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Transcript
```Add & Subtract Integers
Need two highlighters
Numbers increase in value from left to right
Negative
-5
<
Positive
5
0
Owe
Below
Loss
Debt
Above
Gain
Increase
Write an integer for each situation
Example 1) The diver dove 150 ft. -150
Example 2) The distance between home
and school is 15 miles. 15
Example 3) The customer owes \$600.
-600
Absolute value
Definition - The distance from zero. Distance is always positive
Symbol - Two parallel bars with an integer in between.
X
-X
4 spaces
Find the absolute value of 4 and -4
●
4 = 4
0
●
─4 = 4
─4
4
Give the opposite of each integer
Example 4) 16 - 16 Example 5) -91 91
Example 6) - 6/3 6/3 Example 7) 0
2
0
Find the absolute Value
Example 8) │16│ 16 Example 9) -│10│ - 10
Example 10) │- 6│ 6 Example 11) -│-1│ - 1
use a number line to add integers
+ 3 ++ 2 = 5 or 2 + 3 = 5
Positive sign means to go right.
positive
If there is no sign it is _________
use a number line to subtract integers
to subtract integers – we add the opposite
+ 3–2=
+ 3 + (─ 2) = 1
or
Go right Go left
-2 + 3 = 1
left .
Negative sign means to go _____
Strategy – Highlight positive one color and
negatives a different color
EX 12)
-3 + 2 = -1
EX 13)
-3 ─ 2 = -5
-3 + ─ 2 = -5
Numbers were
subtracted
Different colors
subtract
Numbers were
For larger numbers we can use symbols.
-7 + 12 =
7 Negatives
----
+5
12 Positives
+
+
+
+
+
+
+
+
+
+
+
+
A negative and positive
charge cancel each other
out
Not in Notes
- 7 +12 = 5
+ 7 + 12 = 19
+ 7 +- 12
12 = -5
- 12
12
- 7+
= - 19
Different
Same
subtract
Different subtract
Same
Keep the sign of the larger absolute value
subtracting integers
Signs different - subtract
Final answer will use the sign of
largest absolute value
Double Negative – Add the opposite
─ 7 ─ ( ─12) = ─7 ─+( ─+12 ) = 5
Left 7
Right 12
Sort the following into addition or
subtraction problems
5+6
-5 + 6 -5 –+ (-6)
(6) 5 - 6 -5 - 6
-5 – (+6) 5 + (-6) -5 + (-6)
Essential Question
How are adding and subtracting integers similar?
Notes start here
Date ____________
Numbers _________ in value from left to right
-5
0
5
Write an integer for each situation
Example 4) The diver dove 150 ft.
Example 5) The distance between home
and school is 15 miles.
Example 6) The customer owes \$600.
Absolute value
Definition - The _________ from zero. Distance is always ______
Symbol - ___________ bars with a number in between.
Find the absolute value of 4 and -4
0
Give the opposite of each integer
Example 7) 16
Example 8) -91
Example 9) - 6/3
Example 10) 0
Find the absolute Value
Example 11) │16│
Example 12) -│10│
Example 13) │- 6│
Example 14) -│-1│
use a number line to add integers
Positive sign means to go ______.
If there is no sign it is _________
use a number line to subtract integers
to subtract integers –
Negative sign means to go _____ .
Strategy – Highlight positive one color and
negatives a different color
- 7 +12
7 + 12
7 - 12
- 7 -12
subtracting integers
Signs _______ ____
Signs _________ _________
Final answer will use the sign of
_______ absolute value
Double Negative
─ 7 ─ ( ─12) =
Sort the following into addition or
subtraction problems