Question

Which absolute value expression represents the distance between 3 and −5 on a number line?

A) |3 − 5|
B) |3 − (−5)|
C) |−3 + 5|
D) |−3 − (−5)|

Answer 1

B) To represent the distance between 3 and −5 on a number line, the correct expression is I(3) - (-5)I .

Explanation:

Here the point A is given as 3 on number line.

Point B is given as -5 on number line.

To find : IA-BI

The distance between any two point A and B is given as IA-BI.

Now, to find the absolute value:

IA-BI = I (3) - (-5)I

or, IA-BI = I (3) + 5I = I8I

= 8 units

or, IA-BI = 8 units

Hence, on the number line, the distance between -5 and 3 is 8 units.

And, to represent the distance between 3 and −5 on a number line, the correct expression is I(3) - (-5)I .