Step 1

According to the question, we have to write the properties of absolute value.

In mathematics, absolute value or modulus is same thing and it is defined as the non-negative value of y without regard to its sign. Namely, \(\displaystyle{\left|{{y}}\right|}={y}\) if y is positive, and \(\displaystyle{\left|{{y}}\right|}=−{y}\) if y is negative.

Absolute values are often used in problems involving distance and are sometimes used with inequalities.

Step 2

As per the discussion, the absolute value can be defined as the distance of a number on the number line from 0 without considering which direction from zero the number lies.

The properties of the absolute values are as follows,

1- The absolute value of a number is never negative.

2- The absolute value of a number means the distance from 0. -7 is 7 units away from 0.

3- Its often used in problems involving distance and are sometimes used with inequalities.

For example, the absolute value of 4 is 4, and the absolute value of −4 is also .

Hence, basically the distance of a number on the number line from 0 without considering which direction from zero the number lies.

According to the question, we have to write the properties of absolute value.

In mathematics, absolute value or modulus is same thing and it is defined as the non-negative value of y without regard to its sign. Namely, \(\displaystyle{\left|{{y}}\right|}={y}\) if y is positive, and \(\displaystyle{\left|{{y}}\right|}=−{y}\) if y is negative.

Absolute values are often used in problems involving distance and are sometimes used with inequalities.

Step 2

As per the discussion, the absolute value can be defined as the distance of a number on the number line from 0 without considering which direction from zero the number lies.

The properties of the absolute values are as follows,

1- The absolute value of a number is never negative.

2- The absolute value of a number means the distance from 0. -7 is 7 units away from 0.

3- Its often used in problems involving distance and are sometimes used with inequalities.

For example, the absolute value of 4 is 4, and the absolute value of −4 is also .

Hence, basically the distance of a number on the number line from 0 without considering which direction from zero the number lies.