Question

In this section of the activity, you’ll compare numbers by plotting them on a number line. For each set of numbers, draw your own number line on a piece of paper, taking care to plot each pair of irrational numbers. Then write a statement comparing the position of the two given numbers on a number line. Also write an inequality comparing the two numbers.

Answer 1

To compare numbers on a number line, plot each pair of numbers and compare their positions. Write an inequality comparing the two numbers.

Step-by-step explanation:

To compare numbers by plotting them on a number line, draw a number line and plot each pair of irrational numbers. For example, if we have the numbers √2 and π, we would plot √2 between 1 and 2, and π between 3 and 4. To compare their positions, we can see that π is to the right of √2 on the number line. We can write the inequality π > √2 since π is greater than √2.