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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.
When is it difference of a positive and negative integer positive?
The difference between a positive integer and a negative integer is ALWAYS positive.Suppose X and Y are positive so that -Y is negative,The the difference two numbers, A and B is A - B so the difference between X and (-Y) is X - (-Y) which equals X + Y. The sum of two positive numbers is always positive.
2 numbers that have the same absolute value but different signs?
It is impossible. The absolute value is always positive.
Can a absolute value negative number must be less than the absolute value of a positive numbers?
No. The absolute value of negative nine is greater than the absolute value of 3.
How can you decide if the sum of two numbers is positive negative or zero without calculating the sum?
The sum of two negative numbers is positive and the sum of two negatives is negative. If you have both positive and negative numbers the sum can be either so look at the absolute value. If the negative number has a greater absolute value, the sum is negative. If the positive number has a greater absolute value the sum is positive. If the absolute values are equal, the sum is zero.
