No. The negative integers would be -1, -2, -3,... and so forth. Negative fractions or negative decimals that won't reduce are not negative integers.
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No, not every negative number is an integer. For example, -11/2 is not an integer. However, -1, -2, -3, and so on, are negative integers. Perhaps that is what you meant to ask. The negative of every positive integer is a negative integer.
yes each and every number is an integer
It is a negative integer, a negative rational integer, a negative real number.
Every integer is a rational number.
Yes, and also a negative integer divided by a negative integer is equal to a positive number (but not necessarily an integer).