Download + ADDITION OF SIGNED NUMBERS

ADDITION OF SIGNED NUMBERS
+
+ +
+ - -
(+4) + (-3) = (+1)
ADDITION OF SIGNED NUMBERS
+
+ +
+ - +
-
(+5) + (-2) = (+3)
ADDITION OF SIGNED NUMBERS
+
- +
- (+2) + (-6) = (-4)
-
-
ADDITION OF SIGNED NUMBERS
+
+
- +
- (+3) + (-5) = (-2)
ADDITION OF SIGNED NUMBERS
-
(-3) + (-5) = (-8)
- - -
ADDITION OF SIGNED NUMBERS
----(-4) + (- 2) = (-6)
ADDITION OF SIGNED NUMBERS
+++++
+++++++
(+5) + (+7) =
(+12)
NOW, PRACTICE ADDITION OF SIGNED NUMBERS
(+5) + (+4) =
(+9)
(+10) + (-7) =
(+3)
(-2) + (+8) =
(+6)
(-13) + (-3) =
(-16)
(-9) + (+1) =
(-8)
(-11) + (-7) = (-18)
SUBTRACTION OF SIGNED NUMBERS
COPY - CHANGE - CHANGE
(-5) - (- 2)
Use copy-change-change.
(-5) - (- 2)
(-5) + (+ 2)
(-3)
-Start
- with
- -(-5).Take away (-2).
What’s left?
(-3)
SUBTRACTION OF SIGNED NUMBERS
COPY - CHANGE - CHANGE
(-4) - (- 3)
Use copy-change-change.
(-4) - (- 3)
(-4) + (+ 3)
(-1)
Start with (-4).
Take away (-3).
What’s left?
(-1)
SUBTRACTION OF SIGNED NUMBERS
COPY - CHANGE - CHANGE
(-4) - (+2)
Use copy-change-change.
(-4) - (+2)
(-4) + (-2)
(-6)
-Start+with-(-4).+
Take away (+2).
(You have to insert two
“zeros” to do this!)
What’s left?
(-6)
NOW, PRACTICE SUBTRACTION OF
SIGNED NUMBERS
USE COPY - CHANGE - CHANGE
(+11) - (-6)
Use copy-change-change.
(+11) + (+6)
(+17)
(-12) - (-2)
Use copy-change-change.
(-12) + (+2)
(-10)
(-8) - (+20)
Use copy-change-change.
(-8) + (-20)
(-28)
(+15) - (-4)
Use copy-change-change.
(+15) + (+4)
(+19)
Practice addition of signed numbers
(-19) + (+19) + (-34) = (-34)
-12 + 9 + (-5) =
(-8)
20 + (-15) + (-22) =
(-17)
Practice subtraction of signed numbers
(+5) – (+12 = (-7)
6 – (-16) =
(+22)
-11 – (-7) =
(-4)
-9 – (-10) =
(+1)
MULTIPLICATION OF SIGNED NUMBERS
----
----
----
Start with (-4).
Multiply it by 3. That means that
you will have 3 groups of (-4).
(3)(-4) = (-12)
MULTIPLICATION OF SIGNED NUMBERS
-- -- -- -- -- -- -- -- -- -- -- -- -- -Start with (-7).
Multiply it by 4. That means that
you will have 4 groups of (-7).
(4)(-7) = (-28)
MULTIPLICATION OF SIGNED NUMBERS
+++++ +++++ +++++
+++++ +++++
Start with (+5).
Multiply it by 5. That means that
you will have 5 groups of (+5).
(5)(+5) = (+25)
MULTIPLICATION OF SIGNED NUMBERS
Uh-oh. Now what do we do?
Try looking for a pattern:
3 x (-3) = -9
2 x (-3) = -6
1 x (-3) = -3
0 x (-3) = 0
(-2)(-3) = (+6)
-1 x (-3) = +3
-2 x (-3) = +6
MULTIPLICATION OF SIGNED NUMBERS
Uh-oh. Now what do we do?
Try looking for a pattern:
2 x (-7) = -14
1 x (-7) = -7
0 x (-7) = 0
-1 x (-7) = +7
(-3)(-7) = (+21)
-2 x (-7) = +14
-3 x (-7) = +21
MULTIPLICATION OF SIGNED NUMBERS
HERE ARE THE RULES!
(+) x (+) = (+)
(+) x (-) = (-)
(-) x (-) = (+)
(-) x (+) = (-)
IF THE SIGNS ARE ALIKE, THE
PRODUCT IS POSITIVE.
IF THE SIGNS ARE DIFFERENT, THE
PRODUCT IS NEGATIVE.
NOW PRACTICE MULTIPLICATION
SIGNS ALIKE, PRODUCT IS POSITIVE.
SIGNS DIFFERENT, PRODUCT IS NEGATIVE.
(-5)(-6) = (+30)
(+4)(-10) = (-40)
(+11)(-7) = (-77)
(+8)(+2) = (+16)
DIVISION OF SIGNED NUMBERS
--------------Start with (-15).
Split it into 3 equal sections.
(-15)  (3) =
(-5)
DIVISION OF SIGNED NUMBERS
++++++++++
++++++++++
Start with (+20).
Split it into 4 equal sections.
(+20)  (4) = (+5)
DIVISION OF SIGNED NUMBERS
HERE ARE THE RULES!
(+)  (+) = (+)
(+)  (-) = (-)
(-)  (-) = (+)
(-)  (+) = (-)
IF THE SIGNS ARE ALIKE, THE
QUOTIENT IS POSITIVE.
IF THE SIGNS ARE DIFFERENT, THE
QUOTIENT IS NEGATIVE.
NOW PRACTICE DIVISION
SIGNS ALIKE, QUOTIENT IS POSITIVE.
SIGNS DIFFERENT, QUOTIENT IS NEGATIVE.
(-50)(-25) =
(+2)
(+49) (-7) =
(-7)
(-99) (+9) =
(-11)
(+80) (+20) = (+4)
ABSOLUTE VALUE
ABSOLUTE VALUE IS THE DISTANCE OF
A NUMBER FROM ZERO.
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
The absolute value of -3 is 3.
| -3 | = 3
7
ABSOLUTE VALUE
ABSOLUTE VALUE IS THE DISTANCE OF
A NUMBER FROM ZERO.
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
The absolute value of +3 is 3.
| +3 | = 3
7
ABSOLUTE VALUE
ABSOLUTE VALUE IS THE DISTANCE OF
A NUMBER FROM ZERO.
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
The absolute value of +5 is 5.
| +5 | = 5
7
ABSOLUTE VALUE
ABSOLUTE VALUE IS THE DISTANCE OF
A NUMBER FROM ZERO.
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
The absolute value of -5 is 5.
| -5 | = 5
7
ABSOLUTE VALUE
ABSOLUTE VALUE IS THE DISTANCE OF
A NUMBER FROM ZERO.
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
The absolute value of 0 is 0.
|0| = 0
7
ABSOLUTE VALUE
DISTANCE IS ALWAYS A
POSITIVE NUMBER!!
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
The absolute value of -4 is 4.
| -4 | = 4
7
NOW PRACTICE ABSOLUTE VALUE
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
What is the absolute value of 6?
+6
What is the absolute value of -2?
+2
What is the absolute value of -1?
+1
What is the absolute value of +7?
+7
NOW PRACTICE ABSOLUTE VALUE
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
| +6 | = +6
Absolute value means…
| -2 | = +2
DISTANCE
| -1 | = +1
| +7 | = +7
FROM
ZERO!