A tape dispenser holds 1.14×10^4 mm of tape that is 12.7 mm wide. Multiply the two numbers to find the total area in square millimeters of tape. Write the product in scientific notation.

A. 14.478×10^5 mm^2

B. 1.4478×10^5 mm^2

C. 14.478×10^4 mm^2

D. 1.4478×10^4 mm^2

1 answer

To find the total area in square millimeters of tape, we need to multiply the length and width of the tape.

Length = 1.14×10^4 mm
Width = 12.7 mm

To find the area, we multiply:

1.14×10^4 mm × 12.7 mm = (1.14 × 12.7) × (10^4 × 1) mm^2 = 14.478 × 10^4 mm^2

Writing the answer in scientific notation, we get:

14.478 × 10^4 mm^2

So, the correct answer is C. 14.478×10^4 mm^2