How many in all,
when groups of the same size come together?

Multiplication is really just a short way of writing "add the same number over and over." If there are 3 bags of candy with 4 candies each, that's 4+4+4=12, which we can write simply as 3×4=12. When you line circles up in groups, you don't have to count them one by one — knowing the number of groups and the size of each group tells you the total right away.

Here's the interesting part: 3 groups of 4 and 4 groups of 3 look different, but the total is the same 12. That's why 3×4 and 4×3 always give the same answer.

Move the sliders to change the number of groups and the amount in each group, and watch how the circles grow — and check for yourself whether the answer stays the same when you swap the order of the two numbers.