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
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
To find the total area of tape in square millimeters, we need to multiply the length of the tape (1.14×10^4 mm) by its width (12.7 mm).
Multiplying these two numbers gives us 1.14×10^4 mm × 12.7 mm = 14.478 × 10^4 mm².
Therefore, the correct answer is C. 14.478×10^4 mm².
To find the total area of the tape in square millimeters, you need to multiply the length of the tape (1.14×10^4 mm) by the width of the tape (12.7 mm).
To multiply numbers in scientific notation, you multiply the coefficients (the numbers in front of the powers of 10) and add the exponents.
So, multiplying 1.14×10^4 mm by 12.7 mm gives us 1.14 × 12.7 × 10^4 mm^2.
Multiplying 1.14 by 12.7 gives us 14.478, and multiplying 10^4 by mm^2 gives us 10^4 mm^2.
So, the product in scientific notation is 14.478×10^4 mm^2.
Therefore, the correct answer is C. 14.478×10^4 mm^2.