Ordering Rational Numbers

A rational number is any number that can be expressed as the quotient or fraction $$\frac{a}{b}$$ , where $$a$$ and $$b$$ are integers and @@b eq 0@@.

To compare two rational numbers, convert them to a common denominator or convert them to decimal form and then compare their values.

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

The absolute value of -8 is | -8 | = 8.

The distance between two numbers $$a$$ and $$b$$ is given by the formula |a - b|.

Negative numbers have the same absolute value as their positive counterparts. For example, | -x | = x.

To order rational numbers from least to greatest, compare their values and arrange them accordingly.

-15.5 < -11.5, because -15.5 is further left on the number line.

The distance between -13 and 13 is | -13 - 13 | = | -26 | = 26.

Use the symbol '>' to represent that one number is greater than another.