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.(1 point)
Responses
8.5×105 ft.
8.5 times 10 superscript 5 baseline ft.
8.5×104 ft.
8.5 times 10 superscript 4 baseline ft.
8.5×102 ft.
8.5 times 10 squared ft.
8.5×103 ft.
To find the width of the park, we need to divide the area by the length:
Width = Area / Length
Width = (1.36x10^8 ft^2) / (1.6x10^4 ft)
Simplifying this expression gives us:
Width = 8.5x10^3 ft.
Therefore, the correct answer is 8.5×10^3 ft.
Divide 3.3×104 by 5.5×107
.(1 point)
Responses
6×10−4
6 times 10 to the negative 4 power
6×10−6
6 times 10 to the negative 6 power
6×10−3
6 times 10 to the negative 3 power
6×10−5
6 times 10 to the negative 5 power
To divide 3.3×10^4 by 5.5×10^7, we need to divide the numbers and subtract the exponents:
(3.3×10^4) / (5.5×10^7) = 3.3/5.5 × 10^(4-7)
Simplifying this expression gives us:
= 0.6 × 10^(-3)
Therefore, the correct answer is 6×10^(-4).
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.(1 point)
Responses
7×106
7 times 10 superscript 6 baseline
7×105
7 times 10 superscript 5 baseline
0.7×106
0.7 times 10 superscript 6 baseline
0.7×105
To find out how many senior lunches the grant can provide, we need to divide the grant amount by the cost per lunch:
Number of lunch = Grant amount / Cost per lunch
Number of lunch = (1.925×10^6 dollars) / (2.75 dollars)
Simplifying this expression gives us:
Number of lunch = 7×10^5
Therefore, the correct answer is 7×10^5.
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.(1 point)
Responses
0.35×10−1
0.35 times 10 superscript negative 1 baseline
3×102
3 times 10 squared
3×10−2
3 times 10 negative squared
3×10−1
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.(1 point)
Responses
4.3×104
4.3 times 10 superscript 4 baseline
2.33×105
2.33 times 10 superscript 5 baseline
0.43×104
0.43 times 10 superscript 4 baseline
4.3×105
To find out the square footage of the pavilion, we need to divide the number of bricks by the number of bricks per square foot:
Square footage = Number of bricks / Bricks per square foot
Square footage = 2.967×10^5 bricks / 6.9 bricks per square foot
Simplifying this expression gives us:
Square footage = 4.3×10^4
Therefore, the correct answer is 4.3×10^4.
To find out how many gallons of perfume will be in each container, we need to divide the total amount of perfume by the number of containers:
Gallons per container = Total gallons / Number of containers
Gallons per container = 10.5 gallons / (3.5×10^2 containers)
Simplifying this expression gives us:
Gallons per container = 0.3×10^1
Therefore, the correct answer is 0.3×10^1.