Download Why is absolute value always positive?

Today’s lesson . . .
What:
Introduction to integers
Why:
. . . so I can understand integers, identify real-life applications,
compare/order integer numbers, and study the absolute
value of numbers.
How:
. . . by taking accurate notes, putting forth effort on all practice
activities, and scoring an 70% or higher on the IXL assignment.
When comparing two
NEGATIVE numbers,
how do you know
which one is smaller?
Why is absolute value
always positive?
Integer Lab
(teacher will give directions)
What is an integer?
negative
Integers include the _____________________
whole numbers, the positive whole
numbers, and zero.
Real-life Applications:
(brainstorm)
Identifying INTEGERS:
Place the following integers on the below number line:
0
-5
-7
-5.5
9
-5
9.5
0
-7
5
5
-9.9
9
0
Comparing INTEGERS:
Place a > or a < in the following blanks:
>
1) 3_____-1
<
2) -5_____0
<
3) -9_____-9.5
4) -7.2_____-7
>
Comparing INTEGERS:
Place a > or a < in the following blanks:
1) -42_____4
<
2) -5.9_____-6
3) -9.1_____-9
4) 0_____-10
>
<
>
Ordering INTEGERS:
TOGETHER – Write the following integers in DESCENDING order:
-25
15
0
-1
-4 -1.5
15, 0, -1, -1.5, -4, -25
Ordering INTEGERS:
YOUR TURN – Write the following integers in ASCENDING order:
-12.5 -3
-21
15
-12
-6
-21, -12.5, -12, -6, -3, 15
You can use the
number line to help
you put them in order!
What is ABSOLUTE VALUE?
Absolute Value measures the distance from zero on a number line.
Absolute value is ALWAYS positive because distance ALWAYS has value.
Modeling Absolute Value:
TOGETHER – Model −𝟑. 𝟓 on the below number line:
0
What other number also has an absolute value of “3.5” ? _____
YOUR TURN – Model 𝟕. 𝟓 on the below number line:
0
What other number also has an absolute value of “7.5” ? _____
Identifying Absolute Value:
TOGETHER – Place a point on the number(s) with an absolute
𝟕
value of
𝟐
Change to a
mixed # !
on the below number line:
0
YOUR TURN – Place a point on the number(s) with an absolute
𝟓
value of
𝟐
Change to a
mixed # !
on the below number line:
0
We’re about to “evaluate,” so remember. . .
TOGETHER - Evaluate:
1)
2)
|-4|
|9.5|
4
3)
3
|- /4|
3/
4
9.5
5)
4)
Absolute value
is ALWAYS POSITIVE!
6)
|8+3|
- |15|
- |-28 |
11
-15
-28
YOUR TURN - Evaluate:
1)
2)
1
|6|
|5 |
Absolute value
is ALWAYS POSITIVE!
3)
|-7.2|
5
𝟏
5𝟓
6
5)
4)
7.2
6)
-|2x4|
- |-9|
- |8|
-8
-9
-8
Wrap-it-up (summary):
When comparing two NEGATIVE numbers,
how do you know which one is smaller?
Give an example.
The one that is farthest to the left
on the number line is smaller.
EXAMPLE: -8 is smaller than -6 because it is
farther to the left on the number line.
OR…
The one that is the MOST negative is smaller.
EXAMPLE: -8 is smaller than -6 because it is more negative.
Wrap-it-up (summary):
Why is absolute value always positive?
Because absolute value shows distance from zero
and distance always has value.
IXL,
th
7 ,
B.3 & B.6
(smart score of 70 or more)
Spend at least 10 minutes practicing!