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7-1:  Estimating Products How do I do it? Ex. 1:  Round the whole number, than do the problem. 1 4 13 x Round 13 to 12 (easier to work with the 4) 1 4 12 x = 3 Ex 2:  Round the fractions, than do the problem. 1 3 x Rounds up to 1. 1 2 1 x = 7 8 Rounds to ½. 1 2
7-2:  Multiplying Fractions How do I do it? Step 1:  Multiply across. 1 3 x 1 4 1 12 = 2 5 x 3 7 6 35 =
7-3:  Multiplying Mixed Numbers How do I do it? 2 2 1 2 4 1 Step 1:  Convert to Improper Fractions x 2 5 4 9 x Step 2:  Multiply.  Reduce and Convert if Needed. 2 5 4 9 x = 8 45 8 45 5 8 5 =
7-4:  Dividing Fractions How do I do it? 8 1 4 3 Step 1:  Change the 2 nd  number to its reciprocal (reverse.) 8 1 3 4 x Step 2:  Multiply.  Reduce if needed. 8 1 3 4 x = 24 4 = 6 1 Reduce
7-5:  Dividing Mixed Numbers How do I do it? 5 2 1 1 4 3 Step 1:  Change the fractions to improper fractions.  Then change the 2 nd  number to its reciprocal (reverse.) 2 11 7 4 x Step 2:  Multiply.  Reduce the fraction and convert it if needed. 2 11 7 4 x = 14 44 7 22 3 7 1 = 14 44 = Reduce
7-6:  Patterns and Function Sequences How do I do it? Step 1:  Look for the pattern.  Make sure that the pattern works past the first 2 numbers. 16, 24, 32, 40, __, __ 16, 24, 32, 40, __, __ +8 +8 +8 Following the pattern of +8, the next two numbers are 48 and 56.

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Chapter 7 Notes

  • 1. 7-1: Estimating Products How do I do it? Ex. 1: Round the whole number, than do the problem. 1 4 13 x Round 13 to 12 (easier to work with the 4) 1 4 12 x = 3 Ex 2: Round the fractions, than do the problem. 1 3 x Rounds up to 1. 1 2 1 x = 7 8 Rounds to ½. 1 2
  • 2. 7-2: Multiplying Fractions How do I do it? Step 1: Multiply across. 1 3 x 1 4 1 12 = 2 5 x 3 7 6 35 =
  • 3. 7-3: Multiplying Mixed Numbers How do I do it? 2 2 1 2 4 1 Step 1: Convert to Improper Fractions x 2 5 4 9 x Step 2: Multiply. Reduce and Convert if Needed. 2 5 4 9 x = 8 45 8 45 5 8 5 =
  • 4. 7-4: Dividing Fractions How do I do it? 8 1 4 3 Step 1: Change the 2 nd number to its reciprocal (reverse.) 8 1 3 4 x Step 2: Multiply. Reduce if needed. 8 1 3 4 x = 24 4 = 6 1 Reduce
  • 5. 7-5: Dividing Mixed Numbers How do I do it? 5 2 1 1 4 3 Step 1: Change the fractions to improper fractions. Then change the 2 nd number to its reciprocal (reverse.) 2 11 7 4 x Step 2: Multiply. Reduce the fraction and convert it if needed. 2 11 7 4 x = 14 44 7 22 3 7 1 = 14 44 = Reduce
  • 6. 7-6: Patterns and Function Sequences How do I do it? Step 1: Look for the pattern. Make sure that the pattern works past the first 2 numbers. 16, 24, 32, 40, __, __ 16, 24, 32, 40, __, __ +8 +8 +8 Following the pattern of +8, the next two numbers are 48 and 56.