On Sevenths
Dec
2
2020
As we are homeschooling our 4th grader this year, and as we are starting the fractions section of math, I have been thinking of fractions. In particular, the sevenths.
All other fractions for single-digit denominators made sense to me, regarding converting them to decimals. But not seven.
The closest thing to not making sense other than seven is that 9/9 = 0.999999… and seems to me that 9/9 approaches 1 but never equals it. The difference is 0.0repeating1.
But on to sevenths. I have been telling my son that he needs to know his multiplication facts by heart, and I then thought it odd that I never tried to memorize what 1/7 is. So I set myself to doing it. I must have, long ago, decided it made no sense and was not worth doing, but doing it now it’s not so bad and I don’t know why I took so long to do so.
One seventh is 0.142857 with those 6 digits repeating forever.
For those starting to get bored, here’s where it starts to get interesting, at least for those of us who can find numbers interesting. And if numbers don’t interest you, maybe patterns will?