how do you subtract -14 - (-5) and how does that relate to distance ?
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How do you subtract -14 - (-5) and how does that relate to distance ?. In this lesson you will learn to subtract integers by using the difference definition of subtraction on a number line. What’s an integer?. Integers include positive and negative whole numbers as well as 0. - PowerPoint PPT PresentationTRANSCRIPT
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How do you subtract -14 - (-5) and how does that relate to distance?
![Page 2: How do you subtract -14 - (-5) and how does that relate to distance ?](https://reader034.vdocument.in/reader034/viewer/2022051020/56816358550346895dd41057/html5/thumbnails/2.jpg)
In this lesson you will learn to subtract integers by using the
difference definition of subtraction on a number line.
![Page 3: How do you subtract -14 - (-5) and how does that relate to distance ?](https://reader034.vdocument.in/reader034/viewer/2022051020/56816358550346895dd41057/html5/thumbnails/3.jpg)
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 subtraction?Subtraction is the opposite of addition.
15 - 3 = 12
minuend subtrahend difference
It can be seen as the process of taking away or finding the difference between two numbers.
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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 ReviewA Common Mistake
Thinking that difference is always positive.
3 - 8 = 5-3 - 8 = (-5)
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Let’s ReviewCore Lesson710-3
3 106 - (-9)
9
-14 -5
-5 - (-14)
15
-9 6
Minuend - Subtrahend = Difference
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Let’s ReviewCore Lesson73 - 10
3 10-9 - 6
9
-14 -5
-14 - (-5)
15
-9 6
-
-
-
Minuend - Subtrahend = Difference
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Let’s ReviewCore Lesson710-3
3 106 - (-9)
9
-14 -5
-5 - (-14)
15
-9 6
Minuend - Subtrahend = Difference73 - 10
3 10-9 - 6
9
-14 -5
-14 - (-5)
15
-9 6
-
-
-
Minuend - Subtrahend = Difference
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In this lesson you learned to subtract integers by using the
difference definition of subtraction on a number line.
![Page 11: How do you subtract -14 - (-5) and how does that relate to distance ?](https://reader034.vdocument.in/reader034/viewer/2022051020/56816358550346895dd41057/html5/thumbnails/11.jpg)
Let’s ReviewGuided Practice
13 - (-5)Simplify 13 - (-5) and -5 - 13.
-5 - 13-5 13
-5 13
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Let’s ReviewGuided Practice
4 - 10
Determine the difference: 4 - 10
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Let’s ReviewExtension Activities
Think about the meaning of the words difference and distance in mathematics. Compare and contrast these words.
Difference Distance
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Let’s ReviewExtension Activities
Fill out the following table. Then, describe how the A/B problem pairs relate in terms of difference and distance.
Problem A DifferenceDistance Between Integers
Ex: 5 - (-3) 8 8 13 - 8 -19 - (-4) -6 - 10
Problem B DifferenceDistance Between Integers
-3 - 5 -8 88 - 13
-4 - (-19)10 - (-6)
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Let’s ReviewExtension Activities
In addition, the commutative property says that order doesn’t mater. Examine how order affects subtraction with these problems. What do you notice?
15 - 7 & 7 - 155 - (-14) & -14 - 5 .
-8 - 9 & 9 - (-8)-16 - (-6) & -6 - (-16)
22 - 22 & 22 - 22
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Let’s ReviewQuick Quiz
Simplify 1 - (-8).
Determine the difference: 9 - 15.