Unit 2: Integers
Section 2.1 Representing Integers
Integers : A set of numbers that can be positive or negative. They DO NOT
include fractions or decimals.
-5
-4
-3
-2
-1
0
1
2
3
4
5
Zero is a__Neutral Integer____.
It is NOT positive or negative.
Integers can be represented using tiles.
Textbook : Yellow = positive
+1
Notes : Shaded = positive
Textbook : Red = negative
-1
Notes : Not Shaded = negative
If you combine one positive tile with one negative tile......you get zero.
Is called a_Zero Pair______.
Examples:
A) Represent +3
B) Represent -3
1
+
1
1
C) If we combine +3 with -3, what is the answer? ZERO
+3 and -3 are known as _opposite integers___. The sum of opposite integers is
zero.
List the opposite integer for each of the following:
+5
→ -5
-3
→ +3
-10
→ +10
+8
→ -8
-32 → +32
Practice # 1
1. Represent the following using tiles.
A). + 4
B).
-2
1
1
C). 0
1
2. What is the opposite integer for each of the following:
A). + 3
→-3
B). -6
→ +6
C). + 11
→ -11
D). -7
→ +7
3. What is the sum if you add each integer in Question 2 with it’s opposite?
Each set of integers added to its opposite equals ZERO
4. Represent each situation below using integers.
A). The temperature dropped 8 oC over night. -8
B). Ms. Winsor gained 27 pounds when she was pregnant. +27
C). Julia lost 5 pounds when she joined track and field. -5
D). A shipwreck was discovered 235 meters below sea level. -235
E). Dennis gained 3 marks on his test for getting the bonus question
correct. +3
F). Walmart rolled back the price on their Halloween Decorations by $6. -6
Compare and Order Integers
1. Which integer is greater?
Use
> (greater than symbol) or
< (less than symbol)
 All positive integers are ALWAYS greater than negative integers.
 With positive integer the bigger # is the greater integer.
 With negative integers, the integer closer to zero is greater.
-5
-4
-3
-2
Greater
A) +3
> -4
B) -200 < +1
C) +5 < +6
D) -5 > -6
-1
0
1
2
3
4
5
E) -10 < -9
F) 0 < +2
Positive integers are always greater than zero.
G) 0 > -2
Zero is greater than all negative integers.
2. Place the integers in order from Least to Greatest.
+8,
-5,
0,
+3,
-6,
-4,
+2
Practice # 2
1. Use a positive or negative integer to represent each situation.
A) Losing $15 -15
B)Throwing a ball 9m straight up +9
C) Seventeen days from now +17
D) An elevator descending 8 floors -8
2. Mark each integer on the number line.
A) +2
B) -7
C) +8
D) -3
0
3. Write the opposite of each integer.
A) +1 → -1
B) +5 → +5
C) -7 → +7
4. Place either > or < between the integers.
A) + 9 >
0
B) +7 >
+2
C) +4
D) -10
<
-1
E) -2
<
+10
F) +2 >
5. Order the integers in each set from greatest to least.
A) +2, +4, -3 (+4,+2,-3)
B) -3, +1, -4 (+1,-3,-4)
C) +2, -7, -18 (+2,-7,-8)
<
+8
-10
Modelling Integers
A) +5 can be represented using 5 positive tiles
Or 6 positive and 1 negative
Because this equals zero
Or 7 positive and 2negative
Because this equals zero
B) -4 can be represented using 4 negative tiles
Show another way to represent -4.
Adding zero pairs to an integer DOES NOT change its value.
C) Complete the table to show three different ways we can represent +2.
Positive Tiles
Positive
Integer
Negative Tiles
Negative
Combine
Integer
Together
+4
-2
+2
+3
-1
+2
+5
-3
+2
D) What is the integer represented by the following tiles?
i)
ii)
Answer