### Real Numbers in Operation

Chapter 2 (Real 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

Chapter 2 (Real Numbers) 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
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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

Chapter 2 (Real Numbers) Integers - Subtraction (Basic Concepts)
Evaluate - 2 - 6
Note: Zero Pairs are introduced.

Evaluate - 5 - (-3)

Evaluate 5 - (-7)
Note: Zero Pairs are introduced.

Chapter 2 (Real Numbers) Integers - Multiplication (Basic Concepts)
Draw comparison between 2 x 3 (i.e. 2 groups of positive 3)
and 2 x (-3) (i.e. 2 groups of negative 3)

2 x 3 = 6
2 x (-3) = -6

Chapter 2 (Real Numbers) Integers - Division (Basic Concepts)
Draw comparison between 8 ÷ 2

and (-8) ÷ 2

8 ÷ 2 = 4

(-8) ÷ 2 = -4

Using Number Line to Explain...
(A) Adding and Sutracting Negative Numbers