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How do you find the distance between two integers like 6 and -3?
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In this lesson you will learn to determine the distance between integers by examining absolute
value and number lines.
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Let’s ReviewLet’s Review
What’s an integer?
Integers include positive and negative whole numbers as well as 0.
...-3, -2, -1, 0, 1, 2, 3 ...
Non-Examples:
-5.2 0.28 -9.9 4
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Let’s ReviewLet’s Review
What’s distance?
Distance is a measure of how far apart two things are. Distance is always positive.
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Let’s ReviewLet’s Review
What’s absolute value?
Absolute value is a number’s distance from 0.
7-12
| |
-12 = 12 | |7 = 7
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Let’s ReviewA Common Mistake
Using distance and subtraction as synonyms.
6 - 9 = 3
Distance between -5 and 4 is -9.notv
-6 9
-5 4
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Let’s ReviewCore Lesson
9Find the distance between 5 and 14.
5 14Find the distance between -2 and -11.
9
-11 -2
9
5 14
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Let’s ReviewCore Lesson
9
-3 6
Find the distance between 6 and -3.
the distance between -2 and 11 the distance between 5 and 14
9
5 14
9
-11 -2
9
5 14
9
-11 -2
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Let’s ReviewCore Lesson
Distance = Difference
12 = 14 - 2
12 = 2 - 14
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In this lesson you learned to determine the distance between integers by examining absolute
value and number lines.
![Page 11: How do you find the distance between two integers like 6 and -3 ?](https://reader036.vdocuments.site/reader036/viewer/2022070419/56815ab5550346895dc86ae8/html5/thumbnails/11.jpg)
Let’s ReviewGuided Practice
11
Determine the distance between -8 and 3.
-8 3
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Let’s ReviewGuided Practice
6
How many units apart are -4 and -10?
-10 -4
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Let’s ReviewExtension Activities
Think about traveling to a friend’s house and back home. Would you use positive or negative numbers to describe the trip?Write about why you think distance is always positive?
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Let’s ReviewExtension Activities
What do you notice is different about the pairs of numbers in Group A and the pairs of numbers in Group B? Is there anything different about how you find the distance between numbers in each group? Explain why or why not.
Group A Group B
-8 & -15 -9 & 4
16 & 9 30 & -21
23 & 17 16 & -9
-5 & -4 -15 & 8
-2 & -20 5 & -1
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Let’s ReviewQuick Quiz
How many units apart are 18 and -13?
Determine the distance between -20 and -4.