To find the total area of the tape in square millimeters, we can multiply the length of the tape by its width.
Given:
- Length of tape = \(1.14 \times 10^4\) mm
- Width of tape = \(12.7\) mm
Now, we can perform the multiplication:
\[ \text{Total Area} = (1.14 \times 10^4 , \text{mm}) \times (12.7 , \text{mm}) \]
First, multiply the numerical parts:
\[ 1.14 \times 12.7 = 14.518 \]
Next, you will need to consider the power of 10:
\[ 10^4 (from , tape , length) \]
Now put it all together:
\[ \text{Total Area} = 14.518 \times 10^4 , \text{mm}^2 \]
To express this in scientific notation, we need to adjust \(14.518\) so that it is between 1 and 10:
\[ 14.518 = 1.4518 \times 10^1 \]
So now rewrite the area:
\[ \text{Total Area} = 1.4518 \times 10^1 \times 10^4 , \text{mm}^2 \]
Combine the powers of 10:
\[ \text{Total Area} = 1.4518 \times 10^{1+4} , \text{mm}^2 = 1.4518 \times 10^5 , \text{mm}^2 \]
Thus, the total area of the tape in scientific notation is:
\[ \boxed{1.4518 \times 10^5 , \text{mm}^2} \]
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