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What numbers have equal absolute values?

A positive and negative number with the same magnitude (value) will have their absolute values equal.


Is the sum of an absolute value is the same of their absolute values?

The sum of the absolute values of two numbers is greater or equal than the absolute values of the sum. It will be equal if both are positive or both are negative; greater if one is positive and one is negative. Try it out with some sample numbers!


Why is the product of two absolute values is always a positive number?

This is not strictly true, because an absolute value, and hence the product of two absolute values can be zero. It is, therefore true to say that the product of two absolute values is always non-negative. An absolute value of a number is, by definition, non-negative. And by the definition of multiplication, the product of two non-negative numbers in non-negative.


What is the opposite of the absolute value of 8?

The additive opposite is negative 8 (-8). Absolute values are always positive numbers.


How can one number be less than another and the absolute values of the number be the same?

If "one number" is negative and "another" is positive and the absolute values are the same, then "one number" will be less (because it is negative) than "another" (because it is positive). All negative numbers are less than any positive numbers.


How do you add negative numbers to positive numbers?

To add a negative number and a positive number: -- Find the difference of their absolute values (their sizes, ignoring their signs). -- Give it the same sign as whichever of the original two numbers had the larger absolute value.


What numbers have opposites that are the same as their absolute values?

All numbers have opposites that are the same as their absolute values.


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.


To multiply a negative number and a negative number you should multiply their absolute values and make the product negative true or false?

That is false. A negative times a negative is always a positive. Since absolute numbers are always positive if you make it negative that is not correct.


How is absoulute value different from positive and negative integers?

The absolute value is always non-negative. So, the absolute values of zero and positive integers are the same as the numbers. However, the absolute values of negative integers are their additive inverses or additive opposites (or positive equivalents).Thus, for example, abs(-3) = +3


Is the absolute value of a positive integer a negative integer?

Absolute values are never negative. The opposite, or negative, or additive inverse, of a negative number is the number's absolute value; a non-negative number is its own absolute value. The absolute values of 7 and -5, are, respectively, 7 and 5.


Can absolute value be negative?

No, absolute values are always positive.