A tape dispenser holds 1.14 x 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 point)
• 1.4478 × 10^4 mm^2
• 14.478 × 10^5 mm^2
• 14.478 × 10^4 mm^2
• 1.4478 × 10^5 mm^2
To find the total area of the tape, you need to multiply the length of the tape (1.14 x 10^4 mm) by the width of the tape (12.7 mm).
1.14 x 10^4 mm x 12.7 mm = 1.4478 x 10^5 mm^2
So, the correct answer is:
• 1.4478 x 10^5 mm^2
To find the total area of the tape, we need to multiply the length and width of the tape.
The length of the tape dispenser is given as 1.14 x 10^4 mm.
The width of the tape is given as 12.7 mm.
To find the total area, we multiply the length and width:
1.14 x 10^4 mm * 12.7 mm = (1.14 * 12.7) x 10^4 mm * mm
Using a calculator or doing the multiplication by hand:
1.14 * 12.7 = 14.478
Therefore, the total area of the tape is 14.478 x 10^4 mm^2.
So the correct answer is:
• 14.478 × 10^4 mm^2
To find the total area in square millimeters of tape, we need to multiply the length of tape (1.14 x 10^4 mm) by the width of the tape (12.7 mm).
To multiply numbers in scientific notation, we multiply the coefficients and then add the exponents.
1.14 x 10^4 mm multiplied by 12.7 mm equals (1.14 x 12.7) x (10^4 x 10^0) mm^2.
Multiplying the coefficients, we get 14.478.
Adding the exponents, we get 10^4 x 10^0 = 10^4.
Therefore, the total area in square millimeters of the tape is 14.478 x 10^4 mm^2.
This answer is equivalent to 1.4478 x 10^5 mm^2, so the correct choice is 1.4478 x 10^5 mm^2.