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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!

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Q: Is the sum of an absolute value is the same of their absolute values?
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Related questions

When is the sum of a positive integer and a negative integer zero?

When the absolute value of the positive integer is the same as the absolute value of the negative one.


When is true that absolute value of x plus y equals sum of their individual absolute values?

When 'x' and 'y' both have the same sign.


How can you predict the sign of the sum of a positive and a negative integer before you add the numbers?

If the absolute value of the positive integer is greater than the absolute value of the negative integer, then the sum of the two will be positive.If the absolute value of the positive integer is less than the absolute value of the negative integer, then the sum will be negative.If the absolute values of the two integers are the same then the sum will be zero, which has neither a negative nor a positive sign.


What is the rule for adding integers and rational numbers with the same sign?

The value of the answer is the sum of the absolute values of the numbers and the sign of the answer is the same as that of the two numbers.


What is greater than the number in a pair?

The value of the sum of their absolute values is one possible answer.


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.


When is the sum of a positive and negative integer equal to 0?

When the absolute values of the two integers is the same. The absolute value is the value of the number without considering its sign. So, for example, abs(-3) = abs(3) = 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.


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 does addition rule same sign mean?

The sum of a set of addends whose sign is the same is the sum of the absolute values of the addends with the same sign as the addends.


What is triangular inequality of complex number?

The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.


How can you tell if adding two rational numbers with different is a positive negative or zero?

Consider the absolute values (the numerical values ignoring the signs) of the two numbers. If these are equal then the sum is equal; otherwise the sum takes the sign of which ever number has the larger absolute value.