Question

A tape dispenser holds 1.14x-10^4 mm of tape that is 12.7 MM wide multiply the two numbers to find the total area in square millimeters of tape right the product in scientific notation.

Answer 1

To find the total area of the tape in square millimeters, we need to multiply the length of the tape by its width. We are given that the tape dispenser holds 1.14x10^4 mm of tape, and the tape is 12.7 mm wide.

Let's first start with the multiplication:

Length of the tape x Width of the tape = Total area of the tape

(1.14 × 10^4 mm) * (12.7 mm) = (1.14 * 12.7) * 10^4 mm^2

Now, let's multiply the numbers 1.14 and 12.7:

(1.14 * 12.7) = 14.478

Our multiplication gives us a result of 14.478. So, the total area is:

14.478 * 10^4 mm^2

In scientific notation, we want to have only one digit before the decimal point. For this, we should convert 14.478 into a number between 1 and 10:

1.4478 * 10^1

Now multiply this by 10^4 to get the final answer in scientific notation:

(1.4478 * 10^1) * 10^4 = 1.4478 * 10^(1+4) = 1.4478 * 10^5 mm^2

So, the total area of the tape in square millimeters, expressed in scientific notation, is 1.4478 * 10^5 mm^2.