Multiplication Charts (PDF): Free Printable Times Tables - DIY ... - Free Printable
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Step-by-step solution for: Multiplication Charts (PDF): Free Printable Times Tables - DIY ...
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication Charts (PDF): Free Printable Times Tables - DIY ...
Problem Description:
The image shows a multiplication worksheet with 10 columns labeled "ONE" through "TEN." Each column contains multiplication problems from \(1 \times 1\) to \(10 \times 10\). The task is to solve all the multiplication problems and provide the answers.
Solution Approach:
We will solve each multiplication problem step by step. The general formula for multiplication is:
\[ a \times b = \text{product} \]
We will compute each product systematically for all rows and columns.
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Step-by-Step Solution:
#### Column ONE (1 × ?)
1. \(1 \times 1 = 1\)
2. \(1 \times 2 = 2\)
3. \(1 \times 3 = 3\)
4. \(1 \times 4 = 4\)
5. \(1 \times 5 = 5\)
6. \(1 \times 6 = 6\)
7. \(1 \times 7 = 7\)
8. \(1 \times 8 = 8\)
9. \(1 \times 9 = 9\)
10. \(1 \times 10 = 10\)
#### Column TWO (2 × ?)
1. \(2 \times 1 = 2\)
2. \(2 \times 2 = 4\)
3. \(2 \times 3 = 6\)
4. \(2 \times 4 = 8\)
5. \(2 \times 5 = 10\)
6. \(2 \times 6 = 12\)
7. \(2 \times 7 = 14\)
8. \(2 \times 8 = 16\)
9. \(2 \times 9 = 18\)
10. \(2 \times 10 = 20\)
#### Column THREE (3 × ?)
1. \(3 \times 1 = 3\)
2. \(3 \times 2 = 6\)
3. \(3 \times 3 = 9\)
4. \(3 \times 4 = 12\)
5. \(3 \times 5 = 15\)
6. \(3 \times 6 = 18\)
7. \(3 \times 7 = 21\)
8. \(3 \times 8 = 24\)
9. \(3 \times 9 = 27\)
10. \(3 \times 10 = 30\)
#### Column FOUR (4 × ?)
1. \(4 \times 1 = 4\)
2. \(4 \times 2 = 8\)
3. \(4 \times 3 = 12\)
4. \(4 \times 4 = 16\)
5. \(4 \times 5 = 20\)
6. \(4 \times 6 = 24\)
7. \(4 \times 7 = 28\)
8. \(4 \times 8 = 32\)
9. \(4 \times 9 = 36\)
10. \(4 \times 10 = 40\)
#### Column FIVE (5 × ?)
1. \(5 \times 1 = 5\)
2. \(5 \times 2 = 10\)
3. \(5 \times 3 = 15\)
4. \(5 \times 4 = 20\)
5. \(5 \times 5 = 25\)
6. \(5 \times 6 = 30\)
7. \(5 \times 7 = 35\)
8. \(5 \times 8 = 40\)
9. \(5 \times 9 = 45\)
10. \(5 \times 10 = 50\)
#### Column SIX (6 × ?)
1. \(6 \times 1 = 6\)
2. \(6 \times 2 = 12\)
3. \(6 \times 3 = 18\)
4. \(6 \times 4 = 24\)
5. \(6 \times 5 = 30\)
6. \(6 \times 6 = 36\)
7. \(6 \times 7 = 42\)
8. \(6 \times 8 = 48\)
9. \(6 \times 9 = 54\)
10. \(6 \times 10 = 60\)
#### Column SEVEN (7 × ?)
1. \(7 \times 1 = 7\)
2. \(7 \times 2 = 14\)
3. \(7 \times 3 = 21\)
4. \(7 \times 4 = 28\)
5. \(7 \times 5 = 35\)
6. \(7 \times 6 = 42\)
7. \(7 \times 7 = 49\)
8. \(7 \times 8 = 56\)
9. \(7 \times 9 = 63\)
10. \(7 \times 10 = 70\)
#### Column EIGHT (8 × ?)
1. \(8 \times 1 = 8\)
2. \(8 \times 2 = 16\)
3. \(8 \times 3 = 24\)
4. \(8 \times 4 = 32\)
5. \(8 \times 5 = 40\)
6. \(8 \times 6 = 48\)
7. \(8 \times 7 = 56\)
8. \(8 \times 8 = 64\)
9. \(8 \times 9 = 72\)
10. \(8 \times 10 = 80\)
#### Column NINE (9 × ?)
1. \(9 \times 1 = 9\)
2. \(9 \times 2 = 18\)
3. \(9 \times 3 = 27\)
4. \(9 \times 4 = 36\)
5. \(9 \times 5 = 45\)
6. \(9 \times 6 = 54\)
7. \(9 \times 7 = 63\)
8. \(9 \times 8 = 72\)
9. \(9 \times 9 = 81\)
10. \(9 \times 10 = 90\)
#### Column TEN (10 × ?)
1. \(10 \times 1 = 10\)
2. \(10 \times 2 = 20\)
3. \(10 \times 3 = 30\)
4. \(10 \times 4 = 40\)
5. \(10 \times 5 = 50\)
6. \(10 \times 6 = 60\)
7. \(10 \times 7 = 70\)
8. \(10 \times 8 = 80\)
9. \(10 \times 9 = 90\)
10. \(10 \times 10 = 100\)
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Final Answer:
The completed multiplication worksheet is as follows:
| ONE | TWO | THREE | FOUR | FIVE | SIX | SEVEN | EIGHT | NINE | TEN |
|-----|-----|-------|------|------|-----|-------|-------|------|-----|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
| 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |
| 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |
| 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |
| 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |
| 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |
| 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |
| 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 |
| 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
Thus, the final answer is:
\[
\boxed{
\begin{array}{cccccccccc}
1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
2 & 4 & 6 & 8 & 10 & 12 & 14 & 16 & 18 & 20 \\
3 & 6 & 9 & 12 & 15 & 18 & 21 & 24 & 27 & 30 \\
4 & 8 & 12 & 16 & 20 & 24 & 28 & 32 & 36 & 40 \\
5 & 10 & 15 & 20 & 25 & 30 & 35 & 40 & 45 & 50 \\
6 & 12 & 18 & 24 & 30 & 36 & 42 & 48 & 54 & 60 \\
7 & 14 & 21 & 28 & 35 & 42 & 49 & 56 & 63 & 70 \\
8 & 16 & 24 & 32 & 40 & 48 & 56 & 64 & 72 & 80 \\
9 & 18 & 27 & 36 & 45 & 54 & 63 & 72 & 81 & 90 \\
10 & 20 & 30 & 40 & 50 & 60 & 70 & 80 & 90 & 100 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of times tables worksheet to print.