To find the total area in square millimeters of the tape, you need to multiply the length of the tape by its width. You have:
- Length of tape = \(1.14 \times 10^4 , \text{mm}\)
- Width of tape = \(12.7 , \text{mm}\)
First, express \(12.7\) in scientific notation: \(12.7 = 1.27 \times 10^1\).
Now, multiply the two quantities:
\[ (1.14 \times 10^4) \times (1.27 \times 10^1) \]
Multiply the coefficients:
\[ 1.14 \times 1.27 = 1.4458 \]
Now, multiply the powers of 10:
\[ 10^4 \times 10^1 = 10^{4+1} = 10^5 \]
So now, combine the results:
\[ 1.4458 \times 10^5 \]
Finally, we need to express \(1.4458\) in scientific notation, which can be approximated to \(1.4478\):
\[ 1.4478 \times 10^5 , \text{mm}^2 \]
Therefore, the correct answer is:
1.4478×10^5 mm²