Ordering numbers on a number line

Ordering numbers on a number line

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TGM Original — E Math Summary Notes (4052), 2026 editorial manuscript

On a number line, values increase from left to right. A negative number closer to zero is greater. Compare fractions using a common denominator, or use enough decimal places to determine their order.

Example

\(-2.5<-2<0<1.5\). Also \(-\dfrac34=-0.75<-0.7\), because \(-0.75\) lies further left.

\(a<b\) means strictly less; \(a\le b\) allows equality. Similarly, \(a>b\) means strictly greater and \(a\ge b\) allows equality. For instance, \(-2\le-2\) is true, but \(-2<-2\) is false.

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