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.
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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.
whole numbers include 0 where as counting numbers aka natural numbers dont include 0
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so its B right?
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
Some include negative numbers in whole numbers
there is inconsistency but her answer choices lead me to believe b is best