Final Answer:
The integer that is 300 units to the left of 25 on the number line is -275.
Step-by-step explanation:
The distance between two integers on a number line is determined by subtraction. In this case, finding an integer 300 units to the left of 25 involves subtracting 300 from 25. When moving to the left on the number line, we subtract from the initial number.
Mathematically, to find the integer 300 units to the left of 25:
25−300=−275.
Therefore, -275 is the integer located 300 units to the left of 25 on the number line. Negative integers are to the left of zero on the number line, and as we move left from 25, we reach -275 after moving 300 units.
This demonstrates that when moving to the left on a number line, subtracting a value from the initial number decreases its value. In this case, subtracting 300 from 25 leads to the integer -275, which is 300 units to the left of 25 on the number line.