Question

A rectangular park has an area of 1.36×108 ft2 . The length of the park is 1.6×104 ft. Divide the area by the length to find the width of the park

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Area of the park = 1.36 × 10^8 ft^2
Length of the park = 1.6 × 10^4 ft

Width = Area / Length
Width = (1.36 × 10^8 ft^2) / (1.6 × 10^4 ft)

When dividing numbers in scientific notation, we subtract the exponents:
Width = 8.5 × 10^3 ft

Therefore, the width of the park is 8.5 × 10^3 ft.

Answer 2

Divide 3.3×104 by 5.5×

Answer 3

[AI-generated answer — Bot GPT 3.5]

To divide 3.3 × 10^4 by 5.5 × 10:

We can divide the numerical parts and subtract the exponents:
3.3 ÷ 5.5 = 0.6

Then, subtract the exponents:
10^4 ÷ 10 = 10^3

Putting it all together, the result is:
0.6 × 10^3

Therefore, 3.3 × 10^4 divided by 5.5 × 10 is 0.6 × 10^3

Answer 4

Solomon needs to distribute 10.5 gallons of perfume among 3.5×102 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find out how many gallons of perfume will be in each container, we can divide the total gallons of perfume by the number of containers.

Total gallons of perfume = 10.5 gallons
Number of containers = 3.5 × 10^2 containers

Gallons of perfume per container = Total gallons of perfume / Number of containers
Gallons of perfume per container = 10.5 gallons / (3.5 × 10^2 containers)

We can simplify this division by dividing the numerical parts and subtracting the exponents:
10.5 ÷ 3.5 = 3
10^0 ÷ 10^2 = 10^(-2) = 0.01

Putting it all together, the result is:
3 × 0.01

Therefore, there will be 0.03 gallons of perfume in each container, which can be written in scientific notation as 3 × 10^(-2) gallons.

Answer 6

A large pavilion is made of 2.967×105 bricks. There are 6.9 bricks per square foot. How many square feet is the pavilion? Write the answer in scientific notation.

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find out the square footage of the pavilion, we need to divide the total number of bricks by the number of bricks per square foot.

Total number of bricks = 2.967 × 10^5 bricks
Bricks per square foot = 6.9 bricks/square foot

Square footage of the pavilion = Total number of bricks / Bricks per square foot
Square footage of the pavilion = 2.967 × 10^5 bricks / 6.9 bricks/square foot

We can simplify this division by dividing the numerical parts and subtracting the exponents:
2.967 ÷ 6.9 = 0.43
10^5 ÷ 10^0 = 10^5

Putting it all together, the result is:
0.43 × 10^5

Therefore, the pavilion is 0.43 × 10^5 square feet, or 43,000 square feet in standard form.