Divide in Scientific Notation Quick Check

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Item 1

Item 2

Item 3

A rectangular park has an area of 1.36 x 108 ft2. The length of the park is 1.6 x 104 ft. Divide the area by the length to find the width of the park. (1 point)

8.5 x 10^5 ft.

O 8.5 x 10^3 ft.

8.5 x 10^4 ft.

O 8.5 x 10^2 ft.

To find the width of the park, we need to divide the area by the length. The area is given in scientific notation, as 1.36 x 10^8 ft^2, and the length is given as 1.6 x 10^4 ft.

To divide these values, we divide the coefficients (1.36 / 1.6) and subtract the exponents (10^8 / 10^4).

1.36 / 1.6 = 0.85, and 10^8 / 10^4 = 10^(8-4) = 10^4.

Therefore, the width of the park in scientific notation is 0.85 x 10^4 ft.

Rewriting this in proper scientific notation:

0.85 x 10^4 ft = 8.5 x 10^3 ft.

So the width of the park is 8.5 x 10^3 ft.

Sorry i ment, Divide in Scientific Notation Quick Check

1 of 5

Item 1

Item 2

Item 3

A rectangular park has an area of 1.36 x 108 ft2. The length of the park is 1.6 x 104 ft. Divide the area by the length to find the width of the park. (1 point)

8.5 x 105 ft.

O 8.5 x 103 ft.

Item 4

8.5 x 10 ft.

O 8.5 x 102 ft.

Hem &
Divide in Scientific Notation Quick Check

1 of 5

Item 1

Item 2

Item 3

A rectangular park has an area of 1.36 x 10^8 ft^2. The length of the park is 1.6 x 10^4 ft. Divide the area by the length to find the width of the park. (1 point)

8.5 x 10^5 ft.

O 8.5 x 10^3 ft.

8.5 x 10^4ft.

O 8.5 x 10^2 ft.

To find the width of the park, we need to divide the area by the length. The area is given in scientific notation as 1.36 x 10^8 ft^2, and the length is given as 1.6 x 10^4 ft.

To divide these values, we divide the coefficients (1.36 / 1.6) and subtract the exponents (10^8 / 10^4).

1.36 / 1.6 = 0.85, and 10^8 / 10^4 = 10^(8-4) = 10^4.

Therefore, the width of the park in scientific notation is 0.85 x 10^4 ft.

Rewriting this in proper scientific notation:

0.85 x 10^4 ft = 8.5 x 10^3 ft.

So the width of the park is 8.5 x 10^3 ft.

The correct answer to the question is:

O 8.5 x 10^3 ft.

To find the width of the park, we need to divide the area by the length.

The area is given as 1.36 x 10^8 ft^2, and the length is given as 1.6 x 10^4 ft.

To divide in scientific notation, divide the numerical coefficients (1.36 / 1.6) and subtract the powers of 10 (10^8 / 10^4).

So, the width of the park is (1.36 / 1.6) x 10^(8-4)= 0.85 x 10^4 ft.

In scientific notation, this can be written as 8.5 x 10^3 ft.

Therefore, the correct answer is option O) 8.5 x 10^3 ft.

To find the width of the park, you need to divide the area of the park by its length.

Step 1: Write down the area and length in scientific notation:
Area = 1.36 x 10^8 ft²
Length = 1.6 x 10^4 ft

Step 2: Divide the numbers:
1.36 ÷ 1.6 = 0.85

Step 3: Divide the exponents:
10^8 ÷ 10^4 = 10^(8-4) = 10^4

Step 4: Combine the result from step 2 and step 3:
0.85 x 10^4

Therefore, the width of the park is 0.85 x 10^4 ft, which in standard form is 8.5 x 10^3 ft. So, the correct answer is "8.5 x 10^3 ft" (Option O).