Pebble Math Visualizer – Saffron Edition

normal pebble highlighted / selected empty slot / removed

a (first pile)

b (second pile)

Addition = putting two piles together.

a (starting pile)

b (remove this many)

Subtraction = start with a pile of a and grey out b removed pebbles.

a (pebbles per row)

b (number of rows)

Multiplication a × b = b rows of a pebbles.

a (total pebbles)

b (pebbles in each group)

Division = making equal groups. a ÷ b = number of full groups (quotient) + leftover pebbles (remainder).

n (distinct pebbles)

k! = number of ways to order k distinct pebbles. We build 1!, 2!, 3!, 4! step-by-step by inserting the new pebble into all slots.

n (distinct pebbles)

At stage k, insert pebble k into every slot of the (k−1)! permutations. For n ≤ 4 we can show all permutations.

n (total pebbles)

k (selected pebbles)

Combinations = choose k pebbles out of n. We list all combinations for small n (n ≤ 7), each as a row of gold pebbles.

a (choices each step)

b (steps / positions)

a^b = number of length-b sequences where each step has a choices. We show position boxes, example sequences, and a small tree when a ≤ 3 and b ≤ 3.