2-1 Properties of Addition
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The document discusses three properties of addition: 1) The associative property - The grouping of addends does not change the sum 2) The commutative property - The order of addends does not change the sum 3) The identity property - Adding 0 to a number does not change the number It provides examples of applying each property to demonstrate that the sum is unchanged regardless of grouping or order of addends.
2-1 Properties of Addition
- 1. 2-1 Addition Properties Math Notes Algebra and Functions 1.2
- 5. Three Properties Associative Property Commutative Property Identity Property
- 7. Associative Property The way in which addends are grouped does not change the sum.
- 8. Associative Property The way in which addends are grouped does not change the sum. When you see ( ) parentheses, do the work within the ( ) first.
- 9. Associative Property The way in which addends are grouped does not change the sum. When you see ( ) parentheses, do the work within the ( ) first. (2 + 3) + 4 =
- 10. Associative Property The way in which addends are grouped does not change the sum. When you see ( ) parentheses, do the work within the ( ) first. (2 + 3) + 4 = 5+4=
- 11. Associative Property The way in which addends are grouped does not change the sum. When you see ( ) parentheses, do the work within the ( ) first. (2 + 3) + 4 = 5+4= 9
- 12. Associative Property The way in which addends are grouped does not change the sum. When you see ( ) parentheses, do the work within the ( ) first. (2 + 3) + 4 = 5+4= 9 2 + (3 + 4) =
- 13. Associative Property The way in which addends are grouped does not change the sum. When you see ( ) parentheses, do the work within the ( ) first. (2 + 3) + 4 = 5+4= 9 2 + (3 + 4) = 2+7=
- 14. Associative Property The way in which addends are grouped does not change the sum. When you see ( ) parentheses, do the work within the ( ) first. (2 + 3) + 4 = 5+4= 9 2 + (3 + 4) = 2+7= 9
- 16. Commutative Property The order in which numbers are added does not change the sum.
- 17. Commutative Property The order in which numbers are added does not change the sum. 18 + 9 =
- 18. Commutative Property The order in which numbers are added does not change the sum. 18 + 9 = 27
- 19. Commutative Property The order in which numbers are added does not change the sum. 9 + 18= 27
- 20. Commutative Property The order in which numbers are added does not change the sum. 9 + 18= 27 2 + 3=
- 21. Commutative Property The order in which numbers are added does not change the sum. 9 + 18= 27 2 + 3= 5
- 22. Commutative Property The order in which numbers are added does not change the sum. 9 + 18= 27 3 + 2= 5
- 24. Identity Property When 0 is added to any number, the sum is that number.
- 25. Identity Property When 0 is added to any number, the sum is that number. 18 + 0 = 18
- 26. Identity Property When 0 is added to any number, the sum is that number. 18 + 0 = 18 n+0=n
- 27. Name the property used.
- 28. Name the property used. 76 + 0 = 76
- 29. Name the property used. 76 + 0 = 76 76 + 17 = 17 + 76
- 30. Name the property used. 76 + 0 = 76 76 + 17 = 17 + 76 (6 + 4) + 8 = 6 + (4 + 8)
- 31. Name the property used. Identity Property See the zero? 76 + 0 = 76 76 + 17 = 17 + 76 (6 + 4) + 8 = 6 + (4 + 8)
- 32. Name the property used. Identity Property See the zero? 76 + 0 = 76 Commutative See the numbers 76 + 17 = 17 + 76 switched? (6 + 4) + 8 = 6 + (4 + 8)
- 33. Name the property used. Identity Property See the zero? 76 + 0 = 76 Commutative See the numbers 76 + 17 = 17 + 76 switched? (6 + 4) + 8 = 6 + (4 + 8) Associative Property 6 + 4 is added first and 4 + 8 was added first Sum did not change.