Math

Understand the structure, not just the steps.

Build number sense, problem-solving habits and efficient methods that still make sense when the numbers change.

Example: 25 × 16 without long multiplication

You can split 16 into 4 × 4. Then:

25 × 16 = 25 × 4 × 4 = 100 × 4 = 400The trick works because multiplication can be regrouped without changing the product.

A second method is to use 16 = 8 × 2:

25 × 8 = 200, then 200 × 2 = 400.

Why this matters

Mental math is not about memorizing isolated tricks. It is about noticing structure: friendly numbers, factors, place value and equivalent expressions.

Practice

  1. 25 × 24
  2. 50 × 18
  3. 125 × 16
  4. Explain why 25 × 9 + 9 is not the same as 25 × 10.