Multiply 3-Digit and 1-Digit Numbers: Vertical Multiplication ... - Free Printable

The task involves multiplying 3-digit numbers by 1-digit numbers. Below, I will solve each multiplication problem step by step.

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Problem 1: \( 381 \times 3 \)

1. Multiply the ones place: \( 1 \times 3 = 3 \)
2. Multiply the tens place: \( 8 \times 3 = 24 \). Write down 4 and carry over 2.
3. Multiply the hundreds place: \( 3 \times 3 = 9 \), then add the carried-over 2: \( 9 + 2 = 11 \).

Result: \( 381 \times 3 = 1143 \)

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Problem 2: \( 303 \times 5 \)

1. Multiply the ones place: \( 3 \times 5 = 15 \). Write down 5 and carry over 1.
2. Multiply the tens place: \( 0 \times 5 = 0 \), then add the carried-over 1: \( 0 + 1 = 1 \).
3. Multiply the hundreds place: \( 3 \times 5 = 15 \).

Result: \( 303 \times 5 = 1515 \)

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Problem 3: \( 351 \times 2 \)

1. Multiply the ones place: \( 1 \times 2 = 2 \)
2. Multiply the tens place: \( 5 \times 2 = 10 \). Write down 0 and carry over 1.
3. Multiply the hundreds place: \( 3 \times 2 = 6 \), then add the carried-over 1: \( 6 + 1 = 7 \).

Result: \( 351 \times 2 = 702 \)

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Problem 4: \( 109 \times 4 \)

1. Multiply the ones place: \( 9 \times 4 = 36 \). Write down 6 and carry over 3.
2. Multiply the tens place: \( 0 \times 4 = 0 \), then add the carried-over 3: \( 0 + 3 = 3 \).
3. Multiply the hundreds place: \( 1 \times 4 = 4 \).

Result: \( 109 \times 4 = 436 \)

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Problem 5: \( 337 \times 6 \)

1. Multiply the ones place: \( 7 \times 6 = 42 \). Write down 2 and carry over 4.
2. Multiply the tens place: \( 3 \times 6 = 18 \), then add the carried-over 4: \( 18 + 4 = 22 \). Write down 2 and carry over 2.
3. Multiply the hundreds place: \( 3 \times 6 = 18 \), then add the carried-over 2: \( 18 + 2 = 20 \).

Result: \( 337 \times 6 = 2022 \)

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Problem 6: \( 540 \times 9 \)

1. Multiply the ones place: \( 0 \times 9 = 0 \)
2. Multiply the tens place: \( 4 \times 9 = 36 \). Write down 6 and carry over 3.
3. Multiply the hundreds place: \( 5 \times 9 = 45 \), then add the carried-over 3: \( 45 + 3 = 48 \).

Result: \( 540 \times 9 = 4860 \)

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Problem 7: \( 181 \times 7 \)

1. Multiply the ones place: \( 1 \times 7 = 7 \)
2. Multiply the tens place: \( 8 \times 7 = 56 \). Write down 6 and carry over 5.
3. Multiply the hundreds place: \( 1 \times 7 = 7 \), then add the carried-over 5: \( 7 + 5 = 12 \).

Result: \( 181 \times 7 = 1267 \)

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Problem 8: \( 254 \times 8 \)

1. Multiply the ones place: \( 4 \times 8 = 32 \). Write down 2 and carry over 3.
2. Multiply the tens place: \( 5 \times 8 = 40 \), then add the carried-over 3: \( 40 + 3 = 43 \). Write down 3 and carry over 4.
3. Multiply the hundreds place: \( 2 \times 8 = 16 \), then add the carried-over 4: \( 16 + 4 = 20 \).

