Multiplication worksheets - Multiply-Multiple of 3 digits with 3 - Free Printable
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Step-by-step solution for: Multiplication worksheets - Multiply-Multiple of 3 digits with 3
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication worksheets - Multiply-Multiple of 3 digits with 3
Problem Description:
The task involves solving a series of multiplication problems. Each problem consists of a number multiplied by another number. We need to compute the results for all the given multiplications.
Step-by-Step Solution:
#### Row 1:
1. 329 × 1
- Any number multiplied by 1 is the number itself.
- Result: \( 329 \)
2. 402 × 3
- Multiply each digit of 402 by 3:
- \( 4 \times 3 = 12 \)
- \( 0 \times 3 = 0 \)
- \( 2 \times 3 = 6 \)
- Combine the results: \( 1206 \)
- Result: \( 1206 \)
3. 653 × 2
- Multiply each digit of 653 by 2:
- \( 6 \times 2 = 12 \)
- \( 5 \times 2 = 10 \)
- \( 3 \times 2 = 6 \)
- Combine the results with proper carry-over:
- Start from the right: \( 6 \)
- Next: \( 10 + 1 (carry) = 11 \) → Write 1, carry 1
- Finally: \( 12 + 1 (carry) = 13 \)
- Result: \( 1306 \)
4. 241 × 5
- Multiply each digit of 241 by 5:
- \( 2 \times 5 = 10 \)
- \( 4 \times 5 = 20 \)
- \( 1 \times 5 = 5 \)
- Combine the results with proper carry-over:
- Start from the right: \( 5 \)
- Next: \( 20 \) → Write 0, carry 2
- Finally: \( 10 + 2 (carry) = 12 \)
- Result: \( 1205 \)
#### Row 2:
1. 612 × 4
- Multiply each digit of 612 by 4:
- \( 6 \times 4 = 24 \)
- \( 1 \times 4 = 4 \)
- \( 2 \times 4 = 8 \)
- Combine the results with proper carry-over:
- Start from the right: \( 8 \)
- Next: \( 4 \)
- Finally: \( 24 \)
- Result: \( 2448 \)
2. 579 × 8
- Multiply each digit of 579 by 8:
- \( 5 \times 8 = 40 \)
- \( 7 \times 8 = 56 \)
- \( 9 \times 8 = 72 \)
- Combine the results with proper carry-over:
- Start from the right: \( 2 \)
- Next: \( 56 + 7 (carry) = 63 \) → Write 3, carry 6
- Finally: \( 40 + 6 (carry) = 46 \)
- Result: \( 4632 \)
3. 735 × 7
- Multiply each digit of 735 by 7:
- \( 7 \times 7 = 49 \)
- \( 3 \times 7 = 21 \)
- \( 5 \times 7 = 35 \)
- Combine the results with proper carry-over:
- Start from the right: \( 5 \)
- Next: \( 21 + 3 (carry) = 24 \) → Write 4, carry 2
- Finally: \( 49 + 2 (carry) = 51 \)
- Result: \( 5145 \)
4. 296 × 9
- Multiply each digit of 296 by 9:
- \( 2 \times 9 = 18 \)
- \( 9 \times 9 = 81 \)
- \( 6 \times 9 = 54 \)
- Combine the results with proper carry-over:
- Start from the right: \( 4 \)
- Next: \( 81 + 5 (carry) = 86 \) → Write 6, carry 8
- Finally: \( 18 + 8 (carry) = 26 \)
- Result: \( 2664 \)
#### Row 3:
1. 184 × 3
- Multiply each digit of 184 by 3:
- \( 1 \times 3 = 3 \)
- \( 8 \times 3 = 24 \)
- \( 4 \times 3 = 12 \)
- Combine the results with proper carry-over:
- Start from the right: \( 2 \)
- Next: \( 24 + 1 (carry) = 25 \) → Write 5, carry 2
