To determine which of the provided options shows a rational number plotted correctly on a number line, let's analyze each one step-by-step.
-
Option 1: A number line from -8 to 4, increments of 2.
- The numbers are: -8, -6, -4, -2, 0, 2, 4.
- Between -4 and -2, we can find -3.5 by recognizing that it is halfway between -4 and -3.
- However, it is incorrectly stated that -3.5 is one space left of 4 (which is not true; it should be between -4 and -2). So this option is incorrect.
-
Option 2: A number line from -20 to -10, increments of 2.
- The numbers are: -20, -18, -16, -14, -12, -10.
- The rational number \(-\frac{21}{2}\) or -10.5 lies between -12 and -10.
- It is correctly stated as being one space to the left of -10 (note that there are four equal spaces between each number, confirming this position). So this option is correct.
-
Option 3: A number line from -10 to 4, increments of 2.
- The numbers are: -10, -8, -6, -4, -2, 0, 2, 4.
- \(-\frac{7}{2}\) or -3.5 is not at -6 but rather between -4 and -2, hence it is incorrectly placed if plotted at -6. So this option is incorrect.
-
Option 4: A number line from -2 to 8, increments of 2.
- The numbers are: -2, 0, 2, 4, 6, 8.
- \(\frac{9}{2}\) or 4.5 is indeed located halfway between 4 and 5, which is not indicated correctly as one space to the left of 4. Hence, this option is incorrect.
Thus, the only option that correctly shows a rational number plotted on the number line is Option 2.
0 answers