Final answer:
To find the distance between -17 and 9 on a number line, we take the absolute value of the difference between the two numbers, which is 26. The distance is simply the sum of the absolute values of the two numbers without considering their signs.
Step-by-step explanation:
The question asks about the distance on a number line between two integers, -17 and 9. To find this distance, we consider the absolute value of the difference between the two numbers. The calculation process involves subtracting the smaller number from the larger number without considering their signs and then taking the absolute value, which gives us the total distance between the two points on the number line.
Here's a step-by-step approach to solving the problem:
- Identify the numbers: -17 and 9
- Ignore the signs and subtract the smaller number from the larger number: 9 - (-17) = 9 + 17
- Add the absolute values: 26
- Therefore, the distance between -17 and 9 on the number line is 26.