NS2.5 Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers.

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NS2.5 Understand the meaning of the
absolute value of a number interpret the
absolute value as the distance of the number from
zero on a number line and determine the absolute
value of real numbers.
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Vocabulary
integer opposite absolute value
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Integers are the set of whole numbers and their
opposites. Opposites are numbers that are the
same distance from 0 on a number line, but on
opposite sides of 0.
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(No Transcript)
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Additional Example 1A Sports Application
Aarons score is 4, and Felicitys score is 1.
Use lt, gt, or to compare the scores.
Place the scores on the number line.
1 lt 4
1 is to the left of 4.
Felicity's score is less than Aaron's score.
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Additional Example 1B Sports Application
List the golf scores in order from the lowest to
the highest. The scores are 4, 2, 5, and 3.
Use lt, gt, or to compare the scores.
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! Example 1A
Francies score is 2, and Joaquin's score is 3.
Use lt, gt, or to compare the scores.
Place the scores on the number line.
3 lt 2
3 is to the left of 2.
Joaquin's score is less than Francie's score.
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Check It Out! Example 1B
List the golfers scores in order from the lowest
to the highest. The scores are 3, 1, 0, and 2.
Use lt, gt, or to compare the scores.
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 3, 2, 0, and 1.
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Additional Example 2 Ordering Integers
Write the integers 8, 5, and 4 in order from
least to greatest.
Graph the integers on a number line. Then read
them from left to right.
The integers in order from least to greatest are
5, 4, and 8.
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Check It Out! Example 2
Write the integers 4, 5, and 4 in order from
least to greatest.
Graph the integers on a number line. Then read
them from left to right.
The integers in order from least to greatest are
5, 4, and 4.
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A numbers absolute value is its distance from 0
on a number line. Absolute value is always
positive because distance is always positive.
The absolute value of 4 is written as 4.
Opposites have the same absolute value.
4 4
4 4
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Additional Example 3 Simplifying Absolute-Value
Expressions
Simplify each expression.
A. 3
3 is 3 units from 0, so 3 3.
B. 17 6
Subtract first 17 6 11.
17 6 11
Then find the absolute value 11 is 11 units from
0.
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Additional Example 3 Simplifying Absolute-Value
Expressions
Simplify each expression.
C. 8 5
Find the absolute values first 8 is 8 units
from 0. 5 is 5 units from 0. Then add.
8 5 8 5
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D. 5 1 8 6
5 1 6, 8 6 2.
5 1 8 6 6 2
6 is 6 units from 0, 2 is 2 units from 0. Add.
6 2
8
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Check It Out! Example 3
Simplify each expression.
A. 5
5 is 5 units from 0, so 5 5.
B. 12 4
Subtract first 12 4 8.
12 4 8
Then find the absolute value 8 is 8 units from 0.
8
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Check It Out! Example 3
Simplify each expression.
C. 2 9
Find the absolute values first 2 is 2 units
from 0. 9 is 9 units from 0. Then add.
2 9 2 9
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D. 3 1 9 2
3 1 4, 9 2 7.
3 1 9 2 4 7
4 is 4 units from 0, 7 is 7 units from 0. Add.
4 7
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Lesson Quiz
1. At the end of the course, your golf score was
2. Your friends score was 7. Use lt, gt, or
to compare your scores. Write the integers in
order from least to greatest. 2. 17, 26, 23 3.
0, 5, 4 Simplify each expression. 4. 4
2 5. 6 13 7 5
2 lt 7
26, 17, 23
4, 0, 5
6
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