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 ______________________________________________________________________________ V 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 _____________________________________________________________________________________________ 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 ______________________________________________________________________________ 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