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\( \begin{array}{r}\text { (3) } 367 \\ \times 46 \\ \hline+2202\end{array} \)

Ask by Carter Warner. in South Africa
Jan 20,2025

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Answer

\( 367 \times 46 = 16882 \)

Solution

To solve the multiplication \( 367 \times 46 \) step by step, we can break it down as follows: 1. **Multiply 367 by 6 (the units digit of 46):** \[ 367 \times 6 = 2202 \] 2. **Multiply 367 by 4 (the tens digit of 46), remembering that this is actually \( 40 \):** \[ 367 \times 4 = 1468 \] Since this is the tens place, we need to add a zero to the end: \[ 367 \times 40 = 14680 \] 3. **Add the two results together:** \[ 2202 + 14680 = 16882 \] Thus, the final result of \( 367 \times 46 \) is \( 16882 \).

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Extra Insights

Did you know that the process of multiplication has been used for thousands of years? Ancient mathematicians utilized various methods, including the lattice method and the area model, long before calculators came about. They took pride in their ability to perform calculations by hand, developing fascinating techniques that paved the way for modern arithmetic! When tackling multiplication, a common pitfall is forgetting to align numbers correctly, especially with multi-digit figures. Always line up your digits according to their place values, from right to left. Also, make sure to carry any extra values over to the next column when necessary. This simple practice can save you from unexpected errors, keeping your calculations accurate!

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