https://file.aiquickdraw.com/mathbot/file/1727452730831o2fxx0cu.jpg

Let's work through the problem shown in the image:

### Part a)
**Estimate \( 243 \times 76 \) by calculating \( 200 \times 80 \):**

First, let's calculate the estimate:
\[
200 \times 80 = 16000
\]
So, the estimate is **16,000**.

---

### Part b)
**Work out the exact value of \( 243 \times 76 \):**

Now, let's calculate the exact value:
\[
243 \times 76 = 18468
\]
So, the exact value is **18,468**.

---

### Comparison
Comparing the estimate from part (a) and the exact value from part (b):
- Estimate: **16,000**
- Exact value: **18,468**

The estimate is **2,468** less than the exact value. The estimate gives a good approximation, but it's somewhat lower than the actual value.

---

Would you like further details on the calculations or explanation? 

Here are 5 related questions:
1. What are the pros and cons of estimating before calculating the exact value?
2. How would the estimate change if you rounded 243 to 250 and 76 to 75?
3. Can you find another pair of numbers that give a closer estimate than 200 and 80?
4. How does the difference between the estimate and exact value change if the numbers are larger?
5. How would this estimation technique work with decimal numbers?

**Tip:** Estimating with rounded numbers can help you quickly gauge if your exact answer is reasonable without doing all the calculations.

Estimate 243 × 76 by calculating 200 × 80. Then work out the exact value of 243 × 76 and compare the results.

Learn how to estimate and calculate the exact value of 243 × 76. This problem involves multiplying and comparing an estimate (200 × 80) with the exact product, suitable for Grades 5-7 students.

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