A. Write an expression to represent the difference between the two points shown on the number line.

B. Find the distance between the two points. [Hint: Remember that distance is always positive.]

A Write an expression to represent the difference between the two points shown on the number line B Find the distance between the two points Hint Remember that class=

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Part A

distance of point 1 = -1.6

distance of point 2 = 0.3

difference: -1.6 - 0.3 = -1.9

distance: 0.3-(-1.6) = 1.9

The expression that represents the distance between the two points is |0.3 + 1.6| and the distance between the two points is 1.9 units

The expression of the distance

The points on the line are represented as:

Point 1 = 0.3

Point 2 = -1.6

The distance between the two points is calculated using the following absolute value equation

d = |Point 1 - Point 2|

Substitute the known values

d = |0.3 - -1.6|

This gives

d = |0.3 + 1.6|

Hence, the expression that represents the distance between the two points is |0.3 + 1.6|

Evaluate the expression

In (a), we have:

d = |0.3 + 1.6|

Evaluate the sum

d = |1.9|

Remove the absolute sign

d = 1.9

Hence, the distance between the two points is 1.9 units

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