Final answer:
The halfway point between two nearby tenths on a number line is at the five hundredths place, which is option b. At 0.05.
Step-by-step explanation:
The correct answer is option b. At 0.05.
On a number line that shows tenths, the halfway point between any two consecutive tenths is at the five hundredths place. For example, between 0.1 (or 1/10) and 0.2 (or 2/10), the halfway mark is 0.15. However, because the question appears to ask for the halfway point between 0 (zero) and the first tenth (0.1), the midpoint would be 0.05. This is because halfway between any two numbers is found by taking the average of those two numbers. In this case, the average of 0 and 0.1 is (0 + 0.1) / 2, which equals 0.05.
To find the halfway point between the two nearby tenths, we can calculate the average of the two tenths.
For example, if the two nearby tenths are 0.1 and 0.2, we can add them together and divide by 2 to find the halfway point: (0.1 + 0.2) / 2 = 0.3 / 2 = 0.15.
So in this case, the halfway point between the two nearby tenths is shown at 0.15 on the number line model.