Question

A number is "terrific" if it is a multiple of 2 or 3. How many terrific numbers are there between -11 and 11?

Answer 1

i think it's 14

Answer 2

-10, -9, -8, -6, -4, -3, -2, 0, 2, 3, 4, 6, 8, 9, 10

Answer 3

\(\Large \color{purple}{ 15 :) } \)

Answer 4

is zero a multiple of 2 or 3?

Answer 5

by the vast majority of authorities it is. I just looked it up

Answer 6

wouldn't that make the lowest common multiple of 2 and 3 be zero instead of 6, or am i confusing my definitions of multiple

Answer 7

@UnkleRhaukus , the answers would be multiple of six if the question were A number is "terrific" if it is a multiple of 2 "AND" 3.

In the current question , it is 2 "or" 3.

Answer 8

is zero a multiple of 2

Answer 9

See here @UnkleRhaukus
http://answers.yahoo.com/question/index?qid=20080930071807AAnt82V

Answer 10

true
As there are 15 numbers which are multiples of 2 or 3 between -11 and 11, only option E is correct.<br>Terrific numbers between -11 and 11 are -10,-9,-8,-6,-4,-3,-2,0,2,3,4,6,8,9 and 10.

Answer 11

In a separate question does the definition of multiple change?
Is the lowest common multiple of 2 and 3; zero or 6?

Answer 12

6

Answer 13

yeah but zero is a multiple of 2 , and it is also a multiple of 3, zero is lower than 6 ... right?

Answer 14

LOL. @UnkleRhaukus , see this http://mathforum.org/library/drmath/view/62543.html

Answer 15

LOL

Answer 16

thank yo shivam
We do not count zero as a common multiple. If we did, then zero would
be the least common multiple of any two numbers (unless we also
counted negative multiples, in which case there would be no least
common multiple of any two numbers).

Answer 17

good point,
it is definitely common,
so it isn't a multiple