Download File

WELCOME TO …
Adding
Integers
InPA
APA
CPM
DL
IPM
23
34
-12
-4
6
Adding Integers!
What is an
integer???
ANSWER
Any whole number. It can be
positive or negative.
Examples:
2, -5, 245, 0, 9, -1,399
How do we add positive
and negative integers?
Think in terms of number chips
Example: We can think of 4 as
four positive chips
+4
How do we add positive
and negative integers?
Think in terms of number chips
Another example: We can think
of -3 as three negative chips
-3
How do we add positive
and negative integers?
Think in terms of number chips
Another example: We can think
of -8 as eight negative chips
-8
How do we add positive
and negative integers?
Think in terms of number chips
Another example: We can think
of 6 as six positive chips
+6
Let’s do an example!
4+7
Use number chips!
+4
+7
ANSWER
11
Let’s do an example!
3+6
Use number chips!
+3
+6
ANSWER
9
Let’s do an example!
-3 + (-5)
Use number chips!
-3
-5
ANSWER
-8
Let’s do an example!
-6 + (-5)
Use number chips!
-6
-5
ANSWER
-11
4 + 7 = 11
3+6=9
-3 + (-5) = -8
-6 + (-5) = -11
What are the signs of the addends?
What is the sign of the sum?
In adding integers with same
add the numbers and
sign, ___
sign
copy the ____.
Let’s do an example!
-2 + 5
Use number chips!
-2
+5
One negative chip
and one positive
chip cancel!
ANSWER
3
Let’s do an example!
-8 + 5
Use number chips!
-8
+5
One negative chip
and one positive
chip cancel!
ANSWER
-3
Let’s do an example!
3 + (-5)
Use number chips!
+3
-5
One negative chip
and one positive
chip cancel!
ANSWER
-2
Let’s do an example!
9 + (-5)
Use number chips!
+9
-5
One negative chip
and one positive
chip cancel!
ANSWER
4
-2 + 5 = 3
-8 + 5 = -3
3 + (-5) = -2
9 + (-5) = 4
Are the signs of the addends different?
What is the sign of the bigger number?
What is the sign of the sum?
Are the signs of the bigger number and
the sum are the same?
In adding integers with different
sign, subtract
______ the numbers and copy
bigger number.
the sign of the _____
-3 + (-8)
Number Chips!
-3
-8
ANSWER
-11
4 + (-5)
Number Chips!
+4
-5
ANSWER
-1
-3 + 9
Number Chips!
-3
+9
ANSWER
6
Do the numbers have the same sign?
No
Yes
Subtract the
smaller number
from the larger
number
Add the numbers
together
Final answer is
negative
- is bigger
Answer
= What
sign?
Is the positive or
negative number
larger?
Final answer is
positive
+ is bigger
28 + 63
1. We are adding and
the numbers have the
same signs
2. Add:
28 + 63 = 91
ANSWER:
91
(-12) + 34
1. We are adding and
the numbers have
different signs
2. Subtract:
34 – 12 = 22
3. 34 is larger than 12
4. Since 34 is larger,
and positive, the
answer will be
positive
ANSWER:
22
24 + (-42)
1. We are adding and
the numbers have
different signs
2. Subtract:
42 – 24 = 18
3. 42 is larger than 24
4. Since 42 is larger,
and negative, the
answer will be
negative
ANSWER:
-18
-64 + 39
1. We are adding and
the numbers have
different signs
2. Subtract:
64 – 39 = 25
3. 64 is larger than 39
4. Since 64 is larger,
and negative, the
answer will be
negative
ANSWER:
-25
83 + (-46)
1. We are adding and
the numbers have
different signs
2. Subtract:
83 – 46 = 37
3. 83 is larger than 46
4. Since 83 is larger,
and positive, the
answer will be
positive
ANSWER:
37
57 + (-74)
1. We are adding and
the numbers have
different signs
2. Subtract:
74 – 57 = 17
3. 74 is larger than 57
4. Since 74 is larger,
and negative, the
answer will be
negative
ANSWER:
-17
-132 + 231
1. We are adding and
the numbers have
different signs
2. Subtract:
231 – 132 = 99
3. 231 is larger than
132
4. Since 231 is
larger, and positive,
the answer will be
positive
ANSWER:
99
Karaoke Time!
Addition Rule: Sung to the tune of “Row, row, row, your boat”
Same signs add and keep,
different signs subtract,
keep the sign of the bigger number,
then you’ll be exact!
Find the sum:
1] 1 + 4
2] (-2) + (-7)
3] 5 + (-3)
4] (-2) + 6
5] 4 + (-10)
6] 4 + 3
7] (-4) + (-8)
5
= _____
-9
= _____
2
= _____
= _____
4
= _____
-6
7
= _____
-12
= _____
Credits
• http://www.slideshare.net/aeherzog/adding
-integers-ppt