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
3×10−1
3 times 10 superscript negative 1 baseline
0.35×10−1
0.35 times 10 superscript negative 1 baseline
3×102
3 times 10 squared
3×10−2
3×10−2
To find out how many gallons of perfume will be in each container, we need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5×10^2 containers).
Dividing 10.5 gallons by 3.5×10^2 containers, we can simplify it as follows:
10.5 gallons ÷ (3.5×10^2) containers
Now, we need to simplify the divisor by performing the multiplication:
3.5×10^2 = 3.5 × 100 = 350
Now, we can divide the total amount of perfume by the total number of containers:
10.5 gallons ÷ 350 containers = 0.03 gallons
To write the answer in scientific notation, we can express it as:
0.03 gallons = 3×10^-2 gallons
Therefore, each container will have 3×10^-2 gallons of perfume.
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.
The total amount of perfume is given as 10.5 gallons, and the number of containers is given in scientific notation as 3.5×10^2.
To compute the answer, we can use the following steps:
Step 1: Rewrite the given scientific notation in decimal form.
3.5×10^2 = 3.5 × 100 = 350
Step 2: Divide the total amount of perfume by the number of containers.
10.5 gallons / 350 containers = 0.03 gallons
Step 3: Write the answer in scientific notation.
0.03 gallons = 3 × 10^-2 gallons
Therefore, the answer is 3×10^-2 gallons.