Download Which numbers are not integers?

SOL: 6.3/7.1
Name: ______________________________________ Block: ________ Date: _______
What is an integer? Integers are WHOLE numbers and their _____________________.
Integers
The set of whole numbers (positive or negatives).
Circle the INTEGERS: 5, ½, 0.6, 3.8, 1
Positive Integers
An integer that is ________________ than zero. It is located to the
________________ of zero.
Negative Integers
An integer that is _______________than zero. It is located to the
________________ of zero.
Opposite Integers
Two numbers that are an _______________ distance from zero on the
number line. INVERSE
¾ , -7
JUMPS
Absolute Value
The __________________________ from zero on the number line.
Absolute value is ALWAYS ______________________.
Integers can be plotted on a number line:
Negatives
0
Positives
ZERO is NEITHER positive nor negative.
Numbers to the LEFT (
Numbers to the RIGHT(
Absolute Value:
) of zero are NEGATIVE (-).
) of zero are POSITIVE (+).
How many steps away from zero a number is.
The absolute value of a number is always _____________ or _________ .
The grouping symbol for absolute value is ________ around the number.
Example#1: “the absolute value of -8” is written |-8| and has a value of 8.
Example#2: “the absolute value of 0” is written |0| and has a value of 0.
|7| = 7 because 7 is 7 steps away from zero. |-7| = 7 because -7 is 7 steps away from zero.
*The grouping symbol is treated as parenthesis when using order of operations.
Your turn:
5=
9
=
12 – 8 =
2
=
12 =
0=
14
108 =
=
5  9  =
26 + 4 =
12 =
ZERO is NEITHER positive nor negative.
ABSOLUTLEY ALWAYS POSITIVE FROM ZERO!
Identifying integers from a given situation/example.
*Underline or highlight the “hint word” and then add the number and the correct sign.
Examples: “the temperature rose 8 degrees” rose means increase (+) Answer: +8º
1) temperature rose 8º _______________
7) a withdrawal of $23 _______________
2) two inches below normal _______________
8) a 10 yard gain _______________
3) eight degrees below 0 _______________
9) a profit of $9 _______________
4) a loss of 11 yards _______________
10) no gain _______________
5) a deposit of $16 _______________
11) sea level __________
6) elevator ascended 12 floors ______________
12) 10 feet below sea level __________
13) Yesterday morning the temperature was 36 degrees, and then it rose 7 degrees. What was the high
temperature for yesterday? _______________________________
14) You get into an elevator on the 7th floor. The elevator goes down 5 floors, up 12 floors, down 9 floors,
then back up two floors, where you exit the elevator. What floor are you on now? Show 2 methods for
solving for your new location.
15) Circle each value that represents an integer: 7, -2.6, ½, -9
Notes: Integers- Compare, Order and Graph
Name: _________________________________ Block: ________ Date: _______
SOL: 6.3/7.1
Use the number line to compare and order integers.
Think of a number line. What would be a general rule comparing different values on the number
line?
Compare: Use >, < or = to complete each statement.
-4
-3
-3
3
0
1
2
-1
|-7|
7
Order: Order each set of numbers below in either ascending or descending order.
Ascending: ___________________________ Descending: _________________________
A) 7, -2, -3, 0, 10, -1
B) -9, 8, 10, 6 , -8
Ascending:
Descending:
C) -2 , -11 , |11| , |-5|, |-14|, 2 , -10 Increasing: ________________________
D) -9 , -19 , 19 , 99 , -29 , -99 , 29 Ascending:
Graph each integer on a number line and LABEL each point with the corresponding letter.
A) 0,
B) 1,
C), -3
D) -5,
E) -1,
F) 10,
Identify the points on the number line and their opposite.
A
B
C
D
G) -9
E
Number, Opposite
A) _________, _________
Number, Opposite
C) _________, _________
D) _________, _________
E) _________, _________
F
Which number is closer to zero?
A) - 6
B) 9
C) -2
D) 7
Which numbers are not integers?
A) 4.6
B) ¼
C) 20
D) -11
True or False?
The closer the number to zero is always greater.
INTEGER INTRO Classwork
Name: ______________________________________ Block: ________ Date: _______
3
8
5
For each integer given, tell its opposite/inverse.
1) -35 ______
3) +23 ______
2) -250 ______
4) 77
______
5) -1
______
6) -53______
7) 45 ______
8) 2 ______
Use the number line below.
Place a circle ABOVE the number line for each value listed.
Place a star BELOW the number line for the absolute value of each integer.
A) 5
B) – 3
C) 4
D) -6.5
E) -1/4
Write an integer to represent the situation below.
1) sea level _________
2) a withdraw of 42 dollars __________
3) 14 degrees below 0 _________
4) an increase in height of 3 inches________
Write the letter value represented by the point for each letter. Then find its opposite value.
(Each question should have TWO numbers for the answer).
H
K
P
-5
-4
-3
-2
-1
M
0
1
2
5) K
5) ______/_______
6) H
6) ______/_______
7) P
7) ______/_______
3
4
Evaluate the problems below.
8) | 29 | = __________
9) | - 15 | = __________
10) | 9 | – | -2 | = __________
11) | -50 | + | -7 | = __________
12) What is the sum of the
absolute value of -14 and 10?
13) | -30| –| -4 | + | 5 | = __________
Compare using > , < , or =
14) -32
16)
| -9 |
14
|9|
15)
11
-4
17)
-10
-12
Order the following in ascending order.
18)
-8 , 10 , 2 , -13 , -5 , 3
___________________________
19)
-22 , -11 , 11 , 0 , -14 , 22 , -10
___________________________
20)
-9 , -19 , 19 , 99 , -29 , -99 , 29
___________________________
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