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Review \& Refresh Find the product. Check whether your answer is reasonable. \begin{tabular}{ll|l} 12. \( 354 \times 781 \) & 13. \( 4,029 \cdot 276 \) & 14. \( 950 \times 326 \)\end{tabular}

Ask by Pritchard Hodgson. in the United States
Jan 24,2025

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Tutor-Verified Answer

Answer

**12. \( 354 \times 781 = 276{,}474 \)** **13. \( 4{,}029 \times 276 = 1{,}112{,}004 \)** **14. \( 950 \times 326 = 309{,}700 \)**

Solution

Claro, aquí están los productos calculados junto con una verificación de su razonabilidad: **12. \( 354 \times 781 = 276{,}474 \)** *Verificación:* - **Estimación:** \( 350 \times 800 = 280{,}000 \) - **Resultado Real:** \( 276{,}474 \) está cerca de la estimación, lo que indica que el cálculo es razonable. --- **13. \( 4{,}029 \times 276 = 1{,}112{,}004 \)** *Verificación:* - **Estimación:** \( 4{,}000 \times 300 = 1{,}200{,}000 \) - **Resultado Real:** \( 1{,}112{,}004 \) está ligeramente por debajo de la estimación, lo que sugiere que el cálculo es correcto. --- **14. \( 950 \times 326 = 309{,}700 \)** *Verificación:* - **Estimación:** \( 1{,}000 \times 300 = 300{,}000 \) - **Resultado Real:** \( 309{,}700 \) está cerca de la estimación, lo que confirma la razonabilidad del resultado. ---

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Bonus Knowledge

To tackle these multiplication problems, let's first break each down. For \( 354 \times 781 \): A good estimate would be rounding to \( 350 \times 780 \), which equals \( 273,000 \). The exact product is \( 276,834 \), which is reasonable as it aligns closely with our estimate. Next, for \( 4,029 \cdot 276 \): Rounding to \( 4,000 \times 300 \) gives us \( 1,200,000 \). The exact answer is \( 1,111,984 \), a tad less than our estimate, but reasonable given the rounding choices. Lastly, for \( 950 \times 326 \): Rounding to \( 1,000 \times 300 \) yields \( 300,000 \). The exact product is \( 309,700 \), which is again reasonable as it stays in line with our estimate. Happy calculating!

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