Download Integers and Absolute Value

Name:________________________________________________________________________________Date:_____/_____/__________
Evaluate the following ADDITION problems:
1. 25 + (-3) =
2) -4 + (-26) =
3) -82 + 2 =
4) -8 + (-100) =
5) 12 + (-42) =
Evaluate the following SUBTRACTION problems:
6) 8 – 20 =
7) -26 – 6 =
8) 9 – (-4) =
9) -2 – (-18) =
10) -14 – 7 =
Evaluate the following MULTIPLICATION problems:
11) 3 • (-6) =
12) -9 • 4 =
13) -5 • (-7) =
14) -8 • 8 =
15) -2 • (-50) =
Evaluate the following DIVISION problems:
16)
100
−2
=
17)
−49
−7
=
18)
−30
5
=
19)
90
−10
=
20)
BONUS: There are 28 doughnuts. If there are 7 officers, how many
doughnuts does each officer get?
Teacher will show video to show “answer.”Video
−12
−4
=
What’s in the Mailbox
Integer Lab
(teacher will give directions)
Today’s lesson . . .
What:
Introduction to integers
Why:
To introduce integers, identify real-life
applications, compare/order integer
numbers, and study the absolute
value of numbers.
What is an integer?
negative
Integers include the _____________________
whole numbers, the positive whole
numbers, and zero.
Real-life Applications:
Identifying positive/negative
numbers:
Place the following numbers on the below
number line:
0
-5
-3 ½ 0.5 -0.5 -41/4
0
9.5 -8.5
Comparing positive /negative numbers:
Place a > or a < in the following blanks:
> -8
5 _____
< 0
-1 _____
< -5.5 -3 _____
> - 3.75
-6 _____
-1/
2
> -1
_____
< -9
-10 _____
Ordering positive/ negative Numbers:
Order the following from least to great:
-1/
-25
3
0
-4.5 51/4
2
1.
-25, -4.5, -1/2 , 0,
3, 5 ¼
Order the following from greatest to
least:
-8
-9
-8.5
7
-7.5
-7
2.
7,
-7,
-7.5,
-8,
-8 .5,
-9
Absolute value:
distance
Absolute Value measures ___________________
zero
from ________________
on a number line.
positive
Absolute value is ALWAYS __________________
because distance ALWAYS has value!!
The SYMBOL for
ABSOLUTE VALUE
is | | !
Example: Model the absolute value of 3
(|3|) on the below number line:
0
Evaluate:
|9|
| -4|
9
4
- |- 28|
|-6| + | 5|
- 28
11
-|15|
-15
|-3/4|
¾
|15 - 16| |12 - 14|
1
2
WHY IS ABSOLUTE VALUE ALWAYS POSITIVE??
Because distance ALWAYS has value!!
END OF LESSON
The next slides are student copies of the notes for this
lesson. These notes were handed out in class and
filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow
represent the homework assigned for that day.
Math-7 NOTES
NAME:
DATE: ______/_______/_______
What: Introduction to integers
Why: To introduce integers, identify real-life applications, compare/order integer
numbers, and study the absolute value of numbers.
What is an integer?
Integers include the _______________________________ whole numbers, the
positive whole numbers, and zero.
Real-life Applications:
Identifying positive/negative numbers:
Place the following numbers on the below number line:
0
-5
-3 ½
0.5
- 0.5
-4 1/4
9.5
-1/
2
_____ -1
0
Comparing positive /negative numbers:
Place a > or a < in the following blanks:
5 _____ -8
-1 _____ 0
-6 _____ -5.5
-3 _____ - 3.75
-10 _____ -9
-8.5
Ordering positive/ negative Numbers:
Order the following from least to great:
-25
3
0
-1/
2
-4.5
51/4
-7.5
-7
1.
Order the following from greatest to least:
-8
-9
-8.5
7
2.
Absolute value:
Absolute Value measures _____________________ from ________________
on a number line. Absolute value is ALWAYS ______________________ because
distance ALWAYS has value.
Example: Model the absolute value of 3 (|3|) on the below number line:
Evaluate:
|9|
| -4|
- |15|
|-3/4|
- |-28|
|-6| + |5|
|15 - 16|
|12 - 14|
NAME:________________________________________________________________DATE: _____/_____/__________
Homework/ Practice
“Integers and Absolute Value”
Place the following numbers on the number line:
-2
-6
1
5
9
-7
-4
½
-2.5
-3.2
6.75
-8.1
-1/3
0.9
O
Fill in the blank with < > or = :
1) 10 ______ 12
2) 0 ______ -12
3) 1/3 ______ 25%
4)
5)
6) -15 ______ -15.1
-5 ______ -5.5
-2 ______ -1.2
Absolute Value:
7) Absolute value measures a number’s ________________________________ from zero
on a number line.
8) Because absolute value is a measure of distance, it is always ____________________
because distance always has value.
9) Model the absolute value of “-6” ( |-6|) on the below number line:
O
10) |-9| =
11) |25| =
12) |-258| =
13) - |923| =
14) |- 0.25 | =
15) |0| =
16) |-9| + | 8 - 10| =
17)
18) |-5| + |-12| =
- |-250| =
. . . continued