Absolute Value and the Number Line Worksheet

Question 1

Find the absolute value of -9. Explain what your answer means on a number line.

Accepted Answer

The absolute value of -9 is 9. This means -9 is 9 units away from 0 on the number line.

Question 2

Find the absolute value of 14.

Accepted Answer

The absolute value of 14 is 14 because 14 is 14 units away from 0.

Question 3

Write the symbol for the absolute value of -6, then find its value.

Accepted Answer

The symbol is |-6|, and its value is 6 because -6 is 6 units from 0.

Question 4

Plot -4 and 4 on a number line. What do these two numbers have in common?

Accepted Answer

The numbers -4 and 4 are both 4 units away from 0. They have the same absolute value.

Question 5

Compare using <, >, or =: |-8| ___ |5|. Explain your choice.

Accepted Answer

|-8| is 8 and |5| is 5, so |-8| > |5|.

Question 6

Compare using <, >, or =: |-3| ___ |3|. Explain your choice.

Accepted Answer

|-3| is 3 and |3| is 3, so |-3| = |3|.

Question 7

A diver is 12 feet below sea level. Write the diver's position as an integer and find the absolute value of that integer.

Accepted Answer

The diver's position is -12 feet. The absolute value is 12, which means the diver is 12 feet from sea level.

Question 8

A mountain peak is 2,300 feet above sea level. Write the elevation as an integer and find its absolute value.

Accepted Answer

The elevation is 2,300 feet. The absolute value is 2,300 because the peak is 2,300 feet from sea level.

Question 9

Find all numbers that have an absolute value of 7.

Accepted Answer

The numbers are -7 and 7 because both are 7 units away from 0.

Question 10

Find all integers x that make this equation true: |x| = 10.

Accepted Answer

The integers are x = -10 and x = 10 because both numbers are 10 units from 0.

Question 11

Evaluate the expression: |-15| - |6|.

Accepted Answer

|-15| - |6| = 15 - 6 = 9.

Question 12

Evaluate the expression: | -4 | + | -11 |.

Accepted Answer

|-4| + |-11| = 4 + 11 = 15.

Question 13

Order these numbers from least to greatest: -2, 5, -7, 0, 3.

Accepted Answer

The numbers from least to greatest are -7, -2, 0, 3, 5.

Question 14

Order these absolute values from least to greatest: |-9|, |2|, |-4|, |0|.

Accepted Answer

The absolute values are 9, 2, 4, and 0, so the order from least to greatest is |0|, |2|, |-4|, |-9|.

Question 15

Two students are standing on a number line. Ana is at -6 and Ben is at 2. How far apart are they?

Accepted Answer

Ana and Ben are 8 units apart because the distance from -6 to 0 is 6 units and the distance from 0 to 2 is 2 units, for a total of 8 units.

Absolute Value and the Number Line