Question

The number of multiples of 3 less than 200 is \(\lfloor 200/3 \rfloor\). Why?

Answer 1

you know what floor function is ?

Answer 2

How does floor function even do that? Yes I do

Answer 3

You disinclude the remainder. Wait, is that a hint?

Answer 4

because the number of multiples is an INTEGER
and is just less than 200/.3

Answer 5

200/3

Answer 6

say, no. of multiples of 3 less than 10 =3 = floor(10/3)=floor(3.3333)=3

Answer 7

Hmm... can you do that with any number?

Answer 8

yes....

Answer 9

for 'no. of multiples less than'

Answer 10

I mean, can you generalize it to this: The number of multiples of \(a\) less than \(b\) is \(\lfloor b/a\rfloor\)

Answer 11

And will that list include zero?

Answer 12

absolutely.
for a,b >0
and make it less than = to

Answer 13

0 for what ?and no, list won't contain 0

Answer 14

Okay, so I can just add 1 if I want the number of non-negative multiples.

Answer 15

Thank you, I'd post a related question now.