Question

Graph the numbers on a number line. Then write the numbers in increasing order. $$-0.1,-1.1,-1$$

Short answer

The numbers plotted on a number line in increasing order are -1.1, -1, and -0.1.

Step-by-step solution

Understand the Number Line

A number line is a vertical or horizontal line on which every point corresponds to a real number. Usually, it is horizontal, with 0 at the center. Numbers to the right of zero are positive and those to the left are negative. The farther right a number is, the larger it is; the farther left, the smaller.

Graph Numbers on the Number Line

Now, let's graph the given numbers on the number line. Start from zero and move to the left, since all given numbers are negative. For -1, move one unit to the left of zero. For -1.1, since it is more negative than -1, move left to a point little further than -1. Finally, for -0.1, since it is less negative compared to both -1 and -1.1, it should be placed slightly to the left of 0, but clearly to the right of both -1 and -1.1.

Write Numbers in Increasing Order

After graphing the numbers on the number line, it can be observed that -1.1 is the farthest to the left, thus it is the smallest number. Then comes -1 and finally -0.1. Therefore, the numbers in increasing order are -1.1, -1, -0.1.