Integers and Absolute Value Graphic Organizer
Class Set – Do not write on this page. Answer all Questions in your Composition notebook. Title
the page Integers and Absolute Value.
Directions: Use textbook pages 419-420 to complete the information below.
Answer the following questions in complete sentences.
1. According the graph at the top of page 419, what does Myron’s remaining balance of ‒8
mean? Myron’s remaining balance of ‒8 means that he overspent the budget and owes his
parents $8.
2. Describe what it means for the bar to be above zero and below zero. A bar that is above zero
means that the student had money left in their budget at the end of the month. A bar below
zero means the student overspent the budget and owes their parents money.
3. Who were the two students that had money remaining in their budget at the end of the
month? The two students that had money remaining in their budget at the end of the month
were Berto and Elijah.
4. How would you define an integer? An integer is any number from the set {…, -4, -3, -2, -1, 0,
1, 2, 3, 4, …} where … means continues without end.
5. What do you call numbers that are less than zero and are written using a (‒) symbol?
Numbers less than zero written using a (-) sign are called negative integers.
6. Is zero a positive or a negative integer? Zero is neither a positive or a negative integer.
7. Define positive integer. A positive integer is greater than zero and is written with or without
a + sign.
8. Describe where zero is located on a number line. Zero is located between the negative 1 and
the positive 1 on a number line.
9. Are positive integers always, sometimes, or never written with a (+) symbol? Positive
integers are sometimes written using a + symbol.
10. Integers are often described using words to identify if the integer is positive or negative.
These words are usually antonyms. Some examples of words that might describe positive
and negative integers are: ascend/descend, climb/fall, and deposit/withdrawal. Copy these
three examples and add two more examples of your own. Answers may vary. Some
examples include: gain/loss; up/down; spent/saved
11. Describe how to graph a point on a number line. To graph a point on a number line, draw a
point on the line at its location.
12. On a horizontal number line, are the negative numbers to the right or to the left of zero?
On a horizontal number line the negative numbers are to the left of zero.
13. Draw a horizontal number line and graph this set of integers on the number line { 8, -6, -9, 5
}
14. Define absolute value. Absolute value is the distance between a number and zero on a
number line.
15. Use the Study Tip on page 420 to explain why the absolute value of a number is always
positive or zero. The absolute value of a number is always positive or zero because distance
cannot be negative.
16. Explain why 4 and ‒4 have the same absolute value. 4 and ‒4 have the same absolute value
because they are both 4 units from zero.
17. Name two more sets of numbers that would have the same absolute value. Answers may
vary: Two sets of numbers that would have the same absolute value are 5 and ‒5 and 9 and
‒9.
18. (Use the Read Math clue to help you answer this question) How would you read |6| and
|‒12|? |6|is read as “the absolute value of six” and |‒12|is read as “the absolute value of
negative twelve.
19. In example 4, you are asked to evaluate each expression. The expression |‒7| was
evaluated at 7. How would you evaluate |‒8|? |‒8|has a value of 8.
20. Reread your answer to question 14, then copy example 5 including the blue words in your
notebook. Complete problems f and g from the Check Your Progress section.
|5| + |‒6|
The absolute value of 5 is 5.
The absolute value of ‒6 is 6.
So, 5 + 6 = 11
F. |‒9| + |3|
9 + 3 = 12
G. |‒8| ‒ |‒2|
8 ‒2 = 6