Rational Numbers Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
Order these numbers from least to greatest: โˆ’12-\frac{1}{2}, โˆ’0.45-0.45, โˆ’35-\frac{3}{5}.

Solution

  1. 1
    Convert to decimals: โˆ’12=โˆ’0.5-\frac{1}{2} = -0.5 and โˆ’35=โˆ’0.6-\frac{3}{5} = -0.6.
  2. 2
    Compare: โˆ’0.6<โˆ’0.5<โˆ’0.45-0.6 < -0.5 < -0.45, so โˆ’35<โˆ’12<โˆ’0.45-\frac{3}{5} < -\frac{1}{2} < -0.45.

Answer

โˆ’35<โˆ’12<โˆ’0.45-\frac{3}{5} < -\frac{1}{2} < -0.45
Negative rational numbers can be compared by rewriting them in the same form, then ordering them on the number line from most negative to least negative.

About Rational Numbers

Numbers that can be expressed as a ratio of two integers (ab\frac{a}{b} where bโ‰ 0b \neq 0).

Learn more about Rational Numbers โ†’

More Rational Numbers Examples

Example 1 easy

Place the following numbers in order from least to greatest: [formula], [formula], [formula].

Example 2 medium

Express [formula] as a fraction in simplest form.

Example 3 easy

Which is greater: [formula] or [formula]?

โ† All Rational Numbers Examples Rational Numbers Concept