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Is the sum of a negative number and a positive number equal to the sum of their absolute values?
Wiki User
∙ 13y ago
No.
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)
Wiki User
∙ 13y ago
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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.
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.
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.
When is the sum of a positive and negative integer negative?
When the absolute value of the positive integer is smaller than the absolute value of the negative one.
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.
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.
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.
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.
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.
