Final answer:
To find a number on the number line that is the same distance from -2.8 as -7.2, we first calculate the distance between -2.8 and -7.2, which is 4.4 units. We then determine the number that is 4.4 units to the right of -2.8, which is 1.6.
Step-by-step explanation:
The question asks us to find a number on the number line that is the same distance from -2.8 as -7.2 is. To find this, we first determine the distance between -2.8 and -7.2.
The distance between two numbers on the number line is the absolute value of the difference between the numbers. So, we calculate:
|-2.8 - (-7.2)| = |-2.8 + 7.2| = |4.4| = 4.4
This means that the number we are looking for will also be 4.4 units away from -2.8 on the number line. Since -7.2 is to the left of -2.8, the number the same distance to the right of -2.8 will be:
-2.8 + 4.4 = 1.6
Therefore, 1.6 is the same distance away from -2.8 on the number line as -7.2 is.