Solomon needs to distribute 10.5 gallons of perfume among 3.5×10^2 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, we divide the total amount of perfume by the total number of containers:
10.5 gallons / (3.5 × 10^2 containers)
Simplifying the expression, we divide 10.5 by 3.5:
= 3 gallons / 10^2 containers
Since "10^2" means 10 multiplied by itself two times (10 * 10 = 100), we have:
= 3 gallons / 100 containers
Thus, each container will have 0.03 gallons of perfume.
Writing the answer in scientific notation:
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 divide the total amount of perfume by the number of containers.
10.5 gallons ÷ (3.5 × 10^2) containers
To divide by 3.5 × 10^2, we can divide by 3.5 and then multiply by 10^2.
10.5 gallons ÷ 3.5 = 3 gallons
Now, multiplying by 10^2 means moving the decimal point two places to the right.
3 gallons = 3.00 gallons = 3.00 × 10^0 gallons
Since 10^0 equals 1, we have:
3.00 × 10^0 gallons = 3.00 gallons
Therefore, each container will have 3.00 gallons (or 3 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 10.5 gallons, and the number of containers is 3.5 × 10^2.
To divide the two numbers, we can convert 3.5 × 10^2 to standard notation:
3.5 × 10^2 = 3.5 × 100 = 350
So, we now have 10.5 gallons divided by 350 containers.
To calculate this, we divide 10.5 by 350:
10.5 / 350 = 0.03
Therefore, each container will have 0.03 gallons of perfume.
Now, let's write the answer in scientific notation. Since 0.03 is a small number, we can express it in scientific notation by moving the decimal point two places to the right:
0.03 = 3 × 10^(-2)
So, each container will have 3 × 10^(-2) gallons of perfume.