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Example 1.117 from Elementary Algebra, 1.8 The Real Numbers
The Real Numbers: example 1.117
Locate 0.4 on the number line.
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Solution
A proper fraction has value less than one. The decimal number 0.4 is equivalent to a proper fraction, so 0.4 is located between 0 and 1. On a number line, divide the interval between 0 and 1 into 10 equal parts. Now label the parts 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0. We write 0 as 0.0 and 1 and 1.0, so that the numbers are consistently in tenths. Finally, mark 0.4 on the number line. See Figure 1.18.
Figure 1.18
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Locate on the number line: 0.6.
How did it go?