Is an absolute value always positive why?

Answer 1

An absolute value can be thought as the distance from zero. This is why absolute value is never negative; absolute value tells about "how far?" and not " which direction?". The absolute value of a, denoted mathematically in vertical bars like; |a | (read as , the absolute value of a), for example, 3 is the absolute value of both 3 and −3. This means that | 3 | = 3, because 3 is three units to the right of zero, and also | -3 | = 3, because -3 is three units to the left of zero. To understand Absolute numbers we have to understand related terms, like Numbers, Real numbers, rational number, irrational number, Mathematically speaking , the absolute value also known as or modulus of a real number is its numerical value, disregarding its sign. When we say disregard sign it means negative sign, this means an Absolute value could be positive or zero. In other words an absolute number tells about magnitude, distance or norm. A real number can be rational or irrational, signed (+ve or -ve) , equation or zero , measuring a continuous quantity. A rational can a fraction where it has numerator and denominator . Numbers that are not rational are called irrational numbers. The real line consists of the union of the rational and Irrational Numbers. They may in theory be expressed by decimal representations that have an infinite sequence of digits to the right of the decimal point; these are often represented in the same form as 157.5478912... the ellipsis, three dots indicate that there would still be more digits to come.

Answer 2

Negative numbers have minus signs.

Positive numbers have plus signs. They are implied and usually not written.

The absolute value of a number has no sign, since it is the distance away from zero on a number line and not the direction.

The absolute value of a number will look positive since it has no sign. Unlike a positive number, it really doesn't have one.