Three-Digit by One-Digit Multiplication Practice Worksheet (A)

Problem Description:

The task involves solving a series of three-digit by one-digit multiplication problems. Each problem is structured as a three-digit number multiplied by a single-digit number. The goal is to compute the product for each multiplication.

Solution Approach:

We will solve each multiplication problem step by step, ensuring clarity and accuracy. The general method for multiplying a three-digit number by a one-digit number involves:
1. Multiplying the one-digit number by each digit of the three-digit number (starting from the rightmost digit).
2. Carrying over any values greater than 9 to the next higher place value.
3. Summing up the results to get the final product.

Let's solve each problem systematically.

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Row 1:

1. 276 × 6
- \( 6 \times 6 = 36 \) → Write 6, carry 3.
- \( 6 \times 7 + 3 = 45 \) → Write 5, carry 4.
- \( 6 \times 2 + 4 = 16 \) → Write 16.
- Result: 1656

2. 471 × 9
- \( 9 \times 1 = 9 \) → Write 9.
- \( 9 \times 7 = 63 \) → Write 3, carry 6.
- \( 9 \times 4 + 6 = 42 \) → Write 42.
- Result: 4239

3. 763 × 8
- \( 8 \times 3 = 24 \) → Write 4, carry 2.
- \( 8 \times 6 + 2 = 50 \) → Write 0, carry 5.
- \( 8 \times 7 + 5 = 61 \) → Write 61.
- Result: 6104

4. 766 × 3
- \( 3 \times 6 = 18 \) → Write 8, carry 1.
- \( 3 \times 6 + 1 = 19 \) → Write 9, carry 1.
- \( 3 \times 7 + 1 = 22 \) → Write 22.
- Result: 2298

5. 641 × 2
- \( 2 \times 1 = 2 \) → Write 2.
- \( 2 \times 4 = 8 \) → Write 8.
- \( 2 \times 6 = 12 \) → Write 12.
- Result: 1282

6. 548 × 8
- \( 8 \times 8 = 64 \) → Write 4, carry 6.
- \( 8 \times 4 + 6 = 38 \) → Write 8, carry 3.
- \( 8 \times 5 + 3 = 43 \) → Write 43.
- Result: 4384

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Row 2:

1. 695 × 1
- \( 1 \times 5 = 5 \)
- \( 1 \times 9 = 9 \)
- \( 1 \times 6 = 6 \)
- Result: 695

2. 823 × 4
- \( 4 \times 3 = 12 \) → Write 2, carry 1.
- \( 4 \times 2 + 1 = 9 \) → Write 9.
- \( 4 \times 8 = 32 \) → Write 32.
- Result: 3292

3. 250 × 5
- \( 5 \times 0 = 0 \)
- \( 5 \times 5 = 25 \) → Write 5, carry 2.
- \( 5 \times 2 + 2 = 12 \) → Write 12.
- Result: 1250

4. 737 × 2
- \( 2 \times 7 = 14 \) → Write 4, carry 1.
- \( 2 \times 3 + 1 = 7 \) → Write 7.
- \( 2 \times 7 = 14 \) → Write 14.
- Result: 1474

5. 720 × 4
- \( 4 \times 0 = 0 \)
- \( 4 \times 2 = 8 \)
- \( 4 \times 7 = 28 \) → Write 28.
- Result: 2880

6. 955 × 6
- \( 6 \times 5 = 30 \) → Write 0, carry 3.
- \( 6 \times 5 + 3 = 33 \) → Write 3, carry 3.
- \( 6 \times 9 + 3 = 57 \) → Write 57.
- Result: 5730

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Row 3:

1. 558 × 3
- \( 3 \times 8 = 24 \) → Write 4, carry 2.
- \( 3 \times 5 + 2 = 17 \) → Write 7, carry 1.
- \( 3 \times 5 + 1 = 16 \) → Write 16.
- Result: 1674

2. 264 × 4
- \( 4 \times 4 = 16 \) → Write 6, carry 1.
- \( 4 \times 6 + 1 = 25 \) → Write 5, carry 2.
- \( 4 \times 2 + 2 = 10 \) → Write 10.
- Result: 1056

3. 686 × 7
- \( 7 \times 6 = 42 \) → Write 2, carry 4.
- \( 7 \times 8 + 4 = 60 \) → Write 0, carry 6.
- \( 7 \times 6 + 6 = 48 \) → Write 48.
- Result: 4802

4. 331 × 9
- \( 9 \times 1 = 9 \)
- \( 9 \times 3 = 27 \) → Write 7, carry 2.
- \( 9 \times 3 + 2 = 29 \) → Write 29.
- Result: 2979

5. 522 × 3
- \( 3 \times 2 = 6 \)
- \( 3 \times 2 = 6 \)
- \( 3 \times 5 = 15 \) → Write 15.
- Result: 1566

6. 140 × 3
- \( 3 \times 0 = 0 \)
- \( 3 \times 4 = 12 \) → Write 2, carry 1.
- \( 3 \times 1 + 1 = 4 \) → Write 4.
- Result: 420

