To find the decimal value of point M on the number line, we first need to determine the value of each tick mark.
The distance between the endpoints 5.6 and 5.7 is:
5.7 - 5.6 = 0.1
Since there are 9 tick marks between 5.6 and 5.7, we can calculate the value of each tick mark by dividing the total distance by the number of intervals created by the tick marks (which is 9).
The value of each interval is:
0.1 / 9 ≈ 0.0111 (rounded to four decimal places)
Now, starting from 5.6:
- The first tick mark is 5.6 + 0.0111 ≈ 5.6111
- The second tick mark is 5.6111 + 0.0111 ≈ 5.6222
- The third tick mark is 5.6222 + 0.0111 ≈ 5.6333
- The fourth tick mark is 5.6333 + 0.0111 ≈ 5.6444
Thus, the decimal value of point M, which is on the fourth tick mark after 5.6, is approximately 5.6444.