Transcript INTEGERS

INTEGERS
MA.7.1.3 – Describe and solve situations
represented by integers and absolute values.
By: Mr. Imamura
Math Period
Current Date
DEFINITION
INTEGER
A number in the set of positive and negative
whole numbers as well as zero {-2, -1, 0, 1, 2}
POSITIVE NUMBER (natural number)
Any integer greater than zero {1, 2, 3, 4}
NEGATIVE NUMBER
Any integer less than zero {-4, -3, -2, -1}
GENERAL RULES
Addition
– If similar signs, add and use the same sign.
– If different signs, find the difference of the two values
and use the sign of the larger value.
Similar
Different
3 + 4 = 7,
3 + (-4) = -1,
-3 + -4 = -7
-3 + 4 = +1
Subtraction
– Add the opposite of the second number.
– Then follow the rules of addition above.
3 – 4 = change it to 3 + (-4) = -1
3 – (-4) = change it to 3 + (+4) = +7
GENERAL RULES (continued)
Multiplication and Division
Table below applies to both operations.
Positive (x or ÷) Positive = Positive
6 x 3 = 18,
6÷3=2
Positive (x or ÷) Negative = Negative
6 x (-3) = -18
6 ÷ (-3) = -2
Negative (x or ÷) Positive = Negative
-6 x 3 = -18
-6 ÷ 3 = -2
Negative (x or ÷) Negative = Positive
- 6 x (-3) = 18
-6 ÷ -3 = 2
QUESTION #1
UH started a play on their own 35 yard line
but were pushed back 5 yards. On what
yard line are they now?
35 + (-5) = 30 yard line
Started from
Lost on play
Currently at
QUESTION #2
#2. Last week John had $0 when he
borrowed $50 from his parents. This week
John borrowed an additional $35. Right
now how much money does John have?
-$50 - $35 = change to below
-$50 + (-$35) = -$85 dollars
Week 1 Week 2 $ owed for both weeks
CREDITS
Image on Title Slide
http://www.karlscalculus.org
Definition
http://freemathhelp.com/glossary/
glossary.php?word=Integer