Without using a calculator or even pen and paper—or even doing the arithmetic in your head—¿which is the larger product? of:
- 3.01 × 6.99
- 2.99 × 7.01
You know 3 × 7 = 21. But what happens if you gently place your finger on the teeter-totter?
Although this is “just arithmetic” and so doesn’t require a learnèd vocabulary of higher mathematics, it touches on a few “higher maths” topics:
- bilinearity being the way I would answer it “conceptually rather than computationally”
- wiggly numbers
- ± ε
- statistical robustness
- tensor product of modules
- isoperimetric inequality
I’ll leave the question/reasoning unanswered with a space for you to answer which is larger and why.
3±ε × 7∓ε = 21±¿?