Weird math fact

A comic strip  (which you can see here after the jump) raised a mathematical conundrum that I’ve been trying to get my mind around.  Maybe you can help.

(1) 9 x 1/9 = 1.   Right?  That’s what the fraction 1/9 means.

(2)  1/9 = .1111111. . .  If you turn 1/9 into its decimal form, by dividing 9 into 1, the result is .1111111. . . [meaning a repetition into infinity]

(3)  9 x (.1111111. . .) = 1    Substitute the decimal form for  1/9 in equation (1).

(4)  .9999999. . . = 1      Do the calculation in equation (3).   9 x .111111. . .  is .999999. . ., another repetition into infinity.  The number by itself is short of 1, infinitely short, but you could go into infinity and it would never be 1.  AND YET, in the equation, .99999 in an infinite regress EQUALS 1.

How can that be?

Barney & Clyde

By Gene Weingarten, Dan Weingarten and David Clark

Barney & Clyde 12/06

"So you are saying he has made explicit what was implicit."

Short takes
"I should add, for clarity, that the promises of the coming/return of Yahweh to reign ..."

A Unified Protestant Confession?
""supporters of Obamacare are starting to attack this new Republican plan."Actually, pretty much anyone remotely ..."

Short takes
"Trump has raised international discourse to a new level.Trump: "Rocket man!"Kim: "Am not!"Trump: "Are too! ..."

Short takes

Browse Our Archives

Follow Us!


What Are Your Thoughts?leave a comment