TABLE OF CONTENTS
INTRODUCTION (FOR PARENTS) III
HOW TO USE THIS BOOK IV
TEXTBOOK
CHAPTER 1 MULTIPLICATION AND DIVISION OF LARGE NUMBERS
LESSON 1 MULTIPLICATION OF NUMBERS WITH ZEROS ON THE END 1
LESSON 2 MULTIPLICATION OF 2-DIGIT NUMBERS BY 1-DIGIT NUMBERS 2
LESSON 3 MULTIPLICATION OF LARGE NUMBERS 4
LESSON 4 DIVISION OF 2-DIGIT NUMBERS BY 1-DIGIT NUMBERS 6
LESSON 5 DIVISION OF LARGE NUMBERS BY 1-DIGIT NUMBERS 9
LESSON 6 MULTIPLICATION BY 2-DIGIT NUMBERS 12
LESSON 7 MULTIPLICATION BY 3-DIGIT NUMBERS 14
LESSON 8 DIVISION BY 2-DIGIT NUMBERS 15
LESSON 9 AVERAGES 18
LESSON 10 WORD PROBLEMS 19
CHAPTER 2 COMBINED OPERATIONS AND MENTAL MATH
LESSON 1 COMBINED OPERATIONS WITH WHOLE NUMBERS 20
LESSON 2 ROUNDING WHOLE NUMBERS 22
LESSON 3 MENTAL MATH: ESTIMATION USING ROUNDING 24
LESSON 4 MENTAL MATH: FRONT-END ESTIMATION 26
LESSON 5 MENTAL MATH: ESTIMATION USING COMPENSATION 28
LESSON 6 EVEN MORE MENTAL MATH: ( WITH SUBSTITUTING COMPATIBLE
NUMBERS AND BREAKING APART NUMBERS) 29
LESSON 7 WORD PROBLEMS 30
CHAPTER 3 NUMBER THEORY
LESSON 1 FACTORS AND MULTIPLES 32
LESSON 2 DIVISIBILITY 34
LESSON 3 PRIME AND COMPOSITE NUMBERS 36
LESSON 4 PRIME FACTORIZATION 37
LESSON 5 THE GREATEST COMMON FACTOR 39
LESSON 6 THE LEAST COMMON MULTIPLE 41
LESSON 7 WORD PROBLEMS 43
CHAPTER 4 FRACTIONS AND MIXED NUMBERS
LESSON 1 PART OF A WHOLE 44
LESSON 2 PART OF A SET 46
LESSON 3 EQUIVALENT FRACTIONS 49
LESSON 4 FRACTIONS IN LOWEST TERMS 51
LESSON 5 IMPROPER FRACTIONS AND MIXED NUMBERS 53
LESSON 6 WORD PROBLEMS 56
CHAPTER 5 ADDITION AND SUBTRACTION OF FRACTIONS
LESSON 1 ADDING AND SUBTRACTING FRACTIONS WITH LIKE DENOMINATORS 57
LESSON 2 ADDING AND SUBTRACTING FRACTIONS WITH UNLIKE DENOMINATORS 60
LESSON 3 ADDING MIXED NUMBERS WITH LIKE DENOMINATORS 62
LESSON 4 SUBTRACTING MIXED NUMBERS WITH LIKE DENOMINATORS 64
LESSON 5 ADDING AND SUBTRACTIONG MIXED NUMBERS WITH UNLIKE
DENOMINATORS 67
LESSON 6 COMPARING AND ORDERING FRACTIONS 69
LESSON 7 ESTIMATING SUMS AND DIFFERENCES OF FRACTIONS AND MIXED
NUMBERS 71
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LESSON 8 WORD PROBLEMS 73
CHAPTER 6 MULTIPLICATION AND DIVISION OF FRACTIONS
LESSON 1 MULTIPLYING A FRACTION AND A WHOLE NUMBER 75
LESSON 2 MULTIPLYING FRACTIONS 77
LESSON 3 MULTIPLYING MIXED NUMBERS 80
LESSON 4 DIVIDING FRACTIONS 82
LESSON 5 DIVIDING MIXED NUMBERS 84
LESSON 6 ESTIMATING THE RESULT OF MULTIPLICATION OR DIVISION 86
LESSON 7 WORD PROBLEMS 88
CHAPTER 7 DECIMALS: ADDITION AND SUBTRACTION
LESSON 1 DECIMALS ARE FRACTIONS TOO 90
