Question
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Round \( 1567 \cdot 32007235 \) to the nearest thousand.

Ask by Warner Fernandez. in the United States
Feb 07,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The product \( 1,567 \times 32,007,235 \) is approximately **50,155,337,000** when rounded to the nearest thousand.

Solution

To round \( 1,567 \times 32,007,235 \) to the nearest thousand, follow these steps: 1. **Calculate the Product:** \[ 1,567 \times 32,007,235 = 50,155,337,245 \] 2. **Identify the Thousands Place:** Look at the last three digits of the product: **245**. 3. **Determine Rounding:** - If the last three digits are **500** or more, round up. - If they are less than **500**, round down. Since **245 < 500**, we round down. 4. **Round to the Nearest Thousand:** \[ 50,155,337,245 \approx 50,155,337,000 \] **Final Answer:** \(\boxed{50,\!155,\!337,\!000}\)

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Simplify this solution

Beyond the Answer

First, we need to multiply \( 1567 \) and \( 32007235 \). This gives us \( 50,196,076,645 \). To round \( 50,196,076,645 \) to the nearest thousand, we look at the last three digits, which are \( 645 \). Since \( 645 \) is greater than \( 500 \), we round up. Thus, \( 50,196,076,645 \) rounded to the nearest thousand is \( 50,196,077,000 \).

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