Answer:Part A) To find the area of the portion of the field that has crops growing, we need to find half of the total area of the field.
The total area of the field can be found by multiplying the length and width of the rectangle:
Total area = length × width
Given:
Length = 2.5 × 10³ ft
Width = 3.3 × 10³ ft
Total area = (2.5 × 10³ ft) × (3.3 × 10³ ft)
To multiply numbers in scientific notation, we multiply the coefficients and add the exponents:
Total area = (2.5 × 3.3) × (10³ × 10³) ft²
Multiplying the coefficients gives:
Total area = 8.25 × (10³ × 10³) ft²
To multiply powers of 10, we add the exponents:
Total area = 8.25 × 10^(3+3) ft²
Total area = 8.25 × 10⁶ ft²
Now, to find half of the total area, we divide it by 2:
Area with crops growing = 8.25 × 10⁶ ft² ÷ 2
Dividing by 2 gives:
Area with crops growing = 4.125 × 10⁶ ft²
Part B) The final answer in scientific notation with the correct number of significant digits is:
4.125 × 10⁶ ft²
Part C) I chose the number of significant digits in the final answer based on the significant digits in the given measurements. In this case, both measurements have three significant digits (2.5 and 3.3). Therefore, the result should have three significant digits as well. The coefficient 4.125 has four significant digits, but we can round it to three significant digits to match the given measurements.
Explanation: