### Resource: Unit 2 Real Numbers

**1. Equal, Less than or Greater than sign**

- > Greater than
- 5 > -12
- n > 20 where n is a prime number.
- Then n = 23, 29, 31, 37, 41, etc...

- ≥ Greater than or equal
- n ≥ -1 where n is an integer. It means include -1 if it satisfies the given condition
- Then n = -1 (i.e. including the number), 0, 1, 2, 3, 4....
- < Less than
- 20 < 23
- n < 20 where n is a natural number
- Then n = 1, 4, 9, 16
- ≤ Less than or equal
- n ≤ 25 where n is a multiple of 3. It means include 25 if it satisfies teh given condition.
- Then n = 24, 21, 18, 15, 12, 9, 3, 0, -3, -6, ...

Watch the following clip for a

**Preview**of what we will be doing in the next few lessons.

**1. Number Lines**

**2. Real Numbers**

**3. Operations of Numbers**

Integers -

**Zero Pairs**(Basic Concept)**The sum of an integer and its opposite is ZERO**

**E.g. 1: - 20 + 20 = 0****E.g. 2: 56 + (-56) = 0****E.g. 3: -28 + 28 = 0**

Integers - Addition of Integers (Basic Concepts)

**Evaluate - 3 + (-2)**

__Rule__:**To add two negative numbers, add their absolute values and take the negative sign for the answer**

**E.g. 1: -25 + (-17) = -42****E.g. 2: -21 + (-21) = -42****E.g. 3: -18 + (-11) = -29**

**~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~**

**Evaluate 3 + (-7)**

__Rule__: To add 2 integers of different signs such that the__negative__integer has a larger absolute value, we find the difference between their absolute value and take the__negative__sign for the answer.**E.g. 1: -17 + 12 = -5****E.g. 2: 52 + (-67) = -15****E.g. 3: -88 + 85 = -3****E.g. 4: 28 + (-82) = -54**

__Rule__: To add 2 integers of different signs such that the__positive__integer has a larger absolute value, we find the difference between their absolute value and take the__positive__sign for the answer.**E.g. 1: -12 + 17 = 5****E.g. 2: -63 + 68 = 5****E.g. 3: 86 + (-53) = 33****E.g. 4: -38 + 83 = 45**

**Using Number Line to Explain...**

**(A) Adding and Subtracting Negative Numbers**

**(B) Adding Negative Numbers:**

Find: -45 + (-46) + (-29)

(

**C) Adding Integers of Different Signs**

Find: 15 + (-46) + 29

**4. Properties of Operations**

**Commutative & Associative Properties**

**Commutative Property of Multiplication**

**5. Recurring Decimals**

**Converting Repeating Decimals (Recurring Number) to Fraction**

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