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11-1
11-1Integers
IntegersininReal-World
Real-WorldSituations
Situations
Homework
pp. 604 – 605 3 – 48 mult of 3
Course
Course
11
11-1 Integers in Real-World Situations
Warm Up
Solve each.
1)
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5.32 + 6.95
2) 7 – 2.54
3) 4.2 x 5.48
11-1 Integers in Real-World Situations
Problem of the Day
Four friends are waiting in line at the
amusement park. Jenna is in front of
Kyle. Kyle is behind Gary and in front of
Maggie. Gary is first. In what order are
they waiting?
Gary, Jenna, Kyle, Maggie
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11-1 Integers in Real-World Situations
Review homework from last night
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11-1 Integers in Real-World Situations
Obj. – To learn about integers.
6.NS.7b; 6.NS.7c; 6.NS.7d )
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(6.NS.6a; 6.NS.7a;
11-1 Integers in Real-World Situations
Vocabulary
positive number
negative number
opposites
integer
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11-1 Integers in Real-World Situations
Positive numbers are greater than
0. They may be written with a
positive sign (+), but they are
usually written without it.
Negative numbers are less than 0.
They are always written with a
negative sign (–).
–5
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–4
–3 –2
–1
0
+1 +2
+3 +4
+5
11-1 Integers in Real-World Situations
Integers are the set of all positive and negative
whole numbers and zero.
Opposites
–5
–4 –3 –2
–1
Negative Integers
0 +1 +2 +3 +4 +5
Positive Integers
0 is neither negative nor positive.
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11-1 Integers in Real-World Situations
Example 1: Identifying Positive and Negative
Numbers in the Real World
Name a positive or negative number to represent
each situation.
A. a jet climbing to an altitude of 20,000 feet
B. taking $15 out of the bank
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11-1 Integers in Real-World Situations
Remember!
The set of whole numbers includes zero and the
counting numbers.
{0, 1, 2, 3, 4, …}
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11-1 Integers in Real-World Situations
Example 2: Graphing Integers
Graph each integer and its opposite on a
number line.
A. +2
–5
–4
–3 –2
–1
0
+1 +2
+3 +4
+5
B. –5
–5
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–4
–3 –2
–1
0
+1 +2
+3 +4
+5
11-1 Integers in Real-World Situations
Example 2 continued
Graph each integer and its opposite on a
number line.
C. 0
Zero is its own opposite.
–5
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–4
–3 –2
–1
0
+1 +2
+3 +4
+5
11-1 Integers in Real-World Situations
Remember!
Numbers on a number line increase in
value as you move from left to right.
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11-1 Integers in Real-World Situations
Absolute Value (ABS) – The distance a
number is from zero.
Ex 3) | 7 | =
| -3 | =
| -13 | =
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| (4 x 7) | =
11-1 Integers in Real-World Situations
Lesson Quiz
Name a positive or negative number to
represent each situation.
1. saving $15 +15
2. 12 feet below sea level –12
3. What is the opposite of –6? 6
4. When the Swanton Bulldogs football team
passed the football, they gained 25 yards.
Write an integer to represent this situation.
+25
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