
Beginning
Algebra Contents A 





The
Set of Real Numbers  The Real Number System 
Sets
of
Numbers: 
Natural numbers 
Whole numbers 
Integers 
Rational numbers 
Irrational numbers 
Real numbers 
The Real Number Line, and Relations 
Onedimensional coordinate system 
Unit
interval 
Relations,
less than and greater than

Interval definition and notation 
Distance
and absolute value 
Distance between two numbers 
Properties of absolute value 
Midpoint formula for the real
number line 
Natural Numbers and Integers
 The Basic Operations 
Addition and subtraction 
Multiplication and division 
Order of operations 
The divisibility rules 
Prime and composite numbers 
Prime
factorization 
The greatest common divisor/factor
(GCD/GCF) 
The least common multiple (LCM) 
Fractions 
Proper and improper fractions 
Mixed numbers 
Converting mixed numbers to
improper fractions 
Converting
improper fractions to mixed numbers 
Equivalent fractions 
Comparing fractions 
Converting and reducing fractions 
Lowest terms 
Decimal
fractions 
Adding and subtracting like
fractions 
Adding and subtracting fractions 
Multiplying fractions 
Dividing
fractions 
Simplifying complex fractions 
Decimal
Numbers 
Decimal representation of rational
numbers or fractions

Expanded form of
decimal number, decimal fractions

Whole number part or integer part (integral part) and decimal
places

Terminating decimals

Recurring decimals (Infinite
decimals, period) 
Purely recurring decimals

Mixed recurring decimals

Converting decimal number to a
fraction 
Converting terminating decimal to a fraction 
Converting the purely recurring decimal
to a fraction 
Converting the mixed recurring decimal
to a fraction 
Adding and subtracting decimals 
Multiplying and dividing decimals
by power of ten

Place
values and place holders

Multiplying and dividing decimals
by decimal units

Decimal numbers scientific notation

Multiplication of decimal numbers

Division of decimal numbers 
Rational Numbers

Definition 
Comparing rational numbers

Equivalent fractions 
Reducing or simplifying fractions 
Adding and subtracting rational
numbers or fractions

Multiplication of
rational numbers

Reciprocal fractions, multiplicative inverse 
Division of
rational numbers 
Simplifying complex or compound
fractions 








Beginning
Algebra Contents 



Copyright
© 2004  2020, Nabla Ltd. All rights reserved. 