LESSON 2 SMALLER DECIMALS 92
LESSON 3 COMPARING AND ORDERING DECIMALS 95
LESSON 4 ESTIMATING USING ROUNDING 97
LESSON 5 ADDING AND SUBTRACTING DECIMALS 99
LESSON 6 WORD PROBLEMS 100
CHAPTER 8 DECIMALS: MULTIPLICATION AND DIVISION
LESSON 1 MULTIPLYING DECIMALS 102
LESSON 2 DIVIDING DECIMALS 104
LESSON 3 DIVIDING DECIMALS ( REPEATING DECIMALS ) 106
LESSON 4 APPROXIMATION OF A DECIMAL QUOTIENT 109
LESSON 5 DIVIDING BY A DECIMAL 111
LESSON 6 WORD PROBLEMS 113
CHAPTER 9 COMBINED OPERATIONS WITH DIFFERENT KIND OF NUMBERS
LESSON 1 COMBINED OPERATIONS WITH FRACTIONS AND MIXED NUMBERS 115
LESSON 2 COMBINED OPERATIONS WITH DECIMALS 117
LESSON 3 COMBINED OPERATIONS WITH ALL KIND OF NUMBERS 118
LESSON 4 WORD PROBLEMS 120
CHAPTER 10 INTEGERS
LESSON 1 INTEGERS, NUMBER LINE 122
LESSON 2 COMPARING INTEGERS 124
LESSON 3 ADDING INTEGERS 125
LESSON 4 SUBTRACTING INTEGERS 127
LESSON 5 MULTIPLYING INTEGERS 129
LESSON 6 DIVIDING INTEGERS 130
LESSON 7 COMBINED OPERATIONS WITH INTEGERS 131
LESSON 8 WORD PROBLEMS 133
WORKBOOK
CHAPTER 1 MULTIPLICATION AND DIVISION OF LARGE NUMBERS
LESSON 1 MULTIPLICATION OF NUMBERS WITH ZEROS ON THE END 135
LESSON 2 MULTIPLICATION OF 2-DIGIT NUMBERS BY 1-DIGIT NUMBERS 136
LESSON 3 MULTIPLICATION OF LARGE NUMBERS 138
LESSON 4 DIVISION OF 2-DIGIT NUMBERS BY 1-DIGIT NUMBERS 142
LESSON 5 DIVISION OF LARGE NUMBERS BY 1-DIGIT NUMBERS 144
LESSON 6 MULTIPLICATION BY 2-DIGIT NUMBERS 147
LESSON 7 MULTIPLICATION BY 3-DIGIT NUMBERS 150
LESSON 8 DIVISION BY 2-DIGIT NUMBERS 152
LESSON 9 AVERAGES 155
LESSON 10 WORD PROBLEMS 156
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VI
CHAPTER 1 TEST 158
CHAPTER 2 COMBINED OPERATIONS AND MENTAL MATH
LESSON 1 COMBINED OPERATIONS WITH WHOLE NUMBERS 159
LESSON 2 ROUNDING WHOLE NUMBERS 161
LESSON 3 MENTAL MATH: ESTIMATION USING ROUNDING 163
LESSON 4 MENTAL MATH: FRONT-END ESTIMATION 165
LESSON 5 MENTAL MATH: ESTIMATION USING COMPENSATION 166
LESSON 6 EVEN MORE MENTAL MATH: ( WITH SUBSTITUTING COMPATIBLE
NUMBERS AND BREAKING APART NUMBERS) 167
LESSON 7 WORD PROBLEMS 168
CHAPTER 2 TEST 169
CHAPTER 3 NUMBER THEORY
LESSON 1 FACTORS AND MULTIPLES 171
LESSON 2 DIVISIBILITY 173
LESSON 3 PRIME AND COMPOSITE NUMBERS 175
LESSON 4 PRIME FACTORIZATION 176
LESSON 5 THE GREATEST COMMON FACTOR 178
LESSON 6 THE LEAST COMMON MULTIPLE 180
LESSON 7 WORD PROBLEMS 182
CHAPTER 3 TEST 183
CHAPTER 4 FRACTIONS AND MIXED NUMBERS
LESSON 1 PART OF A WHOLE 184
LESSON 2 PART OF A SET 186
LESSON 3 EQUIVALENT FRACTIONS 188
