1. 94 Subtracting
Integers
Math Notes
Number Sense 2.1
2. + 
Find 5  3
3. + 
Find 5  3
Think of walking on a number line.
4. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
5. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
6. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
7. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 5 steps for positive 5.
8. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 5 steps for positive 5.
9. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 5 steps for positive 5.
STEP 2: The “” sign means turn around.
10. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 5 steps for positive 5.
STEP 2: The “” sign means turn around.
11. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 5 steps for positive 5.
STEP 2: The “” sign means turn around.
STEP 2: Walk backward 3 steps for negative 3.
12. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 5 steps for positive 5.
STEP 2: The “” sign means turn around.
STEP 2: Walk backward 3 steps for negative 3.
13. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 5 steps for positive 5.
STEP 2: The “” sign means turn around.
STEP 2: Walk backward 3 steps for negative 3.
14. + 
Find 5  3
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 5 steps for positive 5.
STEP 2: The “” sign means turn around.
STEP 2: Walk backward 3 steps for negative 3.
You end up at +8
15. Something to keep in mind, if you
choose to draw it out...
16. Something to keep in mind, if you
choose to draw it out...
You might have to “borrow.”
17. Something to keep in mind, if you
choose to draw it out...
You might have to “borrow.”
Borrow “zero,” “nothing”  Huh?
18. Something to keep in mind, if you
choose to draw it out...
You might have to “borrow.”
Borrow “zero,” “nothing”  Huh?
Remember a + and  cancel each other
out leaving “nothing” or “zero.”
19. +
Something to keep in mind, if you
 choose to draw it out...
You might have to “borrow.” +

Borrow “zero,” “nothing”  Huh?
+
Remember a + and  cancel each other
+


out leaving “nothing” or “zero.”
They ﬂoat invisibly waiting for you to use
+ ++
them.
 + + 
+   + 
 
23. + 
Find 5  3
+++++
STEP 1: Draw ﬁve positives
FYI: The “” means subtract, take away...
Can you take away 3 negatives?
24. +
 Find 5  3+ 
+

+++++
STEP 1: Draw ﬁve positives
+
 +

+
FYI: The “” means subtract, take away...

Can you take away 3 negatives?
STEP 2: This is when you “borrow” some +

25. +
 Find 5  3+ 
+

+++++
STEP 1: Draw ﬁve positives
+
 +

+
FYI: The “” means subtract, take away...

Can you take away 3 negatives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
negatives are you supposed to take away? 3
26. Find 5  3+ 
+

+++++
STEP 1: Draw ﬁve positives
+
 + +
 
+
FYI: The “” means subtract, take away...

Can you take away 3 negatives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
negatives are you supposed to take away? 3
27. Find 5  3+ 
+

+++++
STEP 1: Draw ﬁve positives
+
 + + +
 
FYI: The “” means subtract, take away...

Can you take away 3 negatives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
negatives are you supposed to take away? 3
28. Find 5  3+ 
+

+ + + +++
STEP 1: Draw ﬁve positives
+
 + + 
 
FYI: The “” means subtract, take away...
Can you take away 3 negatives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
negatives are you supposed to take away? 3
29. Find 5  3+ 
+

+ + + +++
STEP 1: Draw ﬁve positives
+
 + + 
 
FYI: The “” means subtract, take away...
Can you take away 3 negatives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
negatives are you supposed to take away? 3
STEP 3: NOW, take away 3 negatives. How
many positives are left?
30. Find 5  3+ 
+

+ + + +++
STEP 1: Draw ﬁve positives
+
 + +
FYI: The “” means subtract, take away...
Can you take away 3 negatives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
negatives are you supposed to take away? 3
STEP 3: NOW, take away 3 negatives. How
many positives are left?
31. Find 5  3+ 
+

+ + + +++
STEP 1: Draw ﬁve positives
+
 + +
FYI: The “” means subtract, take away...
Can you take away 3 negatives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
negatives are you supposed to take away? 3
STEP 3: NOW, take away 3 negatives. How
many positives are left? 8
+
32. + +
Find 6  10
33. + +
Find 6  10
Think of walking on a number line.
34. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
35. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
36. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
37. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 6 steps for positive 6.
38. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 6 steps for positive 6.
39. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 6 steps for positive 6.
STEP 2: The “” sign means turn around.
40. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 6 steps for positive 6.
STEP 2: The “” sign means turn around.
41. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 6 steps for positive 6.
STEP 2: The “” sign means turn around.
STEP 2: Walk forward 10 steps for positive 10.
42. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 6 steps for positive 6.
STEP 2: The “” sign means turn around.
STEP 2: Walk forward 10 steps for positive 10.
43. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 6 steps for positive 6.
STEP 2: The “” sign means turn around.
STEP 2: Walk forward 10 steps for positive 10.
44. + +
Find 6  10
Think of walking on a number line.
You are ALWAYS facing right and starting at zero (0)
 10 9 8 7 6 5 4 3 2 1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 + 10
STEP 1: Walk forward 6 steps for positive 6.
STEP 2: The “” sign means turn around.
STEP 2: Walk forward 10 steps for positive 10.
You end up at 4
48. + +
Find 6  10
++ + +++
STEP 1: Draw six positives
FYI: The “” means subtract, take away...
Can you take away 10 positives?
49. +
 Find 6  10 +

+ +
++ + +++
STEP 1: Draw six positives
+
 +

+
FYI: The “” means subtract, take away...

Can you take away 10 positives?
+

STEP 2: This is when you “borrow” some
50. +
 Find 6  10 +

+ +
++ + +++
STEP 1: Draw six positives
+
 +

+
FYI: The “” means subtract, take away...

Can you take away 10 positives?
+

STEP 2: This is when you “borrow” some
FYI: How many do you “borrow?” How many
positives are you supposed to take away? 10, you
need 4 more.
51. + +
Find 6  10
+ + + ++ +
+ +
STEP 1: Draw six positives
+
 + +  
 
FYI: The “” means subtract, take away...
Can you take away 10 positives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
positives are you supposed to take away? 10, you
need 4 more.
52. + +
Find 6  10
+ + + ++ +
+ +
STEP 1: Draw six positives
+
 + +  
 
FYI: The “” means subtract, take away...
Can you take away 10 positives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
positives are you supposed to take away? 10, you
need 4 more.
STEP 3: NOW, take away 10 positives. What
are left with?
53. + +
Find 6  10
STEP 1: Draw six positives
+
    
FYI: The “” means subtract, take away...
Can you take away 10 positives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
positives are you supposed to take away? 10, you
need 4 more.
STEP 3: NOW, take away 10 positives. What
are left with?
54. + +
Find 6  10
STEP 1: Draw six positives
+
    
FYI: The “” means subtract, take away...
Can you take away 10 positives?
STEP 2: This is when you “borrow” some +

FYI: How many do you “borrow?” How many
positives are you supposed to take away? 10, you
need 4 more.
STEP 3: NOW, take away 10 positives. What
are left with? 4

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