Question

Solving Real-World Decimal Problems
The Fram family plants vegetables on 8.2 acres of land. They want to divide the land into 4 equal sections to grow different types of vegetables. How many acres will be in each section?
and analyze the problem.
• Choose the appropriate
We are dividing the land into equal sections, so we need division.
8.2 ÷
• Solve the problem.
4) 8.20
-8.0,
0.20
-0.20
• Estimate to check the solution.
8 ÷ 4 =
Each section of land will have 2.05

Answer 1

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:

1. We can rewrite 8.2 as 8.20 for easier calculation.
2. 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!