So far in our study of the arithmetic of rational numbers, we've had addition \("putting apples and chunks of apples side by side and counting what you've got"\), subtraction \("the same, but you're allowed anti\-apples too"\), and multiplication \("make a rational number, but instead of starting from $~$1$~$ apple, start from some other number"\)\.

This does not seem like it'd be transparent, esp. at math 0? The popover also seems potentially confusing.