Example

Locating 0.40.4 on a Number Line

To locate 0.40.4 on a number line, first recognize that 0.4=4100.4 = \frac{4}{10}, which is a proper fraction with a value less than 11. This means 0.40.4 lies between 00 and 11. Next, divide the interval from 00 to 11 into 1010 equal segments and label each tick mark in tenths: 0.0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.00.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0. Writing 00 as 0.00.0 and 11 as 1.01.0 keeps the labels consistent in tenths. The point 0.40.4 is then marked at the fourth tick, falling between 0.30.3 and 0.50.5.

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Updated 2026-04-21

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