Lessons 2.2 and 2.3 Adding and Subtracting Real Numbers

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Transcript Lessons 2.2 and 2.3 Adding and Subtracting Real Numbers

Lessons 2.2 and 2.3
Adding and Subtracting Real
Numbers
3-ways to think of it…
• Number Line
• Rules
• Algebra Tiles
Adding Real Numbers
Examples:
5  2
Number Line:
 3  6
74
Adding Real Numbers
Examples:
5  2
Algebra Tiles:
 3  6
74
Adding Real Numbers
Examples:
Rules:
5  2
 3  6
74
Adding two numbers with the SAME signs…
Add the two numbers together (without paying attention to
the signs), then the sum has the same sign as the sign of
the numbers added.
Adding two numbers with DIFFERENT signs…
Find the difference of the numbers (without paying attention
to the signs), then the sum has the same sign as the larger
number.
Adding Real Numbers… You Try!
 7  5
8  3
39
4  12
 11 5
 15  4
Adding Multiple Real Numbers…
 7  (5  2)
(3  4)  12
8  (3)  (2)
 15  (4)  (7)
Pizzazz with Adding
Worksheet!
Subtracting Real Numbers
Good News…
Subtracting just means add the opposite
Example: 14 – 8 = 14 + (-8)
So… -3 – 5 = -3 + (-5)
And 13 – 16 = 13 + (-16)
And -9 – (-4) = -9 + (+4)
Number Line
You can also think about the number line when
subtracting…
3 2
37
2  (4)
Subtracting Real Numbers
 7  (5)
39
4  12
 11 5
2  13
You try!!!
8  (3)
Subtracting Real Numbers
 8  (7  10)
(1  6)  (8  4)
 258
You try!!!
(15  3)  (4  6)
 3  4  2 1
Pizzazz with Subtracting
Worksheet!
Adding AND Subtracting
 8  (7  10)
(1  6)  (8  4)
 258
You try!!!
(15  3)  (4  6)
 3  4  2 1
Worksheet with Adding AND
Subtracting!
Adding AND Subtracting - Decimals
.8  1 .2
3.8  (7.4)
 9. 3  3. 5
12 .5  16 .9
4.5  (5.8)
You try!!!
 4 .3  5 .9
Adding AND Subtracting – Fractions!
2 5
2 3
1 3
 
 

3 6
5 4
2 4
You try!!!
1  7
   
5  10 
1 1

7 2
5  5
  
9  6
Half-Sheet with Adding and
Subtracting Fractions and
Decimals!