Respuesta :
Answer:
Part A: The area of the field is 8.25 x 10^6 square feet.
Part B: 8.25 x 10^6
Part C: For the number of significant digits in the final answer, we consider the significant digits in the given measurements. Both 2.5 and 3.3 have two significant digits each, so the result should also be rounded to two significant digits. Therefore, the final answer in scientific notation with the correct number of significant digits is 8.3 x 10^6 square feet.
Step-by-step explanation:
To calculate the area of the rectangular field, we need to multiply the length by the width. Given that the bottom is labeled as 2.5 x 10^3 feet and the right side is labeled as 3.3 x 10^3 feet, we can determine the area as follows:
Area = length x width
Area = (2.5 x 10^3 feet) x (3.3 x 10^3 feet)
Area = 2.5 x 3.3 x (10^3 feet x 10^3 feet)
Area = 8.25 x 10^6 square feet
Therefore, the area of the field is 8.25 x 10^6 square feet.
In scientific notation, this can be written as 8.25 x 10^6 square feet.
For the number of significant digits in the final answer, we consider the significant digits in the given measurements. Both 2.5 and 3.3 have two significant digits each, so the result should also be rounded to two significant digits. Therefore, the final answer in scientific notation with the correct number of significant digits is 8.3 x 10^6 square feet.
This answer is the most likely correct choice based on the standard rules of significant figures in calculations.
Answer:
Part A: [tex] \textsf{Area} = 8.25 \times 10^6 [/tex]
Part B: [tex]8.25 \times 10^6[/tex]
Step-by-step explanation:
Part A)
To find the area of the rectangular field, we use the formula:
[tex] \textsf{Area} = \textsf{Length} \times \textsf{Width} [/tex]
Given that the length is [tex]2.5 \times 10^3[/tex] feet and the width is [tex]3.3 \times 10^3[/tex] feet, we can substitute these values into the formula:
[tex] \textsf{Area} = (2.5 \times 10^3) \times (3.3 \times 10^3) [/tex]
Now, let's perform the multiplication:
[tex] \textsf{Area} = (2.5 \times 3.3) \times (10^3 \times 10^3) [/tex]
[tex] \textsf{Area} = 8.25 \times 10^6 [/tex]
[tex]\hrulefill[/tex]
Part B) The final answer in scientific notation with the correct number of significant digits is [tex]8.25 \times 10^6[/tex].
[tex]\hrulefill[/tex]
Part C) To determine the number of significant digits in the final answer, we count the significant digits in the given values.
Both [tex]2.5 \times 10^3[/tex] and [tex]3.3 \times 10^3[/tex] have two significant digits each. When we multiply these values, the result should have the same number of significant digits as the least precise value, which in this case is 2.
Therefore, our final answer has two significant digits.
