Question

Use the number line below to help you determine which of the following expressions is true.

The number line goes from 5.0 to 6.0 with 9 labeled marks in between. Each mark increases by point one. There are five labeled points. A point labeled 5.04 is between 5.0 and 5.1. A point labeled 5.26 is between 5.2 and 5.3. A point labeled 5.4 is at the mark labeled 5.4. A point labeled 5.520 is between 5.5 and 5.6. A point labeled 5.71 is between 5.7 and 5.8.

Answer 1

Order the points by their decimal values (remember 5.520 = 5.52):
5.04 < 5.26 < 5.4 < 5.520 < 5.71.

So any expression that matches those inequalities (for example 5.04 < 5.26 and 5.4 < 5.520 and 5.520 < 5.71, or the full chain above) is true.