https://file.aiquickdraw.com/mathbot/file/172782239779114ws9zhv.jpg

The problem shows that Teri is using place value to find the product of \(296 \times 7\). Let’s break down her approach step-by-step and evaluate whether her answer is reasonable.

Teri seems to be using place value to break down \(296\) into:
- \(200\),
- \(90\), and
- \(6\).

She then multiplies each part by \(7\):
1. \(200 \times 7 = 1,400\),
2. \(90 \times 7 = 630\),
3. \(6 \times 7 = 42\).

Now, she adds these values:
\[
1,400 + 630 + 42 = 2,072.
\]

However, her final answer is listed as **1,072**, which is incorrect.

The correct answer should be **2,072**, not **1,072**. It seems Teri made an error when writing down the final sum.

### Conclusion:
Teri's method is reasonable, but her answer is incorrect due to an error in adding the partial products.

Would you like more details or have any further questions?

---

Here are 5 related questions for practice:
1. What is the place value method, and why is it useful for multiplication?
2. Can you use place value to multiply \(346 \times 8\)?
3. How would you correct Teri's mistake in this problem?
4. Why is breaking numbers down by place value helpful when multiplying larger numbers?
5. Could you solve \(485 \times 6\) using a similar approach?

**Tip:** Always double-check your final sum after breaking down a multiplication problem using place value to avoid errors!

Teri used place value to find the product below. Is Teri's answer reasonable? Explain.

Learn how to multiply 296 by 7 using place value and check if the final answer is reasonable. This problem demonstrates how breaking down a number by place value leads to partial products and their sum. Suitable for Grades 3-5.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation