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# 9-4 Subtracting Integers

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• ### 9-4 Subtracting Integers

1. 1. 9-4 Subtracting Integers Math Notes Number Sense 2.1
2. 2. + - Find 5 - 3
3. 3. + - Find 5 - 3 Think of walking on a number line.
4. 4. + - Find 5 - 3 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0)
5. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 15. Something to keep in mind, if you choose to draw it out...
16. 16. Something to keep in mind, if you choose to draw it out... You might have to “borrow.”
17. 17. Something to keep in mind, if you choose to draw it out... You might have to “borrow.” Borrow “zero,” “nothing” - Huh?
18. 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. 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. - + + - + - - + - - -
20. 20. + - Find 5 - 3
21. 21. + - Find 5 - 3 STEP 1: Draw ﬁve positives
22. 22. + - Find 5 - 3 +++++ STEP 1: Draw ﬁve positives
23. 23. + - Find 5 - 3 +++++ STEP 1: Draw ﬁve positives FYI: The “-” means subtract, take away... Can you take away 3 negatives?
24. 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. 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. 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. 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. 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. 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. 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. 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. 32. + + Find 6 - 10
33. 33. + + Find 6 - 10 Think of walking on a number line.
34. 34. + + Find 6 - 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0)
35. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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
45. 45. + + Find 6 - 10
46. 46. + + Find 6 - 10 STEP 1: Draw six positives
47. 47. + + Find 6 - 10 ++ + +++ STEP 1: Draw six positives
48. 48. + + Find 6 - 10 ++ + +++ STEP 1: Draw six positives FYI: The “-” means subtract, take away... Can you take away 10 positives?
49. 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. 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. 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. 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. 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. 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 -