Integers and Absolute Value

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Integers and Absolute Value
Warm Up
Problem of the Day
Lesson Presentation
Course 3
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Warm Up Evaluate each expression for the given
values of the variables. 1. 2x 3y for x 17
and y 6 2. 5(x 3) 4y for x 3 and y 2 3.
6.9(x 2.7) 7.1 for x 5.1 4. 5x 4y for x
0.3 and y 0.2
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38
23.66
0.7
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Problem of the Day Janies score is 3 times the
sum of 1 and Marias score on the final exam.
Maria scored 12 points. Whose score is highest?
Janie
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Learn to compare and order integers and to
evaluate expressions containing absolute value.
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Vocabulary
integer opposite additive inverse Absolute value
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Integers are the set of whole numbers and their
opposites. On a number line, opposites, or
additive inverses, are numbers that are the same
distance from 0, but on opposite sides of 0 on
the number line.
Course 3
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(No Transcript)
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Additional Example 1A Sports Application
Use lt, gt, or to compare the scores.
Aarons score is 4, and Felicitys score is 1.
Place the scores on the number line.


1 lt 4
1 is to the left of 4.
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Additional Example 1B Sports Application
Use lt, gt, or to compare the scores.
List the golf scores in order from the lowest to
the highest. The scores are 4, 2, 5, and 3.
Place the scores on the number line and read them
from left to right.




In order from the lowest score to the highest
score, the scores are 4, 3, 2, and 5.
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Check It Out Additional Example 1A
Use lt, gt, or to compare the scores.
Frances score is 2, and Juaqins score is 3.
Place the scores on the number line.


3 lt 2
3 is to the left of 2.
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Check It Out Additional Example 1B
Use lt, gt, or to compare the scores.
List the golfers scores in order from the lowest
to the highest. The scores are 3, 1, 0, and 2.
Place the scores on the number line and read them
from left to right.




In order from the lowest score to the highest
score, they are 3, 2, 0, and 1.
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Additional Example 2 Ordering Integers
Write the integers 8, 5, and 4 in order from
t least to greatest.
Compare each pair of integers.
8 gt 5, 8 gt 4, and 5 lt 4
5 is less than both 4 and 8.
5, 4, and 8.
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Check It Out Additional Example 2
Write the integers 7, 12, and 13 in order from
least to greatest.
Compare each pair of integers.
13 gt 12, 13 gt 7, and 12 lt 7
12 is less than both 7 and 13.
12, 7, and 13.
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Both 4 and 4 are 4 units from 0.
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Additional Example 3 Finding Additive Inverses
Find the additive inverse of each integer.
A. 6
6 is the same distance from 0 as 6 is on the
number line.
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B. 14
14
14 is the same distance from 0 as 14 is on the
number line.
C. 0.5
0.5
0.5 is the same distance from 0 as 0.5 is on the
number line.
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Check It Out Additional Example 3
Find the additive inverse of each integer.
A. 12
12 is the same distance from 0 as 12 is on the
number line.
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B. 1.9
1.9
1.9 is the same distance from 0 as 1.9 is on the
number line.
C. 1
1
1 is the same distance from 0 as 1 is on the
number line.
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Additional Example 4 Evaluating Absolute-Value
Expressions
Evaluate each expression.
A. 8 5
8 is 8 units from 0.
5 is 5 units from 0.
8 5 13
B. 5 6
1 is 1 units from 0.
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Check It Out Additional Example 4
Evaluate each expression.
A. 2 -9
2 is 2 units from 0.
9 is 9 units from 0.
2 9 11
B. 1 1
0 is 0 units from 0.
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Lesson Quiz
Write the integers in order from least to
greatest. 1. 17, 26, 23 2. 0, 5, 4 Evaluate
each expression. 3. The sum of 3 and the
additive inverse of 8 4. 4 2 5. At
the end of the course, your golf score was 2.
Your friends score was 7. What is the difference
between your scores?
26, 17, 23
4, 0, 5
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-2
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