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