Determine the distance between 6.5 and −7.2 on a number line.
To determine the distance between 6.5 and -7.2 on a number line, we can find the absolute value of the difference of the two numbers.
|-7.2 - 6.5| = |-13.7| = 13.7
The distance between 6.5 and -7.2 on a number line is 13.7.
Subtract −6−(−8).
Subtracting -6 from -(-8) is equivalent to adding 6 to -8.
-(-8) + 6 = 8 + 6 = 14
Therefore, -6 - (-8) equals 14.
Subtract 17−(−18)
Subtracting 17 from -(-18) is equivalent to adding 17 to -18.
-(-18) + 17 = 18 + 17 = 35
Therefore, 17 - (-18) equals 35.
Solve the mathematical problem involving absolute value.
21÷3+4+|2−3|
(1 point)
To determine the distance between any two points on a number line, you can subtract the smaller number from the larger number. In this case, the smaller number is 6.5, and the larger number is -7.2.
However, since the two points are on opposite sides of zero on the number line, we need to consider the magnitude of each number. The distance between two points is always positive, so we want to ignore the negative signs for now.
The distance between 6.5 and -7.2 can be found by calculating the absolute difference between these two numbers. Absolute difference means taking the positive value of the difference.
Step 1: Find the absolute difference by ignoring the signs:
|6.5 - (-7.2)|
Step 2: Simplify the calculation:
|6.5 + 7.2|
Step 3: Add the absolute values of the two numbers:
|13.7|
Therefore, the distance between 6.5 and -7.2 on a number line is 13.7 units.