9-3 Adding Integers
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The document provides steps for adding integers using a number line. It explains that to add integers, you start at 0 on the number line and walk the number of steps indicated by the signs and values of the addends. For example, to solve 6 + 10, you walk forward 6 steps for 6 then backward 10 steps for -10, ending at -4. The same process is demonstrated for 2 + 6, ending at +4. Walking in the positive direction for positive numbers and negative direction for negative numbers, while cancelling out opposites, allows you to find the sum.
9-3 Adding Integers
- 1. 9-3 Adding Integers Math Notes Number Sense 2.1
- 2. + - Find 6 + 10
- 3. + - Find 6 + 10 Think of walking on a number line.
- 4. + - Find 6 + 10 Think of walking on a number line. You are ALWAYS facing right and starting at zero (0)
- 5. + - 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
- 6. + - 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
- 7. + - 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.
- 8. + - 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.
- 9. + - 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: Walk backward 10 steps for negative 10.
- 10. + - 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: Walk backward 10 steps for negative 10.
- 11. + - 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: Walk backward 10 steps for negative 10.
- 12. + - 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: Walk backward 10 steps for negative 10. You end up at -4
- 13. + - Find 6 + 10
- 14. + - Find 6 + 10 OR you can draw it out...
- 15. + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives
- 16. + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++
- 17. + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ STEP 2: Draw ten negatives
- 18. + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives
- 19. + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives STEP 3: When you have a + and a -, they cancel each other out.
- 20. + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives STEP 3: When you have a + and a -, they cancel each other out.
- 21. + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives STEP 3: When you have a + and a -, they cancel each other out. ANSWER: What are you left with?
- 22. + - Find 6 + 10 OR you can draw it out... STEP 1: Draw six positives ++++++ - --------- STEP 2: Draw ten negatives STEP 3: When you have a + and a -, they cancel each other out. ANSWER: What are you left with? -4
- 23. - + Find 2 + 6 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
- 24. - + Find 2 + 6 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 backward 2 steps for negative 2.
- 25. - + Find 2 + 6 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 backward 2 steps for negative 2.
- 26. - + Find 2 + 6 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 backward 2 steps for negative 2. STEP 2: Walk forward 6 steps for positive 6.
- 27. - + Find 2 + 6 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 backward 2 steps for negative 2. STEP 2: Walk forward 6 steps for positive 6.
- 28. - + Find 2 + 6 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 backward 2 steps for negative 2. STEP 2: Walk forward 6 steps for positive 6.
- 29. - + Find 2 + 6 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 backward 2 steps for negative 2. STEP 2: Walk forward 6 steps for positive 6. You end up at +4
- 30. - + Find 2 + 6 OR you can draw it out...
- 31. - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives
- 32. - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives --
- 33. - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives -- STEP 2: Draw six positives
- 34. - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives
- 35. - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives STEP 3: When you have a + and a -, they cancel each other out.
- 36. - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives STEP 3: When you have a + and a -, they cancel each other out.
- 37. - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives STEP 3: When you have a + and a -, they cancel each other out. ANSWER: What are you left with?
- 38. - + Find 2 + 6 OR you can draw it out... STEP 1: Draw two negatives - ++ + + + + - STEP 2: Draw six positives STEP 3: When you have a + and a -, they cancel each other out. ANSWER: What are you left with? +4
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