0
Add your answer:
Earn +20 pts
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.
Why complex numbers has no inequality?
Ah! but they can. Using absolute values |3-i|<|3+2i|.
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.
What is mean by absolute value of rational numbers?
Absolute values are essentially used for the magnitude (distance) to zero of a number. They are represented by a number inside a vertical bar (e.g., |2|) E.g.'s: | 2 | = 2 (the absolute value of 2 is equal to 2) | -4 | = 4 (the absolute value of -4 is 4) In terms of rational numbers, it just means to hold the fraction. Rational numbers can be written in a/b (fraction) form. E.g.'s: | 1+2/3 | = 1+2/3 (the absolute value of one and two thirds is equal to one and two thirds) | -1-2/3| = 1+2/3 (the absolute value of -1 minus 2/3 is equal to 1 and 2/3.
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.
Can negative numbers be absolute values?
never
Do only integers have absolute value?
No. Absolute value applies to the set of real numbers.
Can the absolute value of a number equal a negative number?
no all absolute values are positive
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 you compare two complex numbers?
You can compare their magnitude (absolute values) but not the numbers themselves.
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.
Are the absolute values of a complex number and its conjugate always equal?
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.
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.
