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The sum of a negative number and a positive number has the absolute value of their difference and the sign of whichever of them was bigger - in absolute terms.

So -3 + 4 = +1 (diff between 3 and 4 is 1, and the bigger number, 4, is positive)

-3 + 3 = 0 (diff between 3 and 3 is 0, the sign for zero does not matter)

-3 + 2 = -1 (diff between 3 and 2 is 1, and the bigger number, 3, is negative)

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Why is the sum of a negative number and a positive number is sometimes positive sometimes negative and sometimes zero?

The sum of a negative number and a positive number can be positive, negative, or zero depending on their absolute values. If the positive number has a greater absolute value than the negative number, the result is positive. Conversely, if the negative number has a greater absolute value, the result is negative. If their absolute values are equal, the sum equals zero.


What numbers have equal absolute values?

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


How can we tell without calculating whether the sum of a positive number and a negative number will be positivenegative or zero?

To determine the sum of a positive number and a negative number without calculating, we can compare their absolute values. If the absolute value of the negative number is less than the positive number, the result will be positive. If the absolute value of the negative number is greater than the positive number, the result will be negative. If they are equal, the sum will be 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.


What do you get when you add a positive and negative number?

First, subtract the absolute values of the integers, then use the greater absolute value's sign.

Related Questions

Why is the sum of a negative number and a positive number is sometimes positive sometimes negative and sometimes zero?

The sum of a negative number and a positive number can be positive, negative, or zero depending on their absolute values. If the positive number has a greater absolute value than the negative number, the result is positive. Conversely, if the negative number has a greater absolute value, the result is negative. If their absolute values are equal, the sum equals zero.


Can the absolute value of a number equal a negative number?

no all absolute values are positive


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.


What numbers have equal absolute values?

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


Will an absolute value be graphed on the positive or negative side of the number line?

Absolute values are always positive; so graph it on the positive side of the number line.


What do you do when subtracting a positive and a negative?

If you subtract a negative from a positive, add both of their absolute values. If you subtract a positive from a negative, add both of their absolute values and multiply by negative one.


Negatives are never absolute values WHY?

The absolute value is the distance from 0 on the number line. -5 is 5 away from 0. You cannot have a negative distance, therefore you cannot have a negative absolute value. Absolute values are not ALWAYS positive because absolute values can be zero as well. Zero is not positive nor negative.


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 know the opposites and absolute values of integers?

opposites: if it is a negative, make it a positive. if it is a positive, make it a negative absolute value: take the number without any sign. if it is negative, make it positive. if it is positive, keep it as a positive,


To multiply a positive number and a negative number you should multiply their absolute values and make the product negative?

Yes.


Can absolute value be negative?

No, absolute values are always positive.


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.