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.

1 answer

To find the total area of the tape, we need to multiply the length of the tape (1.14 × 10^4 mm) by the width of the tape (12.7 mm).

1.14 × 10^4 mm multiplied by 12.7 mm is equal to:
1.14 × 12.7 × 10^4 mm²

To multiply these numbers, we can multiply 1.14 and 12.7 first, and then multiply the result by 10^4. The product of 1.14 and 12.7 is 14.478.

Therefore, 1.14 × 10^4 mm multiplied by 12.7 mm is equal to 14.478 × 10^4 mm².

In scientific notation, this is written as 1.4478 × 10^5 mm².