- Finally: \( 3 + 2 (carry) = 5 \)
- Result: \( 552 \)
2. 364 × 2
- Multiply each digit of 364 by 2:
- \( 3 \times 2 = 6 \)
- \( 6 \times 2 = 12 \)
- \( 4 \times 2 = 8 \)
- Combine the results with proper carry-over:
- Start from the right: \( 8 \)
- Next: \( 12 \) → Write 2, carry 1
- Finally: \( 6 + 1 (carry) = 7 \)
- Result: \( 728 \)
3. 875 × 6
- Multiply each digit of 875 by 6:
- \( 8 \times 6 = 48 \)
- \( 7 \times 6 = 42 \)
- \( 5 \times 6 = 30 \)
- Combine the results with proper carry-over:
- Start from the right: \( 0 \)
- Next: \( 42 + 3 (carry) = 45 \) → Write 5, carry 4
- Finally: \( 48 + 4 (carry) = 52 \)
- Result: \( 5250 \)
4. 286 × 7
- Multiply each digit of 286 by 7:
- \( 2 \times 7 = 14 \)
- \( 8 \times 7 = 56 \)
- \( 6 \times 7 = 42 \)
- Combine the results with proper carry-over:
- Start from the right: \( 2 \)
- Next: \( 56 + 4 (carry) = 60 \) → Write 0, carry 6
- Finally: \( 14 + 6 (carry) = 20 \)
- Result: \( 2002 \)
#### Row 4:
1. 592 × 5
- Multiply each digit of 592 by 5:
- \( 5 \times 5 = 25 \)
- \( 9 \times 5 = 45 \)
- \( 2 \times 5 = 10 \)
- Combine the results with proper carry-over:
- Start from the right: \( 0 \)
- Next: \( 45 + 1 (carry) = 46 \) → Write 6, carry 4
- Finally: \( 25 + 4 (carry) = 29 \)
- Result: \( 2960 \)
2. 967 × 4
- Multiply each digit of 967 by 4:
- \( 9 \times 4 = 36 \)
- \( 6 \times 4 = 24 \)
- \( 7 \times 4 = 28 \)
- Combine the results with proper carry-over:
- Start from the right: \( 8 \)
- Next: \( 24 + 2 (carry) = 26 \) → Write 6, carry 2
- Finally: \( 36 + 2 (carry) = 38 \)
- Result: \( 3868 \)
3. 738 × 8
- Multiply each digit of 738 by 8:
- \( 7 \times 8 = 56 \)
- \( 3 \times 8 = 24 \)
- \( 8 \times 8 = 64 \)
- Combine the results with proper carry-over:
- Start from the right: \( 4 \)
- Next: \( 24 + 6 (carry) = 30 \) → Write 0, carry 3
- Finally: \( 56 + 3 (carry) = 59 \)
- Result: \( 5904 \)
4. 437 × 9
- Multiply each digit of 437 by 9:
- \( 4 \times 9 = 36 \)
- \( 3 \times 9 = 27 \)
- \( 7 \times 9 = 63 \)
- Combine the results with proper carry-over:
- Start from the right: \( 3 \)
- Next: \( 27 + 6 (carry) = 33 \) → Write 3, carry 3
- Finally: \( 36 + 3 (carry) = 39 \)
- Result: \( 3933 \)
Final Results:
\[
\begin{array}{cccc}
329 \times 1 = 329 & 402 \times 3 = 1206 & 653 \times 2 = 1306 & 241 \times 5 = 1205 \\
612 \times 4 = 2448 & 579 \times 8 = 4632 & 735 \times 7 = 5145 & 296 \times 9 = 2664 \\
184 \times 3 = 552 & 364 \times 2 = 728 & 875 \times 6 = 5250 & 286 \times 7 = 2002 \\
592 \times 5 = 2960 & 967 \times 4 = 3868 & 738 \times 8 = 5904 & 437 \times 9 = 3933 \\
\end{array}
\]
Final Answer:
\[
\boxed{
\begin{array}{cccc}
329 & 1206 & 1306 & 1205 \\
2448 & 4632 & 5145 & 2664 \\
552 & 728 & 5250 & 2002 \\
2960 & 3868 & 5904 & 3933 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3 digit multiplication worksheets.