Start with the reverse. If you had half a pizza and you wanted to divide it by quarters of a pizza, you’d be able to do it 4 times (there are four quarter slices in a half pizza).
But with this we’re asking how many half-pizza slices are in a quarter-pizza slice. The answer is that there’s half of one (half of a half is a quarter).
I understand this mathematically, but can somebody explain it logically?
0.25 is half of 0.5
Multiplying by 0.5 halves. Dividing would double the number. 0.25 doubled is 0.5.
Sleep well!
y/x = x with y = x*x because 0.25 is 0.5 squared.
from the “wow factor” it’s the same as writing: 9/3 = 3 - not very wow at all
deleted by creator
Start with the reverse. If you had half a pizza and you wanted to divide it by quarters of a pizza, you’d be able to do it 4 times (there are four quarter slices in a half pizza).
But with this we’re asking how many half-pizza slices are in a quarter-pizza slice. The answer is that there’s half of one (half of a half is a quarter).
you’re just doing 1/2 in a smaller scale. it makes most sense logically; it’s actually the numbers that are confusing you.