Result: \( 254 \times 8 = 2032 \)

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Problem 9: \( 620 \times 2 \)

1. Multiply the ones place: \( 0 \times 2 = 0 \)
2. Multiply the tens place: \( 2 \times 2 = 4 \)
3. Multiply the hundreds place: \( 6 \times 2 = 12 \)

Result: \( 620 \times 2 = 1240 \)

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Problem 10: \( 647 \times 5 \)

1. Multiply the ones place: \( 7 \times 5 = 35 \). Write down 5 and carry over 3.
2. Multiply the tens place: \( 4 \times 5 = 20 \), then add the carried-over 3: \( 20 + 3 = 23 \). Write down 3 and carry over 2.
3. Multiply the hundreds place: \( 6 \times 5 = 30 \), then add the carried-over 2: \( 30 + 2 = 32 \).

Result: \( 647 \times 5 = 3235 \)

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Problem 11: \( 589 \times 4 \)

1. Multiply the ones place: \( 9 \times 4 = 36 \). Write down 6 and carry over 3.
2. Multiply the tens place: \( 8 \times 4 = 32 \), then add the carried-over 3: \( 32 + 3 = 35 \). Write down 5 and carry over 3.
3. Multiply the hundreds place: \( 5 \times 4 = 20 \), then add the carried-over 3: \( 20 + 3 = 23 \).

Result: \( 589 \times 4 = 2356 \)

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Problem 12: \( 729 \times 3 \)

1. Multiply the ones place: \( 9 \times 3 = 27 \). Write down 7 and carry over 2.
2. Multiply the tens place: \( 2 \times 3 = 6 \), then add the carried-over 2: \( 6 + 2 = 8 \).
3. Multiply the hundreds place: \( 7 \times 3 = 21 \).

Result: \( 729 \times 3 = 2187 \)

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Problem 13: \( 677 \times 8 \)

1. Multiply the ones place: \( 7 \times 8 = 56 \). Write down 6 and carry over 5.
2. Multiply the tens place: \( 7 \times 8 = 56 \), then add the carried-over 5: \( 56 + 5 = 61 \). Write down 1 and carry over 6.
3. Multiply the hundreds place: \( 6 \times 8 = 48 \), then add the carried-over 6: \( 48 + 6 = 54 \).

Result: \( 677 \times 8 = 5416 \)

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Problem 14: \( 798 \times 6 \)

1. Multiply the ones place: \( 8 \times 6 = 48 \). Write down 8 and carry over 4.
2. Multiply the tens place: \( 9 \times 6 = 54 \), then add the carried-over 4: \( 54 + 4 = 58 \). Write down 8 and carry over 5.
3. Multiply the hundreds place: \( 7 \times 6 = 42 \), then add the carried-over 5: \( 42 + 5 = 47 \).

Result: \( 798 \times 6 = 4788 \)

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Problem 15: \( 597 \times 7 \)

1. Multiply the ones place: \( 7 \times 7 = 49 \). Write down 9 and carry over 4.
2. Multiply the tens place: \( 9 \times 7 = 63 \), then add the carried-over 4: \( 63 + 4 = 67 \). Write down 7 and carry over 6.
3. Multiply the hundreds place: \( 5 \times 7 = 35 \), then add the carried-over 6: \( 35 + 6 = 41 \).

Result: \( 597 \times 7 = 4179 \)

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Problem 16: \( 709 \times 9 \)

1. Multiply the ones place: \( 9 \times 9 = 81 \). Write down 1 and carry over 8.
2. Multiply the tens place: \( 0 \times 9 = 0 \), then add the carried-over 8: \( 0 + 8 = 8 \).
3. Multiply the hundreds place: \( 7 \times 9 = 63 \).

Result: \( 709 \times 9 = 6381 \)

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Final Answers:

\[
\boxed{
\begin{array}{cccc}
1143 & 1515 & 702 & 436 \\
2022 & 4860 & 1267 & 2032 \\
1240 & 3235 & 2356 & 2187 \\
5416 & 4788 & 4179 & 6381 \\
\end{array}
}
\]