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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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โˆ™ 2010-03-07 01:14:23
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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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

What is the sum of a positive integer and a negative integer?

The sum will take on the sign of whichever number has the higher absolute value. If the absolute values are the same, the sum is zero.


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.


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.


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 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.


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.


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


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.


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.


A negative plus a positive equals?

The sum can be either positive or negative. -- The absolute value of the sum is the difference between the two original numbers. -- The sign of the sum is the same as the sign of the original number that has the larger absolute value.


Why does the mean absolute value deviation is calculated using absolute value?

if no absolute value is used the sum is zero.


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.


Two numbers with the same absolute value but difference signs?

Example: +94 and -94 .Factoid: The sum of any two numbers with the same absolute value and opposite signs is zero.


What is the sum of the different numbers that have the same absolute value?

If 2 numbers are different, but have the same absolute value, then one is the opposite of the other. Any number plus its opposite equals zero.


Is the sum of two numbers with different signs has the same sign as the addend with the smaller absolute value?

No. The sign you will use is going to be the sign with the greater absolute value.


What is the sum of two opposites?

If the negative has a greater absolute value, the sum will be negative. If the positive has a greater absolute value, the sum will be positive.


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.


The difference of a negative integer and a positive integer is?

An integer that is equal in magnitude to the sum of their absolute values. Its sign is the same as which of the two numbers you are taking the difference from. For example, for the integers 5 and -7. Their absolute values are 5 and 7 so that the sum of the absolute values is 5+7 = 12. Then 5 - (-7) = +12 and -7 - 5 = -12.


How does the absolute value of the sum relate to the absolute value of the two numbers being added?

|a + b| ≤ |a| + |b|


What is the sum of -17 and the absolute value of -6?

-11


Is the sum of two integers positive negative or zero?

The sum of two positive integers is positive. The sum of two negative integers is negative. The sum of one positive integer and one negative integer has the same sign as the addend with the greater absolute value. If the absolute values of the two addends are equal, the sum is zero.


What is the sum of values divided by the number of value?

The mean


What is the sum of -7 and the absolute value of -6?

-1