Answer :
Certainly! Let's find the distance between the numbers -172 and -69 on a number line using simple calculations.
1. Identify the Two Points:
The two points we are considering are -172 and -69.
2. Understand the Concept of Distance on a Number Line:
The distance between two points on a number line is always a positive number. It is found by calculating the absolute difference between the two points.
3. Calculate the Difference:
To find the absolute difference, subtract the smaller number from the larger number, and then take the absolute value of the result.
[tex]\[
\text{Difference} = -69 - (-172)
\][/tex]
4. Simplify the Subtraction:
When you subtract a negative number, it's the same as adding that number.
[tex]\[
\text{Difference} = -69 + 172
\][/tex]
5. Perform the Addition:
Now, add the two numbers:
[tex]\[
-69 + 172 = 103
\][/tex]
6. Absolute Value:
Since the result of our addition is already positive, the absolute value of 103 is simply 103.
Therefore, the distance between -172 and -69 on a number line is [tex]\( \mathbf{103} \)[/tex].
1. Identify the Two Points:
The two points we are considering are -172 and -69.
2. Understand the Concept of Distance on a Number Line:
The distance between two points on a number line is always a positive number. It is found by calculating the absolute difference between the two points.
3. Calculate the Difference:
To find the absolute difference, subtract the smaller number from the larger number, and then take the absolute value of the result.
[tex]\[
\text{Difference} = -69 - (-172)
\][/tex]
4. Simplify the Subtraction:
When you subtract a negative number, it's the same as adding that number.
[tex]\[
\text{Difference} = -69 + 172
\][/tex]
5. Perform the Addition:
Now, add the two numbers:
[tex]\[
-69 + 172 = 103
\][/tex]
6. Absolute Value:
Since the result of our addition is already positive, the absolute value of 103 is simply 103.
Therefore, the distance between -172 and -69 on a number line is [tex]\( \mathbf{103} \)[/tex].
