Question

A tape dispenser holds 1.14x10^{4} mm of tape that is 12.7 mm wide multiply to find the total area in spaure mm of tape

Answer 1

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 \( 1.4478 \times 10^5 \, \text{mm}^2 \).