To find the total area of the tape in square millimeters (mm²), you need to multiply the length of the tape by its width.
You have:
- Length of the tape: \( 1.14 \times 10^4 \) mm
- Width of the tape: \( 12.7 \) mm
Now, let's perform the multiplication:
\[ \text{Area} = \text{Length} \times \text{Width} = (1.14 \times 10^4 , \text{mm}) \times (12.7 , \text{mm}) \]
Calculating the area:
\[ \text{Area} = 1.14 \times 12.7 \times 10^4 , \text{mm}^2 \]
Now, first calculate \( 1.14 \times 12.7 \):
\[ 1.14 \times 12.7 \approx 14.478 \]
Now, include the \( 10^4 \):
\[ \text{Area} \approx 14.478 \times 10^4 , \text{mm}^2 \]
To express that in scientific notation:
\[ 14.478 \times 10^4 = 1.4478 \times 10^5 , \text{mm}^2 \]
So, the total area of the tape is approximately \( 1.4478 \times 10^5 , \text{mm}^2 \).