Integers Opposites Absolute Value Worksheet with Answers – Grade 6 (Free PDF)

Problem 1 Writing signed numbers ★★★

Write a positive or negative number for each situation.

1. 8 °F below zero
2. A deposit of $35
3. 40 feet above sea level
4. A debt of $12

Problem 2 Finding opposites ★★★

Write the opposite of each number: 14, −9, 0, 3.5.

Problem 3 Reading a number line ★★★

Name the number shown by each of the points A, B, C and D.

Problem 4 Comparing integers ★★★

Write <, > or = in each blank.

1. −3 ___ 2
2. −7 ___ −4
3. 0 ___ −1
4. −2.5 ___ −2.50

Problem 5 Absolute values ★★★

Evaluate: |−12|, |8|, |0| and |−3.5|.

Problem 6 Ordering integers ★★★

Arrange 9, −3, −8, 2, −1 from least to greatest.

Problem 7 Thermometer readings ★★★

The thermometer shows the temperature at 7 AM and at noon. Which reading is lower, and how many degrees did the temperature rise?

Problem 8 Ordering rational numbers ★★★

Order from least to greatest: 12, −34, −1.25, 0.2.

Problem 9 Opposite of an opposite ★★★

Simplify each expression: −(−8), −(−(−3)), −|−6| and −(5).

Problem 10 Absolute value comparisons ★★★

Write <, > or = in each blank.

1. |−9| ___ |5|
2. −9 ___ 5
3. |−4| ___ |4|
4. −|−2| ___ |−2|

Problem 11 Closer to sea level ★★★

A diver is at −32 feet and a seagull is at +20 feet. Which one is closer to sea level? Use absolute value.

Problem 12 Half-unit number line ★★★

Find the value of each of the points M, P and N.

Problem 13 Ordering elevations ★★★

Order these elevations from lowest to highest: Dry Gulch Basin, −186 ft; Pelican Bay, 0 ft; Cedar Ridge, 940 ft; Salt Sink, −54 ft.

Problem 14 Same distance from zero ★★★

Two points on a number line are each 7 units from 0. What numbers do they show, and how are the numbers related?

Problem 15 Daily low temperatures ★★★

The low temperatures this week were: Monday −4 °F, Tuesday 6 °F, Wednesday −11 °F, Thursday 0 °F, Friday −2 °F. Which day was coldest, and what is the order from warmest to coldest?

Problem 16 Trivia game scores ★★★

In a trivia game, Priya has −15 points, Omar has −25, Luis has 10 and Kai has −5. Who is winning? List the players from first to last place, and tell whose score is farthest from 0.

Problem 17 Ocean and sky ★★★

A submarine is at −240 feet, a plane at 3,600 feet, a whale at −75 feet and a gull at 90 feet. Order the four from lowest to highest, then say which one is closest to sea level.

Problem 18 Mirror points ★★★

A point on a number line is 4.5 units to the left of 0. A second point is its opposite. Write both numbers and their absolute values, then explain why the absolute values match.

Problem 19 Account balances ★★★

Four account balances are: Mia −$8.50, Ben $0, Zoe −$12.25 and Eli $3.75. Order them from least to greatest and tell who owes the most money.

Problem 20 True or false ★★★

Decide whether each statement is true or false, and justify it with an example.

1. Every negative number is less than every positive number.
2. If |a| > |b|, then a > b.
3. The opposite of a positive number is negative.
4. An absolute value is never negative.