An area that is 3.2 square miles will be divided into 1.6 x 10^3 lots. How big will each lot be in scientific notation?
To find the area of each lot, we divide the total area of 3.2 square miles by the number of lots, 1.6 x 10^3.
3.2 square miles / 1.6 x 10^3 lots
To divide by 1.6 x 10^3, we divide by 1.6 and subtract 3 from the exponent.
3.2 / 1.6 = 2
10^3 / 10^3 = 1
Therefore, each lot will be 2 square miles in size.
In scientific notation, this can be written as 2 x 10^0.
Therefore, each lot will be 2 x 10^0 square miles in size in scientific notation.
To find the size of each lot, we need to divide the total area by the number of lots:
Size of each lot = Total area / Number of lots
Given that the total area is 3.2 square miles and the number of lots is 1.6 x 10^3, we can substitute these values into the formula:
Size of each lot = 3.2 square miles / (1.6 x 10^3) lots
To simplify the division, we can convert the total area into square feet (since square miles is a larger unit) and then divide:
1 square mile = 27,878,400 square feet
So, the total area in square feet is:
Total area = 3.2 square miles * 27,878,400 square feet/square mile
Total area = 89,049,280 square feet
Now we can substitute the values into the formula:
Size of each lot = 89,049,280 square feet / (1.6 x 10^3) lots
To express the lot size in scientific notation, we divide the numerator and denominator by 10^3:
Size of each lot = (89,049,280 / 10^3) square feet / 1.6 lots
Size of each lot = 8.904928 x 10^4 square feet / 1.6 lots
Finally, we can express the lot size in scientific notation:
Size of each lot = 5.56558 x 10^4 square feet in scientific notation.
To find the size of each lot in scientific notation, we need to divide the total area by the number of lots.
First, let's convert the area from square miles to square feet. Since 1 mile is equal to 5280 feet, the area in square feet would be:
3.2 square miles * (5280 feet/mile) * (5280 feet/mile) = 3.2 * (5280^2) square feet.
Now we can divide this area by the number of lots:
3.2 * (5280^2) square feet / (1.6 x 10^3) lots.
To simplify the division, we can rewrite it in scientific notation:
3.2 * (5280^2) square feet / (1.6 x 10^3) lots =
(3.2 / 1.6) * (5280^2) square feet / (10^3) lots =
2 * (5280^2) square feet / 10^3 lots.
To express the result in scientific notation, we divide the numerator by 10^3:
2 * (5280^2) square feet / 10^3 lots = 2 * (5280^2) / (10^3) square feet/lots.
Therefore, each lot will be 2 * (5280^2) square feet, which can be expressed in scientific notation as follows:
2 * (5280^2) = 2 * (2.78 x 10^4)^2 =
2 * 2.78^2 * (10^4)^2 =
2 * 7.7284 * 10^8 =
1.54568 * 10^9 square feet.
Each lot will be approximately 1.54568 x 10^9 square feet in scientific notation.