Understanding rational numbers

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Positive integers are greater than zero, while negative integers are less than zero.

To represent a rational number on a number line, locate the position that corresponds to the value of the number, dividing the line into equal parts if necessary.

The numerator is the top part of a fraction that indicates how many parts of the whole are being considered.

The denominator is the bottom part of a fraction that indicates the total number of equal parts the whole is divided into.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

$$\frac{2}{4} = \frac{1}{2}$$ .

To add two rational numbers with different denominators, find a common denominator, convert each fraction, and then add the numerators.

The absolute value of a number is its distance from zero on the number line, regardless of direction.

To subtract a rational number, you can add its opposite (negative) to the first number.