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Row 4:

1. 587 × 2
- \( 2 \times 7 = 14 \) → Write 4, carry 1.
- \( 2 \times 8 + 1 = 17 \) → Write 7, carry 1.
- \( 2 \times 5 + 1 = 11 \) → Write 11.
- Result: 1174

2. 788 × 3
- \( 3 \times 8 = 24 \) → Write 4, carry 2.
- \( 3 \times 8 + 2 = 26 \) → Write 6, carry 2.
- \( 3 \times 7 + 2 = 23 \) → Write 23.
- Result: 2364

3. 243 × 1
- \( 1 \times 3 = 3 \)
- \( 1 \times 4 = 4 \)
- \( 1 \times 2 = 2 \)
- Result: 243

4. 200 × 8
- \( 8 \times 0 = 0 \)
- \( 8 \times 0 = 0 \)
- \( 8 \times 2 = 16 \) → Write 16.
- Result: 1600

5. 422 × 8
- \( 8 \times 2 = 16 \) → Write 6, carry 1.
- \( 8 \times 2 + 1 = 17 \) → Write 7, carry 1.
- \( 8 \times 4 + 1 = 33 \) → Write 33.
- Result: 3376

6. 344 × 2
- \( 2 \times 4 = 8 \)
- \( 2 \times 4 = 8 \)
- \( 2 \times 3 = 6 \)
- Result: 688

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Row 5:

1. 929 × 6
- \( 6 \times 9 = 54 \) → Write 4, carry 5.
- \( 6 \times 2 + 5 = 17 \) → Write 7, carry 1.
- \( 6 \times 9 + 1 = 55 \) → Write 55.
- Result: 5574

2. 244 × 3
- \( 3 \times 4 = 12 \) → Write 2, carry 1.
- \( 3 \times 4 + 1 = 13 \) → Write 3, carry 1.
- \( 3 \times 2 + 1 = 7 \) → Write 7.
- Result: 732

3. 145 × 5
- \( 5 \times 5 = 25 \) → Write 5, carry 2.
- \( 5 \times 4 + 2 = 22 \) → Write 2, carry 2.
- \( 5 \times 1 + 2 = 7 \) → Write 7.
- Result: 725

4. 208 × 5
- \( 5 \times 8 = 40 \) → Write 0, carry 4.
- \( 5 \times 0 + 4 = 4 \) → Write 4.
- \( 5 \times 2 = 10 \) → Write 10.
- Result: 1040

5. 571 × 4
- \( 4 \times 1 = 4 \)
- \( 4 \times 7 = 28 \) → Write 8, carry 2.
- \( 4 \times 5 + 2 = 22 \) → Write 22.
- Result: 2284

6. 528 × 7
- \( 7 \times 8 = 56 \) → Write 6, carry 5.
- \( 7 \times 2 + 5 = 19 \) → Write 9, carry 1.
- \( 7 \times 5 + 1 = 36 \) → Write 36.
- Result: 3696

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Row 6:

1. 513 × 6
- \( 6 \times 3 = 18 \) → Write 8, carry 1.
- \( 6 \times 1 + 1 = 7 \) → Write 7.
- \( 6 \times 5 = 30 \) → Write 30.
- Result: 3078

2. 910 × 3
- \( 3 \times 0 = 0 \)
- \( 3 \times 1 = 3 \)
- \( 3 \times 9 = 27 \) → Write 27.
- Result: 2730

3. 434 × 5
- \( 5 \times 4 = 20 \) → Write 0, carry 2.
- \( 5 \times 3 + 2 = 17 \) → Write 7, carry 1.
- \( 5 \times 4 + 1 = 21 \) → Write 21.
- Result: 2170

4. 759 × 3
- \( 3 \times 9 = 27 \) → Write 7, carry 2.
- \( 3 \times 5 + 2 = 17 \) → Write 7, carry 1.
- \( 3 \times 7 + 1 = 22 \) → Write 22.
- Result: 2277

5. 412 × 1
- \( 1 \times 2 = 2 \)
- \( 1 \times 1 = 1 \)
- \( 1 \times 4 = 4 \)
- Result: 412

6. 850 × 6
- \( 6 \times 0 = 0 \)
- \( 6 \times 5 = 30 \) → Write 0, carry 3.
- \( 6 \times 8 + 3 = 51 \) → Write 51.
- Result: 5100

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Final Answer:

\[
\boxed{
\begin{array}{cccccc}
1656 & 4239 & 6104 & 2298 & 1282 & 4384 \\
695 & 3292 & 1250 & 1474 & 2880 & 5730 \\
1674 & 1056 & 4802 & 2979 & 1566 & 420 \\
1174 & 2364 & 243 & 1600 & 3376 & 688 \\
5574 & 732 & 725 & 1040 & 2284 & 3696 \\
3078 & 2730 & 2170 & 2277 & 412 & 5100 \\
\end{array}
}
\]