Comparing & 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 $$b \neq 0$$ .

To convert a percentage to a decimal, divide the percentage by 100. For example, 56% becomes 0.56.

The first step is to convert all numbers to the same form (either fractions, decimals, or percentages) to make comparison easier.

Convert all numbers to the same form, then compare their values to arrange them in ascending order.

'>' means 'greater than'. For example, if $$a > b$$ , then $$a$$ is larger than $$b$$ .

The decimal equivalent of $$\frac{3}{4}$$ is 0.75.

To find a number between two rational numbers, you can average them or choose a number that is closer to either end.

The number line visually represents the order of numbers, where numbers to the right are greater than those to the left.

To compare fractions with different denominators, convert them to equivalent fractions with a common denominator or convert them to decimals.

The decimal equivalent of 80% is 0.80.