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Does the sum of zero and a negative number is always a negative number?
Yes.
Is the the sum of a negative number and a positive number always positive?
No
How can you decide if the sum of two numbers is positive negative or zero without actually calculating the sum?
The sum of two positive numbers is always positive, and the sum of two negatives is always negative. If you have a positive and a negative number, there sum can be either, so look at the absolute values to decide. For example -3+2=-1. Since all you care about is the sign, look at the absolute value. If the negative number has a greater absolute value, the sum is negative and if the positive number's absolute value, which is the number itself, is bigger, the sum is positive. If the absolute values are equal, the sum is 0.
Is the sum of two integers always positive?
No. The answer depends on the context in terms of which the numbers are considered to be opposite.
Is the opposite of a negative number is positive?
The additive opposite is, but not the multiplicative opposite.The additive opposite is, but not the multiplicative opposite.The additive opposite is, but not the multiplicative opposite.The additive opposite is, but not the multiplicative opposite.
