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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!
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.
Do only integers have absolute value?
No. Absolute value applies to the set of real numbers.
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.
Will the square of a numbers absolute value always equal the absolute value of the number's square?
yes
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!
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 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.
Do only integers have absolute value?
No. Absolute value applies to the set of real numbers.
Can negative numbers be absolute values?
never
Is the absolute value of the sum of two numbers equal to the sum of the absolute values of the numbers?
NO! abs(2-2)=0 NOT equal to abs(2)+abs(-2)=4 - The above is technically correct, though the more thorough answer is as follows; no because the absolute value of the sum is LESS THEN OR EQUAL TO the sum of the absolute values. The simple proof the the fact that |A+B|<=|A|+|B| is called the triangular inequality. When A and B (or for that matter an infinite number of them) are both positive (or all) or both negative (or all) then they inequality is actually equal, if however any of the numbers have different signs then any other number, the inequality is less then.
Can the absolute value of a number equal a negative number?
no all absolute values are positive
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 many numbers have an absolute value equal to 5?
on the real number line there are 2 values with |5|, ie +5 and -5. on the complex plane there are an infinite set of values with an absolute value of 5, ie all the points of distance 5 from the origin.
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.
Can you compare two complex numbers?
You can compare their magnitude (absolute values) but not the numbers themselves.
Are the absolute values of a complex number and its conjugate always equal?
yes
