Rational numbers are obtained from the integers the same way fractions are obtained from natural numbers---by taking pairs of them. The main operations are defined. The rational numbers form a `field', an important technical term in mathematics whose definition we give precisely.
Hi Mr Nj,
Thanks for such a great series, these are very helpful. I wonder if the properties for Irrational numbers such as Commutative and Distributive could be proved in an easy manner as you did for fractions?
aaruni123 5 days ago in playlist MathFoundations
he is basically saying a Rational number has a repeating set of numbers with a pattern EX. 1/3 is a fraction and as a decimal it would be 0.333333333333 It will continue forever with the SAME PATTERN.
An Irrational number will repeat also BUT it WILL NOT have a pattern EX. 22/7 is a fraction But as a decimal it would be 3.1486..... this is a Repeating decimal But it DOES NOT go by the SAME PATTERN
FYI: I am in 7th grade gifted and we reviewed this a few days ago so it is still fresh on me :)
troytoria1 6 days ago
ive been mindfucked, olease help me its really confusing me
altf8 1 week ago
It would not be hard if high school students were taught abstract algebra....
relike868p 1 month ago
I don't get it..
RoseHerlin 5 months ago
@hannan4564 He's offering the outline of a wall. It's our job to work-out (with a bit of independent research & study) how all the bricks fit in order to build the wall. It's too time consuming to go into detail, he's trying to cover a whole program.
Thanks nj!
likeprestige 11 months ago 2
very difficult lecturer
hannan4564 1 year ago
I don't understand:
It says that in the case of M less N, if N is bigger than M (as in 1 less 2) that together they are equal to negative N minus M. If that was the case, wouldn't 1 less 2 be equal to negative 3?
thekkl 1 year ago