7 ≠ 7/10
7 = 7/1
7/10 = 0.7
Definition:
A rational number is any number α/β ( a fraction ) such that both α and β are integers.
Recall,
that an integer is any "counting" number between -∞ and +∞ among the set Z={..., -3, -2, -1, 0, 1, 2, 3,...} So, for instance, -1,000,004 is an integer as would +1,000,004
So to answer your question, yes, 7 is a rational number since it can be written using integers in fractional form, that is
7 = α/β
= 7/1
Where α = 7
and β = 1
and both α and β are found in the set
of integers,
Z = {..., -3, -2, -1, 0, 1, 2, 3,...}
:-)
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