Multiplication table grid for numbers 1 to 10.

Let’s solve this step by step.

This is a multiplication table. The top row (1 to 10) and the left column (5, 2, 3, 4, 6, 1, 7, 9, 8, 10) are the numbers we multiply together. Each cell in the grid should contain the product of the number at the start of its row and the number at the top of its column.

We’ll go row by row and fill in each cell with the correct multiplication result.

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Row starting with 5:
- 5 × 1 = 5
- 5 × 2 = 10
- 5 × 3 = 15
- 5 × 4 = 20
- 5 × 5 = 25
- 5 × 6 = 30
- 5 × 7 = 35
- 5 × 8 = 40
- 5 × 9 = 45
- 5 × 10 = 50

→ Row 1: [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]

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Row starting with 2:
- 2 × 1 = 2
- 2 × 2 = 4
- 2 × 3 = 6
- 2 × 4 = 8
- 2 × 5 = 10
- 2 × 6 = 12
- 2 × 7 = 14
- 2 × 8 = 16
- 2 × 9 = 18
- 2 × 10 = 20

→ Row 2: [2, 4, 6, 8, 10, 12, 14, 16, 18, 20]

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Row starting with 3:
- 3 × 1 = 3
- 3 × 2 = 6
- 3 × 3 = 9
- 3 × 4 = 12
- 3 × 5 = 15
- 3 × 6 = 18
- 3 × 7 = 21
- 3 × 8 = 24
- 3 × 9 = 27
- 3 × 10 = 30

→ Row 3: [3, 6, 9, 12, 15, 18, 21, 24, 27, 30]

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Row starting with 4:
- 4 × 1 = 4
- 4 × 2 = 8
- 4 × 3 = 12
- 4 × 4 = 16
- 4 × 5 = 20
- 4 × 6 = 24
- 4 × 7 = 28
- 4 × 8 = 32
- 4 × 9 = 36
- 4 × 10 = 40

→ Row 4: [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]

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Row starting with 6:
- 6 × 1 = 6
- 6 × 2 = 12
- 6 × 3 = 18
- 6 × 4 = 24
- 6 × 5 = 30
- 6 × 6 = 36
- 6 × 7 = 42
- 6 × 8 = 48
- 6 × 9 = 54
- 6 × 10 = 60

→ Row 5: [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]

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Row starting with 1:
- 1 × 1 = 1
- 1 × 2 = 2
- 1 × 3 = 3
- 1 × 4 = 4
- 1 × 5 = 5
- 1 × 6 = 6
- 1 × 7 = 7
- 1 × 8 = 8
- 1 × 9 = 9
- 1 × 10 = 10

→ Row 6: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]

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Row starting with 7:
- 7 × 1 = 7
- 7 × 2 = 14
- 7 × 3 = 21
- 7 × 4 = 28
- 7 × 5 = 35
- 7 × 6 = 42
- 7 × 7 = 49
- 7 × 8 = 56
- 7 × 9 = 63
- 7 × 10 = 70

→ Row 7: [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]

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Row starting with 9:
- 9 × 1 = 9
- 9 × 2 = 18
- 9 × 3 = 27
- 9 × 4 = 36
- 9 × 5 = 45
- 9 × 6 = 54
- 9 × 7 = 63
- 9 × 8 = 72
- 9 × 9 = 81
- 9 × 10 = 90

→ Row 8: [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]

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Row starting with 8:
- 8 × 1 = 8
- 8 × 2 = 16
- 8 × 3 = 24
- 8 × 4 = 32
- 8 × 5 = 40
- 8 × 6 = 48
- 8 × 7 = 56
- 8 × 8 = 64
- 8 × 9 = 72
- 8 × 10 = 80

→ Row 9: [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]

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Row starting with 10:
- 10 × 1 = 10
- 10 × 2 = 20
- 10 × 3 = 30
- 10 × 4 = 40
- 10 × 5 = 50
- 10 × 6 = 60
- 10 × 7 = 70
- 10 × 8 = 80
- 10 × 9 = 90
- 10 × 10 = 100

→ Row 10: [10, 20, 30, 40, 50, 60, 70, 80, 90, 100]

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Now let’s double-check a few random cells to make sure we didn’t make mistakes:

- Row 7, Column 8 → 7 × 8 = 56 ✔
- Row 9, Column 5 → 8 × 5 = 40 ✔
- Row 10, Column 10 → 10 × 10 = 100 ✔
- Row 3, Column 7 → 3 × 7 = 21 ✔

All look good!

Final Answer:
The completed multiplication table is:

Row 1 (x=5): 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Row 2 (x=2): 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Row 3 (x=3): 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Row 4 (x=4): 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Row 5 (x=6): 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Row 6 (x=1): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Row 7 (x=7): 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Row 8 (x=9): 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
Row 9 (x=8): 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Row 10 (x=10): 10, 20, 30, 40, 50, 60, 70, 80, 90, 100