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 and scientific notation
To find the total area of the tape, we multiply its length by its width.
Length of tape (in mm) = 1.14 * 10^4 mm
Width of tape (in mm) = 12.7 mm
Total area of tape = Length * Width
Total area of tape = 1.14 * 10^4 mm * 12.7 mm
Total area of tape = 14.478 * 10^4 * mm^2
Written in scientific notation, the product is:
1.4478 * 10^5 mm^2
To find the total area in square millimeters of tape, we need to multiply the length and width of the tape.
First, let's convert 1.14 * 10^4 mm to standard form. In scientific notation, we move the decimal point to the left or right to express the value as a number between 1 and 10 multiplied by a power of 10. So, 1.14 * 10^4 mm becomes 11,400 mm.
The length of the tape is 11,400 mm, and the width is 12.7 mm.
To find the area, we can multiply the length by the width.
Area = length * width
Area = 11,400 mm * 12.7 mm
Calculating this multiplication, the total area in square millimeters is:
Area = 145,080 mm^2
Now let's express this result in scientific notation.
Since the product is greater than 10, we need to move the decimal point one place to the left. In doing so, the number itself will become 1.4508.
We also count the number of places we have moved the decimal point, which is one place.
Therefore, the product in scientific notation is:
1.4508 * 10^5 mm^2
To find the total area in square millimeters of tape, you need to multiply the length of the tape by its width.
Length of tape: 1.14 * 10^4 mm
Width of tape: 12.7 mm
To multiply these two numbers, you can use the basic multiplication process. Here's how to do it:
1. Remove the scientific notation from the length of tape: 1.14 * 10^4 mm = 11400 mm
To do this, you move the decimal point four places to the right, as indicated by the exponent value of 10^4.
2. Multiply the length and width of tape: 11400 mm * 12.7 mm
To perform this multiplication:
11400 mm
× 12.7 mm
____________
828600
3. Convert the product back into scientific notation: 828600 mm = 8.286 * 10^5 mm
Therefore, the total area of the tape in square millimeters is 8.286 * 10^5 mm².