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Is the absolute value of the sum of two numbers equal to the sum of the absolute values of the numbers?
Wiki User
∙ 13y ago
NO!
abs(2-2)=0 NOT equal to abs(2)+abs(-2)=4
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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.
Wiki User
∙ 13y ago
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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 are the numerical values for l5l?
The absolute value (|5|) numbers are 5 and -5.
What are Two numbers at equal distance from zero are called?
Absolute value
What happens when you add two opposites together?
The absolute value of the answer is the difference between the absolute values of the two numbers and the sign associated with it is the same as that of the number with the greater absolute value.
What does greatest absolute value mean?
It means that you take the absolute values of different numbers, and then compare them to see which one is greater.
What numbers have equal absolute values?
A positive and negative number with the same magnitude (value) will have their absolute values equal.
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!
Do only integers have absolute value?
No. Absolute value applies to the set of real 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.
Can the absolute value of a number equal a negative number?
no all absolute values are positive
Will the square of a numbers absolute value always equal the absolute value of the number's square?
yes
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.
Will positive numbers alway have a higher absolute value than the negative numbers?
No, positive numbers do not always have a higher absolute value than negative numbers. The absolute value of a negative number is equal to its positive equivalent. For example, the absolute value of -3 and 3 is both 3.
What are the numerical values for l5l?
The absolute value (|5|) numbers are 5 and -5.
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.
What are Two numbers at equal distance from zero are called?
Absolute value
What happens when you add two opposites together?
The absolute value of the answer is the difference between the absolute values of the two numbers and the sign associated with it is the same as that of the number with the greater absolute value.
