Is 300 a reasonable estimate for $$ 726-192 ? $$ Why or Why not?

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UpStudy AI · Accepted Answer

No, **300 is not a reasonable estimate** for the calculation $$ 726 - 192 $$. Here's why:

### Understanding the Actual Calculation

First, let's find the exact difference:

$$ 726 - 192 = 534 $$

So, the correct answer is **534**.

### Evaluating the Estimate of 300

To determine if 300 is a reasonable estimate, consider the following:

1. **Rounding for Estimation**:
   - **726** can be rounded to **700** (to the nearest hundred).
   - **192** can be rounded to **200** (to the nearest hundred).

2. **Estimated Calculation**:
   $$ 700 - 200 = 500 $$

- The estimated result is **500**, which is much closer to the actual answer of **534**.

3. **Comparing 300 to the Actual Answer**:
   - The estimate of **300** is **234** units away from the actual result (**534**).
   - In contrast, an estimate of **500** is only **34** units away from the actual result.

### Conclusion

An estimate should be **close** to the actual value to be useful. In this case:

- **500** is a reasonable and closer estimate for $$ 726 - 192 $$.
- **300** is too far off and does not accurately reflect the difference between **726** and **192**.

Therefore, using **300** as an estimate for $$ 726 - 192 $$ is **not reasonable**.
300 is not a reasonable estimate for $$ 726 - 192 $$ because the actual difference is 534, and 300 is too far from the correct answer.

Is 300 a reasonable estimate for \( 726-192 ? \) Why or Why not?

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