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

1 answer

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!