Why is 3/8 times 9/27 the same as 9/27 times 3/8Explain without recangles and area math
because when I see hot a what baabhabhiat my peepee grows from 3/8 inch to 9/27 inch
can be shown for naturals by induction then integers and rationals follow triviallynot typing it all out for what looks like a troll thread
>>16921992>why does walking 3/8 of 9/27 miles equal walking 9/27 of 3/8 mileskill you'reself
>>16921992>have 3 boxes (A B C) with 5 apples each>have 5 empty boxes (D E F G H)>Empty conents of box A to put 1 apple in D E F G and H respectively.>repeat with Box B and C>now have 5 boxes with 3 apples each>still have same number of apples>[5 groups of 3] = [3 groups of 5]
because the transformations on the real number line between those two points is symmetric under multiplication.
>>16921992Rational numbers are, by definition, the field of fractions of the integers, and as such they are a field more generally and commutativity of multiplication follows immediately.
>>16924638>Rational numbers are, by definition, the field of fractions of the integersWhat came first, the field axioms or the numbers?
>>16924640Does it matter?The metre came before the measurement of c, but we use the latter to define the former
dont use fractions, fractions are stupid. use decimal like a sentient being.375 * .33333 (use as many places as you need for the accuracy you need) = .33333 * .375If you come across a fraction and don't immediately convert it to decimal then there's no hope for you. Calculators exist for a reason. Fractions don't.