# Worksheet: Distance and Midpoint on a Number Line

In this worksheet, we will practice finding the distance between two points on a number line by finding the algebraic difference as well as the midpoint between them.

Q1:

Point bisects the segment between and . What number is at? Q2:

The given figure represents the number line of integers. Find the length of + the length of considering that a length unit is 1 cm. Q3:

If the figure below represents the line of integer numbers, find the length of considering a length unit . Q4:

For which of these number lines can the distance shown be written as ?

• A • B • C • D • E Q5:

Find the length of . • A1 length unit
• B11 length units
• C5 length units
• D6 length units

Q6:

Using the given number line, write the expression that represents the distance between and . • A
• B
• C
• D
• E

Q7:

Find the length of . Q8:

Consider the points and . Given that is the midpoint of ,find .

• A units
• B8.5 units
• C units
• D units
• E17 units

Q9:

Given and and that is the midpoint of , find .

• A units
• B units
• C units
• D units
• E units

Q10:

On the given number line, points and represent the numbers 0 and 16, respectively. Determine the length of . Q11:

If the figure below represents the line of integer numbers, find the length of considering a length unit . Q12:

If the figure below represents the line of integer numbers, find the length of considering a length unit . Q13:

If the figure below represents the line of integer numbers, find the length of considering a length unit . Q14:

Point bisects the segment between and . What number is at? Q15:

The given figure represents the number line of integers. Find the length of + the length of considering that a length unit is 1 cm. Q16:

The given figure represents the number line of integers. Find the length of + the length of considering that a length unit is 1 cm. Q17:

The given figure represents the number line of integers. Find the length of + the length of considering that a length unit is 1 cm. Q18:

Find the length of . • A5 length units
• B7 length units
• C1 length unit
• D6 length units

Q19:

Find the length of . • A3 length units
• B7 length units
• C2 length units
• D5 length units

Q20:

Find the length of . • A3 length units
• B13 length units
• C5 length units
• D8 length units

Q21:

Find the length of . • A3 length units
• B11 length units
• C4 length units
• D7 length units

Q22:

Find the length of . • A4 length units
• B6 length units
• C1 length unit
• D5 length units

Q23:

Use the drawn number line to find the rational number . • A
• B
• C
• D