tex]\(10^5\)[/tex]), we can directly add their coefficients:
1. Add the coefficients:
[tex]\[
5.78 + 1.69 = 7.47
\][/tex]
2. Keep the same power of ten:
- The exponent [tex]\(10^5\)[/tex] remains unchanged.
So, combining the result from the addition of the coefficients with the unchanged power of ten:
[tex]\[
7.47 \times 10^5
\][/tex]
Therefore, the answer expressed in scientific notation is:
[tex]\[
7.47 \times 10^5
\][/tex]
We have the numbers:
- [tex]\( 5.78 \times 10^5 \)[/tex]
- [tex]\( 1.69 \times 10^5 \)[/tex]
Since these numbers have the same exponent ([tex]\(10^5\)[/tex]), we can directly add their coefficients:
1. Add the coefficients:
[tex]\[
5.78 + 1.69 = 7.47
\][/tex]
2. Keep the same power of ten:
- The exponent [tex]\(10^5\)[/tex] remains unchanged.
So, combining the result from the addition of the coefficients with the unchanged power of ten:
[tex]\[
7.47 \times 10^5
\][/tex]
Therefore, the answer expressed in scientific notation is:
[tex]\[
7.47 \times 10^5
\][/tex]