To solve the multiplication problem \( 345 \times 21 \) using the traditional or rectangular method, you can follow these steps:
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Setting up the problem: Write the numbers in a column, with \( 345 \) on top and \( 21 \) below it.
345 x 21
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Multiply the bottom number (1) by the top number (345):
- \( 1 \times 345 = 345 \)
Write this result below the line.
345 x 21 ----- 345 (This is 345 * 1)
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Multiply the bottom number (2) by the top number (345), but remember that this 2 is in the tens place (which is actually \( 20 \)):
- \( 2 \times 345 = 690 \)
- Since you are multiplying by 20, you add a zero to this result:
345 x 21 ----- 345 (This is 345 * 1) +6900 (This is 345 * 20, i.e., 690 with one zero)
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Add the results together:
345 +6900 ----- 7245
So, \( 345 \times 21 = 7245 \).