Fill in the blanks!

Question

Dividing with Decimals
The Fram family decided to plant carrots on one section of land. If they paid $467.25 for 17.8 pounds of carrot seeds, what is the price per pound?

- Read and analyze the problem.
- Choose the appropriate operation.
In this case, that operation is going to be _, and we know that because we're asked to calculate a unit rate, or price per _.
- Solve the problem.

Multiply both values by 10 to get rid of the decimal in the divisor.
17.8 x 10 = _
467.25 x 10 = _

Estimate to check the solution.
The price of carrot seeds is $_ per pound.

Answer 1

Let's fill in the blanks step by step.

1. Read and analyze the problem.

   • The Fram family paid $467.25 for 17.8 pounds of carrot seeds. We want to find out how much they paid per pound.

2. Choose the appropriate operation.

   • In this case, that operation is going to be division, and we know that because we're asked to calculate a unit rate, or price per pound.

3. Solve the problem.

   • To find the price per pound, we need to divide the total cost by the total pounds: \[ \text{Price per pound} = \frac{467.25}{17.8} \]

   Now we can eliminate the decimal in the divisor for easier calculation: \[ 17.8 \times 10 = 178 \] \[ 467.25 \times 10 = 4672.5 \]

   Now, we calculate: \[ \text{Price per pound} = \frac{4672.5}{178} \] Performing the division: \[ 4672.5 ÷ 178 ≈ 26.25 \]

4. Estimate to check the solution.

   • The price of carrot seeds is $26.25 per pound.

So, the complete answer filled in is:

• In this case, that operation is going to be division, and we know that because we're asked to calculate a unit rate, or price per pound.
• Multiply both values by 10 to get rid of the decimal in the divisor.
  • 17.8 x 10 = 178
  • 467.25 x 10 = 4672.5
• The price of carrot seeds is $26.25 per pound.