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Find the absolute value of the complex number z equals 3 plus 4i?
Wiki User
∙ 11y ago
('|x|' = Absolute value of x)
|3+4i| = √(32 + 42)
= √(9+16)
= √25
= 5
Thus |3+4i| = 5.
Wiki User
∙ 11y ago
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What distance from zero to a number on the number line?
That's the absolute value.
Why is it useful for me to know the absolute value of a number?
The absolute value of a number is the distance to zero. When adding which ever number has the greater absolute value will determine the sign of the answer.
When is the absolute value of a number equal to the opposite of that same number?
The absolute value of a negative number is positive.
What is distance that a number is from zero on a number line called?
A number's distance from zero on a number line is its magnitude or "absolute value."absolute value or magnitude.absolute value
What negative numbers are less than positive numbers. Does this mean that the absolute value of a negative number must be less than the absolute value of a positive number Explain?
No it is not true. The absolute value of a number is simply the value of the number with a positive sign.
What is the absolute value of a complex number?
The absolute value of a complex number a+bi is the square root of (a2+b2). For example, the absolute value of 4+9i is the square root of (42 + 92) which is the square root of 97 which is about 9.8489 (The absolute value of a complex number is not complex.)
What is another name for absolute value of a complex number?
The absolute value of a complex number is the magnitude of the number, which is found from sqrt(a² + b²) for the complex number a + bi
The absolute value of negative fifteen equals?
The absolute value of -15 is 15. (any number in absolute value is positive.)
Can absolute value be zero?
The absolute value of zero is zero. The absolute value of any other real number - or even of any other complex number - is different from zero.
Can an absolute value be zero?
The absolute value of zero is zero. The absolute value of any other real number - or even of any other complex number - is different from zero.
Why cant the adsolute value of a number be negtive?
That is because of the way the absolute value is defined. The absolute value of a positive number is positive, the absolute value of a negative number is also positive. The absolute value of zero is zero. Even in the complex numbers, the absolute value is defined in such a way that it is a real and positive number.
Is there any way to calculate the absolute value of a complex number that equals a negative number?
Given that absolute values are always positive, and that there is no equivalence between complex numbers and real numbers, I would have to say no, there isn't. The absolute value of a real number is its distance from zero on a number line. Since a distance is always positive, we say the absolute value is always positive. Graphically, a real number is just a point on a number line. The absolute value of a complex number is its distance form the origin in a coordinate plane, where coordinate axes are the x-axis with real numbers, and the y-axis with imaginary numbers. In this diagram, called Argand diagram, a complex number a + bi (where a and b are real numbers) is the point (a, b) or the vector from the origin to the point (a, b). Using the distance formula, the absolute value or the distance of a complex number a + bi is equal to the principal square root of (a2 + b2).
Negative PLUS a positive equals?
It is a negative if the negative number has the higher absolute value and positive if the positive number has the higher absolute value.
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.
When is the absolute value of a number equal to the number?
The absolute value of a number equals the number itself if and only if the number is a positive real number (x >= 0 and does not include a nonzero imaginary component).
When is the absolute value of the number equal to the number?
The absolute value of a number equals the number itself if and only if the number is a positive real number (x >= 0 and does not include a nonzero imaginary component).
When you add a negative number to a postivie number it equals?
If the absolute value of a negative number is greater than the absolute value of a positive number, then on addition we will get a negative number. e.g. -4 + 1 = -3 If absolute value of positive number is greater, then the result is positive. e.g. 5 + (-4) = 1
