For the collection \(-3,-2,-1,0,1,2,3\), write the fraction representing total natural numbers; what will it be for whole numbers and for integers?
Natural numbers: \(\dfrac{3}{7}\); Whole numbers: \(\dfrac{4}{7}\); Integers: \(\dfrac{7}{7}=1\)
Given collection: −3, −2, −1, 0, 1, 2, 3
Total number of items:
(7)
Natural numbers (start from 1):
In the list: ( {1, 2, 3} )
Count: (3)
Fraction = ( dfrac{ ext{natural numbers}}{ ext{total}} )
( dfrac{3}{7} )
Whole numbers (start from 0):
In the list: ( {0, 1, 2, 3} )
Count: (4)
Fraction = ( dfrac{4}{7} )
Integers (…, −2, −1, 0, 1, 2, …):
The entire list contains only integers.
Count: (7)
Fraction = ( dfrac{7}{7} )
( dfrac{7}{7} = 1 )
Final answers:
Natural numbers: ( dfrac{3}{7} )
Whole numbers: ( dfrac{4}{7} )
Integers: ( dfrac{7}{7} = 1 )