That's the absolute value.
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.
The absolute value of a negative number is positive.
A number's distance from zero on a number line is its magnitude or "absolute value."absolute value or magnitude.absolute value
No it is not true. The absolute value of a number is simply the value of the number with a positive sign.
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.)
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 -15 is 15. (any number in absolute value is positive.)
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.
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.
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.
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).
It is a negative if the negative number has the higher absolute value and positive if the positive number has the higher absolute value.
The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.
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).
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).
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