Comparing and Ordering Rational Numbers

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

To compare two rational numbers, convert them to a common denominator or decimal form, then determine which is greater or lesser.

Ordering rational numbers helps in understanding their relative sizes and is essential for solving problems involving inequalities and ranges.

Ascending order means arranging numbers from the smallest to the largest.

Descending order means arranging numbers from the largest to the smallest.

To convert a fraction to a decimal, divide the numerator by the denominator.

The decimal equivalent of 56% is 0.56.

To identify the least and greatest numbers, compare all numbers in the set and determine which is the smallest and which is the largest.

Negative rational numbers have absolute values that are positive, and the greater the absolute value, the smaller the number is on the number line.

The inequality symbol for 'less than' is '<'.