Question

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-6.4 \text { and }-6.3$$

Short answer

The two numbers, -6.4 and -6.3, are represented on the number line with -6.4 to the left of -6.3. In terms of inequalities, -6.4 < -6.3 and -6.3 > -6.4.

Step-by-step solution

Draw the Number Line

Start by drawing a horizontal line, which represents the number line. Then, place tick marks on the line to represent numbers. Make sure the tick marks for -6.4 and -6.3 are appropriately positioned. Typically, numbers to the left on a number line are smaller than those to the right. So, -6.4 should be to the left of -6.3 on the number line.

Mark the Numbers

Next, mark the positions of -6.4 and -6.3 on the number line. You can label these points for clarity. This visual representation will aid in understanding their relation.

Write the Inequalities

Now, use the symbols '<' (less than) or '>' (greater than) to create two inequalities. Recall that -6.4 is less than -6.3, and -6.3 is greater than -6.4. Therefore, the inequalities are -6.4 < -6.3 and -6.3 > -6.4.