Transcript Integers & Absolute Value

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Objective
Graph integers on a number line
and
Find the absolute value
Vocabulary
Negative number
A number less than zero
Vocabulary
Integer
Negative and positive whole numbers and zero
Note: zero is neither positive or negative
Vocabulary
Coordinate
The point named by the integer on a number line
Vocabulary
Inequality
A sentence that compares 2 different numbers
or quantities
-5 < 4
-5 is less than 4
4 > -5
4 is greater than -5
Vocabulary
Absolute Value
The distance the number is from zero
|4| = 4
|-4| = 4
Words that
represent negative
Words that
represent positive
Tax
Profit
Discount
Above
Below
On top
Under
Gain
Loss
Above par (golf)
Under par (golf)
Example 1 Write Integers for Real-Life Situations
Example 2 Write Integers for Real-Life Situations
Example 3 Compare Two Integers
Example 4 Compare Two Integers
Example 5 Order Integers
Example 6 Expressions with Absolute Value
Example 7 Expressions with Absolute Value
Example 8 Expressions with Absolute Value
Write an integer to represent a
35 ¢ discount
discount.
Write problem
Look at the descriptive word to
determine whether the integer is
positive or negative
- 35
Discount refers to a decrease
which is a negative integer
Write integer with negative sign
Answer:
–35
1/8
Write an integer to represent a
Answer:
tax.
–25
1/8
Write an integer for the expression a fever of 4 degrees
above normal.
4 degrees above normal
Write problem
Look at the descriptive word to
determine whether the integer is
positive or negative
+4
Above refers to an increase
which would be a positive
integer
Write integer with positive sign
Answer:
+4
2/8
Write an integer for the expression a loss of 10 yards
in football.
Answer:
- 10
2/8
Replace  with <, >, or = to make –3  3 a true
sentence.
-3
<
3
Write problem
Remember: Negative numbers
are always smaller than positive
numbers
So -3 is less than 3
The “alligator” eats the big
number! : )
Answer: –3 < 3
3/8
Replace  with <, >, or
sentence.
to make –2  2 a true
Answer: –2 < 2
3/8
Replace  with <, >, or
sentence.
-2
<
-1
to make –2  –1 a true
Write problem
Remember: negative numbers
get smaller as the number looks
larger
So -2 is less than -1
The “alligator” eats the big
number! : )
Answer: –2 < –1
4/8
Replace  with <, >, or
sentence.
to make –4  –6 a true
Answer: –4 > –6
4/8
FOOTBALL The table below shows the number of yards
rushing for several players on a football team during
one game. Order these statistics from least to greatest.
Player
Yards
Rushing
Marty
7
Autry
4
Shane
5
Brad
–6
Glyn
3
Jim
–9
Graph each integer on a number line.
5/8
Player
Draw number line
Plot the 7
Plot the 4
Plot the 5
Plot the - 6
Plot the 3
Plot the - 9
Yards
Rushing
Marty
7
Autry
4
Shane
5
Brad
–6
Glyn
3
Jim
–9
Write the numbers as they appear from left to right.
Answer:
–9, –6, 3, 4, 5, 7
5/8
WEATHER The table below shows the temperatures
for several cities on January 31, 2000. Order these
statistics from least to greatest.
City
Answer:
Temp. on Jan. 31,
2000 (°F)
Kahului, HI
83
Homestead, FL
81
Buckland, AK
–54
W. Yellowstone, MT
–30
-54, -30, 81, 83
5/8
Evaluate
 5
5
Write problem
The absolute value signs are
considered enclosures
Ask: How far is 5 away from 0
on the number line?
Answer: 5
6/8
Evaluate
Answer: 3
6/8
Write problem
Evaluate
 6 -  -5 
6 - 5
1
Follow Order of Operations Rules
P
E
MD
AS
The absolute value signs are
considered enclosures
Ask: How far is 6 from 0 on the
number line?
Bring down Ask: How far is -5 from 0 on
the number line?
Subtract 6 - 5
Answer: 1
7/8
Evaluate
.
Answer: 3
7/8
Write problem
Evaluate
 x + 13
 -4 + 13
4 + 13
17
Replace x with -4
Follow Order of Operations Rules
P
E
MD
AS
The absolute value signs are
considered enclosures
Ask: How far is -4 from 0 on the
number line?
Bring down + 13
Add 4 + 13
Answer: 17
8/8
*
Evaluate
Answer: 9
8/8
Assignment
Lesson 1:3
Integers & Absolute Value
15 - 48 All