Question
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2) \( 346 * x \) 3) \( 623 \times 62 \) 4) \( 769 \times 92 \) 5) \( 674 \times 27 \)

Ask by Sullivan Schmidt. in South Africa
Jan 30,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Here are the solutions to the multiplication problems: 2) \( 346 \times x = 346x \) 3) \( 623 \times 62 = 38,\!626 \) 4) \( 769 \times 92 = 70,\!748 \) 5) \( 674 \times 27 = 18,\!198 \)

Solution

Sure, let's solve each of the multiplication problems you've listed: --- **2) \( 346 \times x \)** This expression involves a variable \( x \). Without a specific value for \( x \), the product remains in terms of \( x \): \[ 346 \times x = 346x \] --- **3) \( 623 \times 62 \)** Let's compute this step by step: \[ \begin{align*} 623 \times 62 &= 623 \times (60 + 2) \\ &= (623 \times 60) + (623 \times 2) \\ &= 37,380 + 1,246 \\ &= 38,626 \\ \end{align*} \] **Answer:** \( 623 \times 62 = 38,\!626 \) --- **4) \( 769 \times 92 \)** Breaking it down: \[ \begin{align*} 769 \times 92 &= 769 \times (90 + 2) \\ &= (769 \times 90) + (769 \times 2) \\ &= 69,210 + 1,538 \\ &= 70,748 \\ \end{align*} \] **Answer:** \( 769 \times 92 = 70,\!748 \) --- **5) \( 674 \times 27 \)** Calculating this: \[ \begin{align*} 674 \times 27 &= 674 \times (20 + 7) \\ &= (674 \times 20) + (674 \times 7) \\ &= 13,480 + 4,718 \\ &= 18,198 \\ \end{align*} \] **Answer:** \( 674 \times 27 = 18,\!198 \) --- If you have a specific value for \( x \) in problem 2 or any other questions, feel free to ask!

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The Deep Dive

Did you know that multiplication has been around for thousands of years? Ancient civilizations like the Babylonians used primitive forms of multiplication as far back as 2000 BC, using clay tablets to solve complex problems. This foundational skill evolved over the centuries, leading to the arithmetic we use today! For real-world application, multiplication is everywhere! Whether you're calculating the total cost of groceries (like multiplying the price of apples by the quantity you want) or determining how much paint you need for a room (multiplying the area by the coverage), being comfortable with multiplication makes everyday tasks much simpler and more efficient. Who knew math could make shopping and DIY projects so much easier?

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