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.
To find the width of the park, you need to divide the area of the park by the length. The area of the park is 1.36×10^8 ft^2 and the length of the park is 1.6×10^4 ft.
So, you need to perform the division:
Width = Area / Length
Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)
To divide these two numbers, you can divide the coefficients (1.36 and 1.6) and subtract the exponents (8 - 4):
Width = 1.36 / 1.6 × 10^(8-4) ft
Width = 0.85 × 10^4 ft
Therefore, the width of the park is 8.5 × 10^3 ft.
Divide 3.3×104 by 5.5×107
To divide 3.3×10^4 by 5.5×10^7, you need to divide the coefficients (3.3 and 5.5) and subtract the exponents (4 - 7):
3.3 / 5.5 × 10^(4-7)
3.3 / 5.5 × 10^(-3)
However, it is important to note that this expression can be simplified further.
The result of 3.3/5.5 is approximately 0.6:
0.6 × 10^(-3)
So, dividing 3.3×10^4 by 5.5×10^7 is approximately 0.6 × 10^(-3) or 0.0006.
A city lunch program for seniors received a grant of 1.925×106 dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation.
To find out how many senior lunches the grant can provide, you need to divide the grant amount by the cost per lunch.
1.925×10^6 dollars / $2.75 per lunch
To divide these two numbers, you can divide the coefficients (1.925 and 2.75) and subtract the exponents (6 - 0):
1.925 / 2.75 × 10^(6-0) dollars
1.925 / 2.75 × 10^6 dollars
The result of dividing 1.925 by 2.75 is approximately 0.7:
0.7 × 10^6 dollars
Therefore, the grant can provide approximately 0.7 × 10^6 senior lunches.
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.
To find out how many gallons of perfume will be in each container, you need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5×10^2).
10.5 gallons / 3.5×10^2 containers
To divide these two numbers, you can divide the coefficients (10.5 and 3.5) and subtract the exponents (0 - 2):
10.5 / 3.5 × 10^(0-2) gallons
10.5 / 3.5 × 10^(-2) gallons
The result of dividing 10.5 by 3.5 is 3:
3 × 10^(-2) gallons
Therefore, there will be 3 × 10^(-2) gallons of perfume in each container.
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.
To find out how many square feet the pavilion is, you need to divide the total number of bricks (2.967×10^5 bricks) by the number of bricks per square foot (6.9 bricks/square foot).
2.967×10^5 bricks / 6.9 bricks per square foot
To divide these two numbers, you can divide the coefficients (2.967 and 6.9) and keep the same exponent (10^5):
2.967 / 6.9 × 10^(5) bricks/square foot
The result of dividing 2.967 by 6.9 is approximately 0.430:
0.430 × 10^(5) bricks/square foot
Therefore, the pavilion is approximately 0.430 × 10^(5) square feet.
To find the width of the park, we need to divide the area by the length.
First, let's address the given values:
Area of the park = 1.36 × 10^8 ft^2
Length of the park = 1.6 × 10^4 ft
To divide one number by another, we can simply use the division operation. In this case, we need to divide the area by the length:
Width of the park = Area / Length
Substituting the given values into the equation:
Width of the park = 1.36 × 10^8 ft^2 / 1.6 × 10^4 ft
Now, to divide the values with exponents, we can apply the rules of exponentiation. When dividing numbers with the same base, we can subtract the exponents:
Width of the park = 1.36 / 1.6 × 10^8-4 ft
Simplifying the above expression:
Width of the park = 0.85 × 10^4 ft
Finally, we can convert the number from scientific notation to standard decimal notation:
Width of the park = 0.85 × 10^4 ft = 8.5 × 10^3 ft
Therefore, the width of the rectangular park is 8.5 × 10^3 ft.