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Equal Groups (Smart Array Matrix & Long Division Machine)

Source:

Build multiplication arrays and perform long division (e.g. 48 ÷ 4 = 12) on a smart 10x10 LED grid. The system demonstrates division as inverse multiplication, displaying quotients and remainders.

Categorisation

Props & Materials Required

  • 10x10 NeoPixel RGB LED matrix grid board
  • 4x4 membrane keypad module
  • ESP32 controller board
  • 0.96-inch OLED display screen
  • DFPlayer Mini MP3 module + 3W speaker

Step-by-Step Instructions

1

Input Division Problem

Key in '48 ÷ 6' on the matrix keypad.

2

Watch 48 LEDs Light Up

48 NeoPixel LEDs light up on the 10x10 grid matrix board.

3

Array Division Grouping

The 48 LEDs automatically separate into 6 distinct color columns of 8 LEDs each!

4

Quotient & Inverse Proof Audio

Display shows 'Quotient = 8, Remainder = 0'. Speaker: '48 divided into 6 equal groups gives 8 per group! Because 6 times 8 is 48!'

Why It Works & Notes

Multiplication and Division are inverse operations (6 × 8 = 48 ↔ 48 ÷ 6 = 8). Illuminating a 48-LED array on a grid and splitting it into 6 equal groups of 8 LEDs visually proves division.