A tape dispenser holds 1.14×104 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 multiply the two numbers, we have:

1.14×104 mm × 12.7 mm

To multiply these numbers, we simply multiply the digits by each other and add the exponents:

1.14 × 12.7 = 14.478

104 + 1 = 105

So, the product is 14.478 × 105.

Written in scientific notation, this is:

1.478 × 106 square millimeters. Answer: \boxed{1.478 \times 10^6}.