To find the total length of the two insects, you can simply add their lengths together.
First, express the lengths in the same notation:
- First insect: \( 4 \times 10^{-2} \) inches
- Second insect: \( 1.3 \times 10^{-1} \) inches
Convert the second insect's length into the same power of ten as the first:
\[ 1.3 \times 10^{-1} = 1.3 \times 10^{-1} = 13 \times 10^{-2} \]
Now, you can add them:
\[ 4 \times 10^{-2} + 13 \times 10^{-2} = (4 + 13) \times 10^{-2} = 17 \times 10^{-2} \]
To express it in standard scientific notation:
\[ 17 \times 10^{-2} = 1.7 \times 10^{-1} \text{ inches} \]
So, the total length of the two insects is \( 1.7 \times 10^{-1} \) inches.