Heisenberg said
That doesn't sound very effective unless you floss before you brush, since the sand in toothpaste is what's used to get stuff out of your teeth.
Dude, don't tell me how "ineffective" baking soda is. I know how it truly is, and I use it outside of baking and personal hygiene. When other methods failed, baking soda was what got my hood of my stove clean. Baking soda was what got my tub clean. I use it in many other places as well. It's one of the best things out there, and it's all natural.