Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. -3.6 and -1.4

Tabansi

Tabansi

Answered question

2021-02-21

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
-3.6 and -1.4

Answer & Explanation

Tuthornt

Tuthornt

Skilled2021-02-22Added 107 answers

Step 1
Given:
The two numbers as -3.6 and -1.4
Step 2
Explanation:
Definition:
Distance between two numbers:
In terms of absolute value,
Let P and Q be any two real numbers
then,
|PQ|= The distance between P and Q
Step 3
The given two numbers as -3.6 and -1.4
Therefore,
Consider D be the distance between -3.6 and -1.4,
D=|3.6(1.4)|
D=|2.2|
D=2.2
Or
D=|1.4(3.6)|
D=|2.2|
D=2.2
Here the change in the order of numbers does not effect the answer
Since both are same.
Therefore,
Absolute value between -3.6 and -1.4 is 2.2.
Hence the solution.

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