Applications of Negative Numbers & Absolute Value
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Applications of Negative Numbers
&Absolute Value
In
Algebra County
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Zero
Down here, temperatures are negative.
Negative Numbers are found in
weather reports, but not in sunny
Florida!
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There, the stock market went down.
Negative Numbers are found in stock market quotes
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When losing
weight, the weight loss
is a negativenumber.
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The number of feet below
sea level is a
negative number.
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The number of feet below
sea level is a
negative number.
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The number of feet below
sea level is a
negative number.
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The number of feet below
sea level is a
negative number.
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Checks are “subtracted” fromthe bank statement.
Negative Numbers are found
in banking.
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Negative Numbers are found
in Jeopardy scores.
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INALGEBRA COUNTY
ADDING INTEGERS
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If it’s 70 degrees outside, and the temperature gets 10 degrees cooler, how can we write it?
70 10 60
If it’s -10 degrees outside, and the temperature goes down 10 degrees, how can we write it?
10 10 20
A positive added to a negative takes the sign of the largest “number.” We subtract.
If it’s 5 degrees outside, and the temperature gets 10 degrees colder, how can we write it?
5 10 5
A negative added to a negative is a “larger” negative. We add the “numbers.”
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Another way to think of adding positive and negative numbers is by using red and yellow colored counters.
3 53 and -5 2
zero pairs
3 5 -3 and -5 8
No zero pairs
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1. 18 20 22. 11 9 23. 6 5 114. 1 7 85. 2 9 76. 7 5 2
Write these in your notes pages
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INALGEBRA COUNTY
MULTIPLYING INTEGERS
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-5 TIMES 6CAN BE WRITTEN:
-5(6) -5 ·6(-5)(6)
2(3) MEANS:
•2 GROUPS OF 3
•A 2 BY 3 ARRAY
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WE CAN PICTURE 2(3):
THESE AREALL ARRAYS
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WE CAN PICTURE 2(3) AS 2 GROUPS OF 3:
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Which?Group or array?
3 keys on
two key rings
A six-pack of cokesTwo rows of three
kitchen tiles
Two stacks of three books
The chairs
in church
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When we multiply:
Positive X positive =Positive X negative =
Negative X positive =Negative X negative =
+-
-+
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Don’t get confused:
Positive + positive =Positive + negative =
Negative + positive =Negative + negative =
+??
??-
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Negative + positive =??
Why the question marks?
-4+6=2 (positive)
-6+4= -2 (negative)
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Back to multiplication:
-(-3) means: - (-3)1
= 3Negative 1 times negative 3The number 1 is very
important in Algebra County.
Also: -(5) means:- (5) which
is:-5Negative 1 times
51
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Let’s work some multiplication problems:
-2(5) -10=
3(-5) -15=
-4(-2) 8=
- (-6) 6=
-9(-11) 99=
- (-13) 13=