Determine the distance between 6.5 and −7.2 on a number line.(1 point)
The distance between 6.5 and −7.2 on a number line is 13.7.
Subtract −6−(−8).
Subtract −6−(−8).
To determine the distance between 6.5 and -7.2 on a number line, we can calculate the absolute difference between the two numbers. Absolute difference gives us the distance between two points on a number line, regardless of their positions.
Absolute difference = | 6.5 - (-7.2) |
To simplify the calculation, let's change the subtraction to addition by changing the signs of -7.2:
Absolute difference = | 6.5 + 7.2 |
Now, add the two numbers:
Absolute difference = 13.7
Therefore, the distance between 6.5 and -7.2 on a number line is 13.7 units.
To determine the distance between 6.5 and -7.2 on a number line, you can follow these steps:
1. Find the absolute difference between the two numbers. Absolute difference is the positive difference between two numbers regardless of their signs.
Absolute difference = |6.5 - (-7.2)|
2. Simplify the expression inside the absolute value to get the actual difference.
Absolute difference = |6.5 + 7.2|
3. Calculate the sum of the two numbers.
Absolute difference = |13.7|
4. Finally, simplify the expression inside the absolute value to get the distance.
Absolute difference = 13.7
Therefore, the distance between 6.5 and -7.2 on a number line is 13.7 units.