Question
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\begin{tabular}{l} 3. Calculate. \\ a. 14815 \\ \( \times \quad 38 \) \\ \hline\end{tabular}

Ask by Wade Collins. in South Africa
Jan 26,2025

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Answer

\( 14,\!815 \times 38 = 562,\!970 \)

Solution

Certainly! Let's calculate \( 14,\!815 \times 38 \) step by step using the standard multiplication method. \[ \begin{array}{r} \phantom{0}14,\!815 \\ \times \phantom{0}38 \\ \hline \phantom{0}118,\!520 \quad \text{(This is } 14,\!815 \times 8\text{)} \\ +444,\!450 \quad \text{(This is } 14,\!815 \times 30\text{)} \\ \hline \underline{562,\!970} \\ \end{array} \] **Detailed Steps:** 1. **Multiply by the Ones Place (8):** \[ 14,\!815 \times 8 = 118,\!520 \] 2. **Multiply by the Tens Place (30):** \[ 14,\!815 \times 30 = 444,\!450 \] *(Note: 30 is \( 3 \times 10 \), so you can multiply by 3 and then add a zero at the end.)* 3. **Add the Two Results:** \[ 118,\!520 + 444,\!450 = 562,\!970 \] **Final Answer:** \[ 14,\!815 \times 38 = 562,\!970 \]

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Bonus Knowledge

To compute \( 14815 \times 38 \), you can break it down. First, multiply \( 14815 \) by \( 30 \) (which is \( 38 \) minus \( 8 \)), giving you \( 444450 \). Next, multiply \( 14815 \) by \( 8 \), which equals \( 118520 \). Lastly, add the two results: \( 444450 + 118520 = 562970 \). Therefore, \( 14815 \times 38 = 562970 \). If you want to embrace multiplication magic in the real world, consider how scaling numbers can help in budgeting or cooking! For instance, if you’re doubling a recipe that requires 14815 units of a certain ingredient by 38 servings, knowing how to calculate that efficiently can save you time and help avoid ingredient overflow.

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