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The powers of the multiplication table | plus.maths.org - Free Printable

The powers of the multiplication table | plus.maths.org

Educational worksheet: The powers of the multiplication table | plus.maths.org. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: The powers of the multiplication table | plus.maths.org
Looking at the red highlighted cells in this portion of the multiplication table, I can see they form a diagonal pattern: 25, 36, 49, 64, 81, 100, and 121. These are perfect squares:
- 25 = 5² (at position 5×5)
- 36 = 6² (at position 6×6)
- 49 = 7² (at position 7×7)
- 64 = 8² (at position 8×8)
- 81 = 9² (at position 9×9)
- 100 = 10² (at position 10×10)
- 121 = 11² (at position 11×11)

This confirms that the red highlights are showing perfect squares starting from 5² through 11², plus the 1×1 cell which is also highlighted in red (1 = 1²).

The blue highlight appears to cover the entire main diagonal (all perfect squares from 1² to 11²), while the red highlights focus on a subset of these perfect squares.

Since there's no explicit question stated in the image, I need to infer what the task might be. Given the highlighting pattern, the most likely task is to identify or understand the pattern of perfect squares in the multiplication table.

The solution would be to recognize that the highlighted cells (both blue and red) represent perfect squares, with the blue highlighting showing all perfect squares from 1² to 11² along the main diagonal, and the red highlighting emphasizing the perfect squares from 5² to 11² (plus 1²).

This demonstrates an important mathematical concept: in a multiplication table, the main diagonal contains all the perfect squares because each cell on the diagonal represents a number multiplied by itself (n × n = n²).
Parent Tip: Review the logic above to help your child master the concept of decimal multiplication chart.
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