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# 101 Properties of real numbers Part 2

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Properties of real numbers lesson

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### 101 Properties of real numbers Part 2

1. 1. Properties of Real Numbers Part 2 Rules that real numbers follow
2. 2. Essential Question <ul><li>What rules do real numbers follow? </li></ul>
3. 3. Equality
4. 4. Equality <ul><li>Addition </li></ul><ul><li>If a=b, then </li></ul><ul><li>a+c=b+c </li></ul>
5. 5. Equality <ul><li>Subtraction </li></ul><ul><li>If a=b, then </li></ul><ul><li>a-c=b-c </li></ul>
6. 6. Equality <ul><li>Multiplication </li></ul><ul><li>If a=b, then </li></ul><ul><li>ac=bc </li></ul>
7. 7. Equality <ul><li>Division </li></ul><ul><li>If a=b, then </li></ul><ul><li>a/c=b/c </li></ul>
8. 8. Substitution <ul><li>If a = b, then a may be substituted for b. </li></ul>
9. 9. Reflexive <ul><li>A number equals itself </li></ul><ul><li>a = a </li></ul><ul><li>3 = 3 </li></ul>
10. 10. Symmetric <ul><li>If two things are equal, then the equation can be flipped. </li></ul>
11. 11. Symmetric <ul><li>If a = b, then b = a </li></ul><ul><li>2x + 9 = 23 is the same as 23 = 2x + 9 </li></ul>
12. 12. Transitive <ul><li>If a = b & b = c, then a = c </li></ul><ul><li>4 = x & x = z, then . . . </li></ul><ul><li>z = 4 </li></ul>
13. 13. Essential Question: <ul><li>What rules do real numbers follow? </li></ul>