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Will positive numbers always have a higher absolute value than the negative numbers and WHY?
No. The absolute value is the distance a number is from zero. It is always represented by a positive number. The absolute value of any positive number and its negative counterpart is the same.
What do a positive and negative equal?
A positive number added to a negative number may be either positive or negative depending on the magnititude ( absolute value) of the numbers. But a positive number multiplied by a negative number is always negative.
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.
What is the absolute value of a number is always non negative?
The absolute value of any number is always positive. * * * * * The statement in the question is true; strictly speaking the answer is correct. The absolute value of 0 is 0, which is non-negative but is not positive. One exception is enough to falsify an "always".
The opposite of the absolute value of negative seven?
If you are taking the absolute value of a negative number, that number will always be positive. So the opposite of the absolute value of -7 would be -7.
