USTET Mathematics — Arithmetic — Multiples, Factors, PEMDAS, Fractions & DecimalsConcept Map
Concept maps turn Arithmetic — Multiples, Factors, PEMDAS, Fractions & Decimals from a list of facts into a connected picture. For USTET Mathematics, this visual makes it easier to see how Arithmetic — Multiples, Factors, PEMDAS, Fractions & Decimals relates to other chapters University of Santo Tomas tests in the same paper.
Exam context
On the USTET 2026, the Mathematics subtest carries a "Core section" weight in University of Santo Tomas's pattern. Arithmetic — Multiples, Factors, PEMDAS, Fractions & Decimals lands at position 1st out of 9 in the standard review order. Target score is Competitive overall score, and roughly a meaningful share of items come from Mathematics on a typical USTET paper.
Arithmetic — Multiples, Factors, PEMDAS, Fractions & Decimals - Concept map
Central Concept
Arithmetic Operations
Related Concepts
Concept
Multiples and Factors
Sub Concepts
- Prime Numbers
- Composite Numbers
- Prime Factorization
- LCM (Least Common Multiple)
- GCF (Greatest Common Factor)
- Divisibility Rules
- Relatively Prime Numbers
Relationship To Central
Foundation for understanding number relationships and divisibility
Concept
Number System
Sub Concepts
- Natural Numbers
- Whole Numbers
- Integers
- Rational Numbers
- Irrational Numbers
- Real Numbers
- Complex Numbers
Relationship To Central
Framework for classifying all numbers used in arithmetic
Concept
Properties of Real Numbers
Sub Concepts
- Commutative Property
- Associative Property
- Distributive Property
- Identity Properties
- Inverse Properties
Relationship To Central
Rules that govern arithmetic operations and simplify calculations
Concept
PEMDAS Order of Operations
Sub Concepts
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Relationship To Central
Standard procedure for evaluating arithmetic expressions correctly
Concept
Fractions
Sub Concepts
- Proper Fractions
- Improper Fractions
- Mixed Numbers
- Fraction Operations
- Equivalent Fractions
- Simplifying Fractions
Relationship To Central
Representation of parts of whole numbers and rational number operations
Concept
Decimals
Sub Concepts
- Place Value
- Terminating Decimals
- Repeating Decimals
- Decimal Operations
- Fraction-Decimal Conversion
- Rounding Decimals
Relationship To Central
Alternative representation of fractions using base-10 system
Concept Connections
To
LCM and GCF
From
Prime Factorization
Strength
strong
Relationship
Prime factorization is the most efficient method for finding LCM and GCF of large numbers
To
Prime Numbers
From
Divisibility Rules
Strength
strong
Relationship
Divisibility rules help quickly identify factors and determine if a number is prime or composite
To
GCF
From
Fractions
Strength
strong
Relationship
GCF is used to simplify fractions to their lowest terms
To
LCM
From
Fractions
Strength
strong
Relationship
LCM is needed to add and subtract fractions with different denominators
To
PEMDAS
From
Properties of Real Numbers
Strength
moderate
Relationship
Number properties explain why PEMDAS order works and allow for strategic calculation shortcuts
To
Fractions
From
Decimals
Strength
strong
Relationship
Decimals are alternative representations of fractions, with conversion methods between both forms
To
All Operations
From
Number System Classification
Strength
moderate
Relationship
Understanding number types helps determine which operations and properties apply
To
Fractions and Decimals
From
Rational Numbers
Strength
strong
Relationship
Fractions and terminating/repeating decimals are different representations of rational numbers
To
Number System Security
From
Prime Numbers
Strength
weak
Relationship
Prime numbers form the foundation of modern cryptography and digital security systems
To
Mental Math Strategies
From
Distributive Property
Strength
moderate
Relationship
Distributive property enables quick mental calculations and algebraic manipulation
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