101 Properties Real Numbers Part 1
6 likes1,244 views
This document outlines several basic properties of real numbers: 1) Commutative properties - addition and multiplication are commutative, but subtraction and division are not 2) Associative properties - addition and multiplication are associative 3) Distributive property - multiplication distributes over addition and subtraction 4) Identity properties - adding or multiplying a number by 0 or 1 does not change the number 5) Inverse properties - adding or multiplying the inverse of a number results in the identity 6) Equality properties - if two numbers are equal, operations performed on them result in equal numbers
101 Properties Real Numbers Part 1
- 1. Basic Properties of Real Numbers Rules that real numbers follow 10/25/09 Algebra 1.1 Bitsy Griffin
- 2. Essential Question What are the basic properties of real numbers? 10/25/09 Algebra 1.1 Bitsy Griffin
- 3. Commutative 10/25/09 Algebra 1.1 Bitsy Griffin
- 4. Commutative Addition a+b+c=c+a+b 45+98+15=15+98+45 10/25/09 Algebra 1.1 Bitsy Griffin
- 5. Commutative Multiplication a x b x c = c x a x b 25 x 21 x 4 = 4 x 25 x 21 10/25/09 Algebra 1.1 Bitsy Griffin
- 6. Commutative Caution! Works with + & x Not with - & / 10/25/09 Algebra 1.1 Bitsy Griffin
- 7. Associative 10/25/09 Algebra 1.1 Bitsy Griffin
- 8. Associative Addition (a + b) + c = a + (b + c) (8 + 7) + 3 = 8 + (7 + 3) 10/25/09 Algebra 1.1 Bitsy Griffin
- 9. Associative Multiplication (a x b) x c = a x (b x c) (6 x 4) x 5 = 6 x (4 x 5) 10/25/09 Algebra 1.1 Bitsy Griffin
- 10. Distributive 10/25/09 Algebra 1.1 Bitsy Griffin
- 11. Distributive Addition a(b + c) = ab + ac 4(2x + 5) = 8x + 20 10/25/09 Algebra 1.1 Bitsy Griffin
- 12. Distributive Subtraction a(b + c) = ab + ac 4(4x - 2) = 16x - 8 10/25/09 Algebra 1.1 Bitsy Griffin
- 13. Identity 10/25/09 Algebra 1.1 Bitsy Griffin
- 14. Identity Addition a + 0 = a 5 + 0 = 5 10/25/09 Algebra 1.1 Bitsy Griffin
- 15. Identity Multiplication a x 1 = a 9 x 1 = 9 10/25/09 Algebra 1.1 Bitsy Griffin
- 16. Zero Property 10/25/09 Algebra 1.1 Bitsy Griffin
- 17. Zero Property Multiplication a x 0 = 0 8 x 0 = 0 10/25/09 Algebra 1.1 Bitsy Griffin
- 18. Inverse 10/25/09 Algebra 1.1 Bitsy Griffin
- 19. Inverse Addition a + -a = 0 7 + - 7 = 0 10/25/09 Algebra 1.1 Bitsy Griffin
- 20. Inverse Multiplication a x 1/a = 1 3 x 1/3 = 1 10/25/09 Algebra 1.1 Bitsy Griffin
- 21. Equality 10/25/09 Algebra 1.1 Bitsy Griffin
- 22. Equality Addition If a=b, then a+c=b+c 10/25/09 Algebra 1.1 Bitsy Griffin
- 23. Equality Subtraction If a=b, then a-c=b-c 10/25/09 Algebra 1.1 Bitsy Griffin
- 24. Equality Multiplication If a=b, then ac=bc 10/25/09 Algebra 1.1 Bitsy Griffin
- 25. Equality Division If a=b, then a/c=b/c 10/25/09 Algebra 1.1 Bitsy Griffin
- 26. Essential Question What are the basic properties of real numbers? 10/25/09 Algebra 1.1 Bitsy Griffin