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CONTENTS
INTRODUCTION
I. THE BASICS — A REVIEW OF NUMBERS & ARITHMETIC
CHAPTER 1 Numbers and Fundamental Arithmetic
A Review of Arithmetic Principles and Applications in Preparing a Basic Foundation (1) — Review
of signs, symbols, operations, relations and orders of operations (2) — PEMDAS defines the Order
of Operation (3) — Notation and Numeration (5) — Reading and Writing Numbers (5) — Rounding
Numbers (6) — ADDITION OF INTEGERS (WHOLE NUMBERS) (7) - Checking Accuracy (8)
— Subtotaling in addition (9) — Horizontal addition (9) — Horizontal and Vertical Addition (9) —
SUBTRACTION OF INTEGERS (WHOLE NUMBERS) (9) — Checking Accuracy (10) —
Horizontal Subtraction (10) — MULTIPLICATION OF INTEGERS (WHOLE NUMBERS) (11) -
Checking Accuracy (11) — DIVISION OF INTEGERS (WHOLE NUMBERS) (11) — Checking
Accuracy (12) — CALCULATING AVERAGES (12) — Arithmetic Signed Numbers (13) —
Addition of Signed Numbers with Like Signs (13) — Adding Positive Numbers (13) —Addition of
Signed Numbers with Unlike Signs (14) The number line and its use (14) — Subtractions of Signed
Numbers (16) — The inverse Process (17) — Multiplications and Division of Signed Numbers (19)
— Multiplying more than Two Numbers (19) — Division of Signed Numbers (20) — Homework 1-
1 (23) — Homework 1-2 (25)
CHAPTER 2 Fractions
FRACTIONS (1) — Fractional Parts (2) — Calculating common denominators when adding,
subtracting, multiplying and dividing fractions (3) — Reducing Fractions to their lowest terms
(Simplifying Fractions) (4) — How is a fraction reduced (simplified) to its lowest terms? (4) —
Method 1 (4) — Method 2 (5) — Determining the Common Denominator (5) — Making
denominators the same (5) — What just happened? (6) — Calculating the Greatest Common
Divisor (6) — Divisibility of Numbers (7) — Converting Improper Fractions and Mixed Numbers
(8) — MORE ON NUMERATORS AND DENOMINATORS (8) — All numbers have a numerator
and a denominator (8) — All numbers have a reciprocal (8) — Determining the Lowest Common
Denominator (9) — Equivalent Fractions (11) — Changing Fractions to Higher Terms (11) — The
objective is to get n alone on one side of the equation (12) — Changing Fractions to Lower Terms
(12) — ARITHMETIC OPERATIONS WITH COMMON FRACTIONS (14) — Adding Fractions
and Mixed Numbers (14) — Adding Fractions (14) . — Adding Mixed Numbers (14) — Subtraction
with Fractions and Mixed Numbers (15) — Subtraction of Fractions. (15) — Subtraction with Mixed
Numbers (16) — Multiplying Fractions and Mixed Numbers (16) — Multiplying Fractions (16) —
Multiplying Mixed Numbers (16) — Division with Fractions and Mixed Numbers (18) — Division
with the reciprocal of the divisor.(18) — Ratios, Proportions, from fractions and their relationships
(19) — RATIO (19) — Proportion (22) — Homework 2-1 (27) — Homework 2-2 (31)
CHAPTER 3 Everything Decimals
THE IDEA OF THE DECIMAL FRACTION, A BEGINNING (2) — DECIMAL FRACTIONS (3)
— CONVERTING FRACTIONS TO DECIMAL NUMBERS (4) — Equivalent Fraction and
Decimal (4) — Changing a Fraction to an Equivalent Decimal Fraction (5) — Complex Fractions
(6) — Begin with the denominator (6) — Next is to deal with the numerator (6) — Rounding
Decimal Fractions (7) — ARITHMETIC OPERATIONS WITH DECIMALs (8) — Addition and
Subtraction of Decimals (8) — Multiplication of Decimal Numbers (9) — Division with Decimal
Numbers (10) — The power of 10s (10) — Division by 10 and Multiples of 10 (11) — Quantity
Prices (12) — CHECKING ACCOUNTS (14) — Recording Checks and Deposits (15) — Bank
Statement and Reconciliation (16) — Why reconcile (18) — Parts of the Bank Statement (18) —