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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 Presentation
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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.
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
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.
Let’s ReviewLet’s Review
What’s distance?Distance is a measure of how far apart two things
are. Distance is always positive.
Let’s ReviewA Common Mistake
Thinking that difference is always positive.
3 - 8 = 5-3 - 8 = (-5)
Let’s ReviewCore Lesson710-3
3 106 - (-9)
9
-14 -5
-5 - (-14)
15
-9 6
Minuend - Subtrahend = Difference
Let’s ReviewCore Lesson73 - 10
3 10-9 - 6
9
-14 -5
-14 - (-5)
15
-9 6
-
-
-
Minuend - Subtrahend = Difference
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
In this lesson you learned to subtract integers by using the
difference definition of subtraction on a number line.
Let’s ReviewGuided Practice
13 - (-5)Simplify 13 - (-5) and -5 - 13.
-5 - 13-5 13
-5 13
Let’s ReviewGuided Practice
4 - 10
Determine the difference: 4 - 10
Let’s ReviewExtension Activities
Think about the meaning of the words difference and distance in mathematics. Compare and contrast these words.
Difference Distance
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)
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
Let’s ReviewQuick Quiz
Simplify 1 - (-8).
Determine the difference: 9 - 15.