Mastering Division: Essential Lessons for Whole Numbers
Explore the fundamental concepts of dividing whole numbers through fact families, two-digit dividends, division patterns, and estimating quotients. Enhance your skills by learning to divide three- and four-digit dividends, interpreting remainders, and more. Dive into these structured lessons to strengthen your division skills efficiently and effectively.
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Presentation Transcript
CHAPTER 3 Divide Whole Numbers
LESSON 1 RELATE DIVISION TO MULTIPLICATION A fact family is a group of related facts that use the same numbers. You can use fact families to relate multiplication and division. Example: 5 x 4 = 20 4 x 5 = 20 20 5 = 4 20 4 = 5
LESSON 3 TWO-DIGIT DIVIDENDS How to Divide Example 102 6 Think of it as a family: Dad divide Mom multiply Sister subtract Brother bring down next number Rover - remainder _17___ 6 102 - 6 _ 42 - 42_ 0
LESSON 4 DIVISION PATTERNS When dividing, look for a pattern and use the basic fact. 6, 000 30 6 3 = 2 (basic fact) 600 30 = 20 6,000 30 = 200 60 30 = 2 Here s a shortcut subtract the zeros to find out how many zeros are in your answer. 120,000 200 12 2 = 6 (basic fact) 4 2 = 2 zeros in answer 600
LESSON 5 ESTIMATE QUOTIENTS When estimating in division, you use compatible numbers that can divide evenly with no remainders. Example - 541 7 500 7 does not go in evenly. You can change the first two numbers in the dividend to make it work. 490 7 = 70 560 7 = 80 You can also change the divisor. 500 10 = 50 540 6 = 90 There are so many possibilities, but remember it has to go in evenly to be correct. NO REMAINDERS!
LESSON 8 DIVIDE THREE- AND FOUR- DIGIT DIVIDENDS LESSON 10: QUOTIENTS WITH ZEROS For these lessons, review steps of division in lesson 3.
LESSON 12: INTERPRET THE REMAINDER When you solve a division problem with a remainder, the way you interpret the remainder depends on the situation. Example 1 There are 453 people signed up for the sports banquet. If each table seats 9 people, how many tables are needed? 453 9 = 50 r 3 Since 50 table will not be enough to seat everyone, 51 tables will be needed. Example 2 The florist is selling vases for Christmas. Each vase holds 8 flowers. If she has 185 flowers how many vases can she make? 185 8 = 23 r 1 Only 23 complete vases can be made. The 1 flower left over is not enough to make another vase.
