Question

a tape dispenser holds 1.14×10 power of four and ends of tape that is 12.7 and Mm wide multiply the two numbers to find the total area and square millimeters of tape right the product and scientific notation so with the answer be 1.4478×10 power of four and then two or 14.478×10 power of four and then two or 14.478×10 power of five and then two or 1.4478×10 power of five mm2

Answer 1

To find the total area of the tape in square millimeters (mm²), you can multiply the number of tape ends by the width of the tape.

1. You have:
- Number of tape ends: \( 1.14 \times 10^4 \)
- Width of the tape: \( 12.7 \) mm

2. Multiply these two numbers:

\[
(1.14 \times 10^4) \times (12.7) = 1.14 \times 12.7 \times 10^4
\]

3. Calculating \( 1.14 \times 12.7 \):

\[
1.14 \times 12.7 = 14.478
\]

4. Now, multiply by \( 10^4 \):

\[
14.478 \times 10^4
\]

5. To express this in scientific notation, you should rewrite \( 14.478 \) as \( 1.4478 \times 10^1 \):

\[
14.478 \times 10^4 = (1.4478 \times 10^1) \times 10^4 = 1.4478 \times 10^{5}
\]

Thus, the total area of the tape in square millimeters, expressed in scientific notation, is:

\[
\boxed{1.4478 \times 10^5 \, \text{mm}^2}
\]