Page 43 - Math Skill - 5

The Four Fundamental Operations 41

MIND MAP

Fundamental Operations

Properties of Addition Simplification Properties of

1. COMMUTATIVE Priority of Operator Multiplication
10,412 + 11,371 = 11,371 + 10,412 V Vinculum 1. COMMUTATIVE PROPERTY
or B Brackets [{()}] a × b = b × a
a + b = b + a O Of 2. ASSOCIATIVE PROPERTY

2. ZERO PROPERTY D Division a × (b × c) = (a × b) × c
0 + Number = Number M Multiplication 3. DISTRIBUTIVE PROPERTY
3. ASSOCIATIVE PROPERTY A Addition a × (b + c) = a × b + a × c
(3500 + 5000) + 550 4. MULTIPLICATIVE PROPERTY
= 3500 + (5000 + 550) S Subtraction 0 × Number = 0
1 × Number = Number

Subtraction

PROPERTIES Division
1. Number – 0 = Number VERIFICATION

2. Number – Number = 0 Dividend = Quotient × Divisor + Remainder
3. 520 – 324 ≠ 324 – 520
(not commutative) PROPERTIES
1. Number ÷ 1 = Number
2. Number ÷ Number = 1
3. Number ÷ 0 = Meaningless
Rememberable Points 4. 0 ÷ Number = 0

Multiplication Repeated Addition
Division Repeated Subtraction