To complete this multiplication chart, we need to fill in each blank cell with the product of its row number and column number.
For example:
- The cell at row 3, column 4 should be 3 × 4 = 12.
- The cell at row 7, column 8 should be 7 × 8 = 56.
- The diagonal (where row = column) is already shaded — those are perfect squares like 1×1=1, 2×2=4, up to 12×12=144.
We’ll go row by row and fill in all missing values.
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Row 1:
1×1=1, 1×2=2, 1×3=3, ..., 1×12=12 → All numbers from 1 to 12.
Row 2:
2×1=2, 2×2=4, 2×3=6, ..., 2×12=24 → Even numbers from 2 to 24.
Row 3:
3×1=3, 3×2=6, 3×3=9, ..., 3×12=36 → Multiples of 3.
Row 4:
4×1=4, 4×2=8, 4×3=12, ..., 4×12=48 → Multiples of 4.
Row 5:
5×1=5, 5×2=10, 5×3=15, ..., 5×12=60 → Multiples of 5 (ending in 0 or 5).
Row 6:
6×1=6, 6×2=12, 6×3=18, ..., 6×12=72 → Multiples of 6.
Row 7:
7×1=7, 7×2=14, 7×3=21, ..., 7×12=84 → Multiples of 7.
Row 8:
8×1=8, 8×2=16, 8×3=24, ..., 8×12=96 → Multiples of 8.
Row 9:
9×1=9, 9×2=18, 9×3=27, ..., 9×12=108 → Multiples of 9.
Row 10:
10×1=10, 10×2=20, 10×3=30, ..., 10×12=120 → Multiples of 10 (all end in 0).
Row 11:
11×1=11, 11×2=22, 11×3=33, ..., 11×12=132 → For 1–9: repeat digit; 10→110, 11→121, 12→132.
Row 12:
12×1=12, 12×2=24, 12×3=36, ..., 12×12=144 → Multiples of 12.
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Let’s verify a few random cells to make sure:
- Row 5, Column 7 → 5 × 7 = 35
✔
- Row 9, Column 11 → 9 × 11 = 99
✔
- Row 12, Column 10 → 12 × 10 = 120
✔
- Row 7, Column 7 → 7 × 7 = 49 (should be on diagonal)
✔
All calculations check out.
Final Answer:
The completed multiplication chart contains all products from 1×1 to 12×12, filled correctly according to standard multiplication rules.
Parent Tip: Review the logic above to help your child master the concept of multiplication charts fill in printable.
