A number line is a visual tool that represents numbers in order. It's a straight horizontal line with evenly spaced tick marks. Numbers increase as we move to the right and decrease as we move to the left. Zero is the center point, with positive numbers to the right and negative numbers to the left.
Negative numbers are values less than zero. On the number line, they are positioned to the left of zero. As we move further left from zero, the negative numbers become smaller. For example, negative three is smaller than negative two because it is further to the left. We often use red to represent negative numbers and blue for positive numbers.
Now let's plot the number negative two on the number line. We start at zero, then move one unit to the left to reach negative one, and then one more unit to the left to reach negative two. The red dot at position negative two represents our target number.
With negative two already plotted, let's now plot the number three. Starting at zero, we move one unit to the right to reach one, then another unit to reach two, and finally one more unit to reach three. The blue dot at position three represents our second number.
Now that both numbers are plotted, we can compare them visually. On a number line, numbers increase in value as we move from left to right. Since three is positioned to the right of negative two, we can conclude that three is greater than negative two. The arrow shows the direction from smaller to greater values.
To answer our original question: which is greater, negative two or three? Since three is positioned to the right of negative two on the number line, three is greater than negative two. We express this relationship mathematically as three is greater than negative two. This confirms that any positive number is always greater than any negative number.