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SECTION
1
Whole Numbers
UNIT
1
Basic Principles of Whole Numbers
. . . .
2
Place Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Rounding Whole Numbers . . . . . . . . . . . . . . . 3
Denominate Numbers . . . . . . . . . . . . . . . . . . . 5
UNIT
2
Adding Whole Numbers
. . . . . . . . . . . . . . .
9
Method Used to Add Whole Numbers . . . . . 9
Carrying in Addition . . . . . . . . . . . . . . . . . . . 10
Adding Denominate Numbers . . . . . . . . . . . 11
UNIT
3
Subtracting Whole Numbers.
. . . . . . . . .
19
Method Used to Subtract Whole Numbers . . 19
Borrowing in Subtraction . . . . . . . . . . . . . . . . 20
Checking Subtraction by Adding . . . . . . . . . 21
Subtracting Denominate Numbers . . . . . . . . 21
UNIT
4
Multiplying Whole Numbers.
. . . . . . . . .
27
Method Used to Multiply
Whole Numbers . . . . . . . . . . . . . . . . . . . . . 28
Carrying Units in Multiplication
Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Checking Multiplication . . . . . . . . . . . . . . . . . 31
Multiplying Denominate Numbers . . . . . . . 32
UNIT
5
Dividing Whole Numbers
. . . . . . . . . . . . .
39
Method Used to Divide Whole Numbers . . 41
Remainders in Division Problems. . . . . . . . . 42
Checking Division . . . . . . . . . . . . . . . . . . . . . . 43
Dividing Denominate Numbers . . . . . . . . . . 43
SECTION
2
Fractions
UNIT
6
Basic Principles of Fractions
. . . . . . . . . . .
58
Parts of a Fraction . . . . . . . . . . . . . . . . . . . . . . 58
Proper and Improper Fractions . . . . . . . . . . . 59
Equivalent Fractions . . . . . . . . . . . . . . . . . . . . 59
Reducing Fractions to Their Lowest
Terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . 61
Converting Mixed Numbers
to Improper Fractions . . . . . . . . . . . . . . . . 62
Finding the Lowest Common
Denominator (LCD) . . . . . . . . . . . . . . . . . . 63
UNIT
7
Adding Fractions
. . . . . . . . . . . . . . . . . . . . . .
69
Method Used to Add Fractions . . . . . . . . . . . 69
Adding Fractions with Common
Denominators . . . . . . . . . . . . . . . . . . . . . . . 70
Adding Fractions without Common
Denominators . . . . . . . . . . . . . . . . . . . . . . . 70
Adding Mixed Numbers . . . . . . . . . . . . . . . . 71
UNIT
8
Subtracting Fractions
. . . . . . . . . . . . . . . . .
83
Method Used to Subtract Fractions . . . . . . . . 84
Subtracting Fractions with Common
Denominators . . . . . . . . . . . . . . . . . . . . . . . 84
Subtracting Fractions without Common
Denominators . . . . . . . . . . . . . . . . . . . . . . . 84
Subtracting Mixed Numbers . . . . . . . . . . . . . 85
Borrowing from Whole Numbers
to Subtract Fractions . . . . . . . . . . . . . . . . . 86
Contents