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Comparing and Ordering Integers and Absolute Value

20 questions

6th - 6th Grade

Mathematics

This Grade 6 mathematics worksheet helps students compare and order integers and evaluate absolute value. Across 20 items, students order integers from least to greatest, compare signed numbers with inequality symbols, identify positive and negative integers on a number line, and find absolute values such as |-12| and |-5|. Multiple-choice, multiple-select, ordering, drag-and-drop, math-response, and open-ended questions give students practice with both selected and constructed responses. Students also represent real-world situations with integers, including values above or below sea level, gains, debts, and temperatures that change while remaining negative. The varied question formats help teachers check whether students can apply integer rules in context rather than rely only on memorized definitions. This free printable worksheet includes a complete answer key, making it useful for Grade 6 practice, independent work, review, or an assessment of foundational integer and absolute-value skills.

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Worksheets

Comparing and Ordering Integers and Absolute Value

Total questions: 20

Name
Class
Date
1.

Order the following

least to greatest

a)

-10

b)

-6

c)

-4

d)

-1

e)

11

1)
2)
3)
4)
5)
2.

What is −∣75∣?What\ is\ -\left|75\right|?  

a)

75

b)

-75

c)

not  possible

d)

0

3.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

4.

Compare the values.
-10  ____  -2 

a)
= 
b)
<
c)
> 
5.

The boat stayed at sea level the whole trip. What is that as an integer?

a)

0

b)

-1

c)

1

d)

15

6.
Which integer represents a gain of 10 yards on a football play?
a)
+10
b)
-10
7.

SELECT ALL integers which have a value that is GREATER than -4.

a)

-7

b)

-5

c)

-3

d)

2

e)

6

8.

Complete the statement using <, >, or =.

|-5| ___ |-10|

a)

<

b)

>

c)

=

9.

Compare: -24 ________-32

a)

<<

b)

>>

c)

==

10.

_________________ numbers are on the right side of zero on a number line.

a)

Positive

b)

Negative

11.

________________ numbers are on the left side of zero on a number line.

a)

Positive

b)

Negative

12.

Write an integer to represent the situation.

The city of New Orleans, Louisiana, is 8ft below sea level.

13.

The temperature in Toronto, Canada yesterday was −9°F-9\degree F . Today it is colder. Write an integer that could represent the temperature in Toronto today.

4 lines
14.

Write an integer to represent the situation.

You owe the library a fine of $3.

15.

Monday's temperature was -5°F and Tuesday's was warmer, but still negative. Write a negative integer that could represent Tuesday's temperature.

4 lines
16.

Which one of the situations below represents a negative situation?

a)

You earn $45 for mowing the neighbors lawn.

b)

The temperature on Jupiter is 145 degrees Celsius below zero.

c)

In a board game, your team gains 12 points.

d)

Water boils at 212 degrees Fahrenheit.

17.

Which one of the situations would results in a positive situation.

a)

A scuba diver is 40 feet below sea level.

b)

You owe your sister $15 for your mom's birthday present.

c)

Tom withdraws $50 from his bank account.

d)

Tammy deposits $100 into her bank account.

18.

Integers include ​ positive ​ (a)   numbers and ​ their ​ (b)   which are ​ (c)   whole numbers. ​ (d)   is also an integer. ​ (e)   and decimal numbers are not integers.

Choose from the below words
whole
opposites
negative
zero
fractions
19.

How do you know that 5 and -5 are opposites?

a)
Because they both have a 5 
b)
They are the same distance from 0 and on opposite sides of 0 
c)
Because they are the same 
d)
They both are on a number line 
20.
Which statement is true?
a)
The absolute value of 3 is -3
b)
The opposite of 7 is 7
c)
The absolute value of 5 is equal to the opposite of 5
d)
The opposite of -4 is equal to the absolute value of -4
Answer Key

Comparing and Ordering Integers and Absolute Value

Total questions: 20

1.
a, b, c, d, e
2.
b)

-75

3.
a)

12

4.
b) <
5.
a)

0

6.
a) +10
7.
c)

-3

, d)

2

, e)

6

8.
a)

<

9.
b)

>>

10.
a)

Positive

11.
b)

Negative

12.

−8-8

13.
n/a
14.

−3-3

15.
n/a
16.
b)

The temperature on Jupiter is 145 degrees Celsius below zero.

17.
d)

Tammy deposits $100 into her bank account.

18.
whole, opposites, negative, zero, fractions
19.
b) They are the same distance from 0 and on opposite sides of 0 
20.
d) The opposite of -4 is equal to the absolute value of -4

FAQs

What does the Comparing and Ordering Integers and Absolute Value worksheet cover?

This Grade 6 worksheet uses 20 ordering, multiple-choice, multiple-select, drag-and-drop, math-response, and open-ended items to build integer and absolute-value skills. Students order signed numbers, compare values such as -10 and -2, evaluate expressions such as |-12|, identify positive and negative numbers, and write integers for real-world situations involving sea level, gains, debts, and temperatures.

How can I use this worksheet to teach comparing integers and absolute value?

Begin with a number line to establish that values increase from left to right and that zero separates positive and negative integers. Then model how absolute value measures distance from zero before assigning the comparison and context items; have students explain why -24 is greater than -32 and why |-5| is less than |-10|. Finish with the open-ended temperature and real-world representation questions so students apply the rules in context.

What mistakes should I watch for when students complete this integer worksheet?

Students may reverse the order of negative numbers, assuming -10 is greater than -2 because 10 is greater than 2, or confuse the value of an integer with its distance from zero when evaluating absolute value. Watch for incorrect signs in context-response items, such as representing a debt or a location below sea level as positive, and for selecting only one answer on the multiple-select question asking for every integer greater than -4.

How do I assign and grade this Comparing and Ordering Integers worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for the ordering, selected-response, drag-and-drop, math-response, and open-ended items. You can grade printable submissions by scanning student work with the Wayground for Teachers app. The printable option can also support schools that are reducing screen time.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size when students need more room to read the integer comparisons and write responses. You can also enable a dyslexia-friendly font for the number-line and absolute-value items or translate the worksheet into another language while retaining its varied question formats.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.