Let's break down the problem step by step.
Problem Analysis:
The Fram family has a total of 8.2 acres of land and wants to divide it into 4 equal sections. Therefore, we will use division to determine how many acres each section will have.
Choose the Appropriate Operation:
Since we want to divide the total amount of land (8.2 acres) by the number of sections (4), we will perform the division operation:
\[ \text{Each section} = \frac{\text{Total acres}}{\text{Number of sections}} \] \[ \text{Each section} = 8.2 \div 4 \]
Solve the Problem:
Now we will perform the division:
-
We can rewrite 8.2 as 8.20 for easier calculation.
-
We set up the division:
\[ 4 ) 8.20 \]
- 4 goes into 8 two times (4 × 2 = 8), so we write 2 below 8.
- Subtract 8 from 8, which gives 0. Bring down the next digit (2), making it 02.
- 4 goes into 2 zero times, so we write 0 next.
- Bring down the next digit (0), making it 20.
- 4 goes into 20 five times (4 × 5 = 20), so we write 5 next.
So, the result of the division is:
\[ 8.20 \div 4 = 2.05 \]
Check the Solution by Estimation:
We can estimate by rounding 8.2 to the nearest whole number, which is 8.
Now let's check:
\[ 8 \div 4 = 2 \]
Since our calculated answer (2.05) is very close to our estimation, we can confidently say that the answer appears reasonable.
Conclusion:
Each section of land will have:
\[ \text{Each section} = 2.05 \text{ acres} \]
This completes the solution!