Transcript Integers - ElementaryMathematics

Objectives:
1.To learn what is meant by
the word integer.
2. To relate integers to every day
real world situations.
Integers
in the
Number System
Natural numbers
1,2,3,4,…
Whole numbers
0,1,2,3,4,…
Integers
…-2,-1,0,1,2,3,…
Rational numbers
-6,0,-2/3, 25/7, 7 1/12…
Real Numbers
Integers
Judith has a cell phone plan that allows
her to talk 25 anytime minutes.
She uses her cell phone to speak to
Nestor for 15 minutes.
Nestor
She uses it again to talk 20 minutes to
Markus.
How many minutes did Judith talk on her
cell phone?
Judith
Does Judith have minutes left on her
plan?
Why?
Markus
Integers – Real World Connections
35
She uses her cell phone to speak to
Nestor for 15 minutes.
25
She uses it again to talk 20 minutes to
Markus.
15
How many minutes did Judith talk on her
cell phone? 35
How many minutes are left on her plan
(without rollover) or how many minutes
did she go over her allowed minutes? 10 minutes over
How can this number be labeled on the
graph?
30
20
10
5
0
(Free Minutes)
Judith has a cell phone plan that allows
her to talk 25 anytime minutes.
Integers – Real World Connections
Team Peitgen and Team Voss are
playing a game of football.
Team Peitgen throws a pass from their
5 yard line and the pass is
completed for 40 yards.
If their quarterback is sacked and
loses 20 yards, how many total yards
were gained on the two plays
combined?
Integers – Real World Connections
VOSS
PEITGEN
Team Peitgen and Team Voss are
playing a game of football.
Integers – Real World Connections
VOSS
PEITGEN
Team
If their
Peitgen
quarterback
throws aispass
sacked
from
and
their
loses 5
20yard
yards,
linehow
andmany
the pass
totalisyards
did completed
they gain on
forthe
40two
yards.
plays
combined?
Integers – Real World Connections
Ana enters the elevator from the basement of
the parking garage and takes it to the 11th
floor for lecture.
She takes the elevator two floors down for a
workshop.
On what floor will Ana be if she then goes down
seven floors for a snack.
How many flights did she travel in total (up and
down)?
Integers – Real World Connections
Ana enters the elevator from
the basement of the parking
garage and takes it to the
11th floor for lecture.
She takes the elevator two
floors down for a workshop.
12
11
10
9
8
7
6
On what floor will Ana be if she
then goes down seven floors
for a snack.
5
4
3
2
How many flights did she travel
in total (up and down)?
1
B