Question

Billy is trying to convince Cynthia that all whole numbers are also natural numbers. To support his argument, Billy points out that 1, 2, 3, 4, 5, and 6 are all whole numbers and are also natural numbers. He goes on to argue that, by continuing the pattern, every integer greater than 6 will also be both a whole number and a natural number, thus making all whole numbers natural numbers.

Answer 1

Where has Billy made his error?
A.Billy has made no error. All whole numbers are natural.
B.He has failed to consider the number 0, which is a whole number but not a natural number.
C.He has failed to consider all of the negative integers, all of which are whole numbers but not natural numbers.
D.He has failed to consider fractions that divide evenly, such as 4/2or 16/4 which are whole numbers but are not natural numbers.

Answer 2

whole numbers include 0 where as counting numbers aka natural numbers dont include 0

Answer 3

so it is not true since 0 is the exception

Answer 4

so its B right?

Answer 5

B :)

Answer 6

thanks :)

Answer 7

There is inconsistency as to whether the natural numbers includes 0 and even more inconsistency in the definition of whole numbers.

Some include 0 in Natural numbers
http://en.wikipedia.org/wiki/Natural_number

Some include negative numbers in whole numbers
http://en.wikipedia.org/wiki/Whole_numbers

Some don't:
http://www.purplemath.com/modules/numtypes.htm

Answer 8

there is inconsistency but her answer choices lead me to believe b is best

Answer 9

b is right by the way

Answer 10

b should be right more often

Answer 11

:)

Answer 12

its b cuzz it is the only one that makes sense.

Answer 13

i understand now :)