Question

Find the sum.
4.31 times 10 Superscript 4 Baseline plus 4.49 times 10 Superscript 4 Baseline plus 4.2 times 10 Superscript 4
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Part 1
4.31 times 10 Superscript 4 Baseline plus 4.49 times 10 Superscript 4 Baseline plus 4.2 times 10 Superscript 4equals
  
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​(Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)

Answer 1

To find the sum of the numbers in scientific notation, we can first rewrite them as:

- \( 4.31 \times 10^4 \)
- \( 4.49 \times 10^4 \)
- \( 4.2 \times 10^4 \)

Since all the numbers are expressed with the same power of 10 \( (10^4) \), we can combine their coefficients:

1. Add the coefficients:
\[
4.31 + 4.49 + 4.2
\]
- \( 4.31 + 4.49 = 8.8 \)
- \( 8.8 + 4.2 = 13.0 \)

2. Now, write the sum in scientific notation:
\[
13.0 \times 10^4
\]

3. To express it in standard scientific notation, we need to adjust it to have a single digit before the decimal. We can do this by rewriting \( 13.0 \) as \( 1.3 \times 10^1 \) (because \( 13.0 = 1.3 \times 10^1 \)).

4. Combine the powers of 10:
\[
1.3 \times 10^1 \times 10^4 = 1.3 \times 10^{1+4} = 1.3 \times 10^5
\]

Thus, the final sum in scientific notation is:
\[
\boxed{1.3 \times 10^5}
\]