Question

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-0.1 \text { and }-0.11$$

Short answer

\(-0.1 > -0.11 \) and \(-0.11 < -0.1 \)

Step-by-step solution

Plot the numbers on a number line

To do this, draw a horizontal line, and mark off evenly spaced intervals. For this case, because we are dealing with decimals, it might be easier to plot increments of 0.01. Mark -0.1 and -0.11 on this line. Since -0.1 is greater than -0.11, it should be located to the right of -0.11 on a properly oriented number line.

Write the first inequality

An inequality is a relation between two expressions that may not be equal. Based on the graphic representation on the number line, -0.1 is greater than -0.11. This can be written as -0.1 > -0.11.

Write the second inequality

Similarly, the other inequality will express that -0.11 is less than -0.1. This can be written as -0.11 < -0.1.