LESSON 4 FRACTIONS IN LOWEST TERMS 191
LESSON 5 IMPROPER FRACTIONS AND MIXED NUMBERS 194
LESSON 6 WORD PROBLEMS 196
CHAPTER 4 TEST 197
CHAPTER 5 ADDITION AND SUBTRACTION OF FRACTIONS
LESSON 1 ADDING AND SUBTRACTING FRACTIONS WITH LIKE DENOMINATORS 198
LESSON 2 ADDING AND SUBTRACTING FRACTIONS WITH UNLIKE DENOMINATORS 199
LESSON 3 ADDING MIXED NUMBERS WITH LIKE DENOMINATORS 201
LESSON 4 SUBTRACTING MIXED NUMBERS WITH LIKE DENOMINATORS 203
LESSON 5 ADDING AND SUBTRACTIONG MIXED NUMBERS WITH UNLIKE
DENOMINATORS 205
LESSON 6 COMPARING AND ORDERING FRACTIONS 208
LESSON 7 ESTIMATING SUMS AND DIFFERENCES OF FRACTIONS AND MIXED
NUMBERS 210
LESSON 8 WORD PROBLEMS 211
CHAPTER 5 TEST 213
CHAPTER 6 MULTIPLICATION AND DIVISION OF FRACTIONS
LESSON 1 MULTIPLYING A FRACTION AND A WHOLE NUMBER 214
LESSON 2 MULTIPLYING FRACTIONS 215
LESSON 3 MULTIPLYING MIXED NUMBERS 217
LESSON 4 DIVIDING FRACTIONS 219
LESSON 5 DIVIDING MIXED NUMBERS 221
LESSON 6 ESTIMATING THE RESULT OF MULTIPLICATION OR DIVISION 223
LESSON 7 WORD PROBLEMS 225
CHAPTER 6 TEST 227
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VII
CHAPTER 7 DECIMALS: ADDITION AND SUBTRACTION
LESSON 1 DECIMALS ARE FRACTIONS TOO 228
LESSON 2 SMALLER DECIMALS 230
LESSON 3 COMPARING AND ORDERING DECIMALS 232
LESSON 4 ESTIMATING USING ROUNDING 234
LESSON 5 ADDING AND SUBTRACTING DECIMALS 237
LESSON 6 WORD PROBLEMS 239
CHAPTER 7 TEST 240
CHAPTER 8 DECIMALS: MULTIPLICATION AND DIVISION
LESSON 1 MULTIPLYING DECIMALS 241
LESSON 2 DIVIDING DECIMALS 243
LESSON 3 DIVIDING DECIMALS ( REPEATING DECIMALS ) 245
LESSON 4 APPROXIMATION OF A DECIMAL QUOTIENT 247
LESSON 5 DIVIDING BY A DECIMAL 249
LESSON 6 WORD PROBLEMS 252
CHAPTER 8 TEST 253
CHAPTER 9 COMBINED OPERATIONS WITH DIFFERENT KIND OF NUMBERS
LESSON 1 COMBINED OPERATIONS WITH FRACTIONS AND MIXED NUMBERS 254
LESSON 2 COMBINED OPERATIONS WITH DECIMALS 256
LESSON 3 COMBINED OPERATIONS WITH ALL KIND OF NUMBERS 258
LESSON 4 WORD PROBLEMS 260
CHAPTER 9 TEST 262
CHAPTER 10 INTEGERS
LESSON 1 INTEGERS, NUMBER LINE 263
LESSON 2 COMPARING INTEGERS 264
LESSON 3 ADDING INTEGERS 265
LESSON 4 SUBTRACTING INTEGERS 266
LESSON 5 MULTIPLYING INTEGERS 269
LESSON 6 DIVIDING INTEGERS 270
LESSON 7 COMBINED OPERATIONS WITH INTEGERS 271
LESSON 8 WORD PROBLEMS 273
CHAPTER 10 TEST 274
ANSWERS
CHAPTER 1 275
CHAPTER 2 280
CHAPTER 3 283
CHAPTER 4 289
CHAPTER 5 294
CHAPTER 6 299
CHAPTER 7 303
CHAPTER 8 308
CHAPTER 9 311
CHAPTER 10 313
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