Quotient positive: Both integers have the same sign: both positive or both negative.
Quotient zero: The first integer is 0.
Quotient negative: The integers have opposite signs: one positive and one negative.
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The sum of two positive integers is always positive.
No, whole numbers are defined as non-negative integers.
If you are multiplying negative numbers, an odd number of factors will have a negative product. An even number of factors will have a positive product.
You did not provide any choices to choose from, but you can tell this way. Integers include whole numbers (which are the counting numbers and zero) and their negatives. So -5, 0, 1, 5023, -5435345435, are all integers. No fractions or decimals are included in the set of integers.
It is not always easy to tell if a number is irrational. If a number can be expressed as a ratio of two integers, then it is rational. If not, it is irrational. So the expression is in the negation: a number than cannot be expressed as a ratio of two integers.