Absolute meansopposite of Any number for example 145 is is equal to minus 145

Absolute Value of 145

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of the number without considering its direction. In the case of 145, the absolute value can be found by simply removing the negative sign, if present, and considering the value as positive.

Definition of Absolute Value

The absolute value of a real number 'a', denoted as |a|, is defined as follows:
- If 'a' is greater than or equal to zero, then |a| = a.
- If 'a' is less than zero, then |a| = -a.

Finding the Absolute Value of 145

In this case, the number 145 is positive, so its absolute value is equal to the number itself. Therefore, the absolute value of 145 is 145.

Representation on the Number Line

The number line is a graphical representation of all real numbers. It helps us visualize the absolute value concept and understand the position of a number relative to zero.

Consider the number line below:

-∞ ... -146 -145 -144 ... 0 ... 144 145 146 ... +∞

The number 145 lies to the right of zero on the number line. Its absolute value of 145 indicates that it is 145 units away from zero in the positive direction.

Properties of Absolute Value

The absolute value function has several properties that are useful in various mathematical operations. Some of the key properties include:

1. Non-Negativity: The absolute value of any number is always non-negative.

2. Symmetry: The absolute value of a number is equal to the absolute value of its negation.

3. Triangle Inequality: For any two real numbers 'a' and 'b', |a + b| ≤ |a| + |b|.

These properties make absolute value a valuable tool in solving equations, inequalities, and various mathematical problems.

In summary, the absolute value of 145 is 145. It represents the distance of 145 from zero on the number line and is always a non-negative value.