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Divide

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Bases of division

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Divide

  1. 1. DivisionDivision by Oneby One DigitDigit DivisorsDivisorsAllegra JamesAllegra James and Larry Wershbaleand Larry Wershbale Media Design and ProductionMedia Design and Production ISTC 665ISTC 665
  2. 2. • Dividing these 16 apples into 4 equal groups, gives you 4 groups that have 4 apples in each of the groups:                 What are you doing whenWhat are you doing when you divide?you divide? • When you divide, you are trying to split something into equally numbered groups • Take these 16 apples:                
  3. 3. Division by One-digit DivisorsDivision by One-digit Divisors • Today you will learn how to divide a three-digit dividend by a one-digit divisor, to get a quotient without a remainder • Let’s review these terms
  4. 4. What are the parts of aWhat are the parts of a division problem?division problem? • The dividend is the number you are dividing • The divisor is the number you are dividing by • The quotient is the evenly divided result • The remainder is what is left over that cannot be evenly divided
  5. 5. When we write the problemWhen we write the problem like this:like this: 136136  5 = 27 r 15 = 27 r 1 136 is the dividend 5 is the divisor 27 is the quotient 1 is the remainder
  6. 6. When writing it like this:When writing it like this: 136, the dividend, moves here 5, the divisor, moves to here 27, the quotient, stays here 1 is the remainder1365 27 r 1
  7. 7. How do you solve aHow do you solve a division problem?division problem? • Solving a division problem is a step by step process • The method we will learn today is based the words for the people in our families. • They are: Father Mother Sister Brother
  8. 8. The “Family” MethodThe “Family” Method Father = Find Mother = Multiply Sister = Subtract Brother = Bring Down
  9. 9. FatherFather • Father stands for find • Start by looking at the first number in the dividend • Find the multiple of the divisor that comes closest to that number, without going higher • Use your knowledge of math facts, or a multiplication grid
  10. 10. 7113 FFather =ather = findfind the number closet to the first digitthe number closet to the first digit • In the 3’s, the number closest to 7, but not more than 7, is 6 • The other factor is 2 6 • Put a 2 above the 7 2 2
  11. 11. MMother =other = multiplymultiply the number that is thethe number that is the factor that you found times the divisorfactor that you found times the divisor • You found 2, multiply it times the divisor, 3 • 2 times 3 equals 6 2 X 3 = 6 • Put a 6 under the 7 7113 2 6
  12. 12. SSister =ister = subtractsubtract the number you got bythe number you got by multiplying the divisor,multiplying the divisor, from the number in the dividendfrom the number in the dividend • You got a 6 when you multiplied • Subtract 6 from 7 7113 2 6 • 7 – 6 = 1 – 1 • The difference must be smaller than the divisor!!!The difference must be smaller than the divisor!!!
  13. 13. BBrother =rother = bring downbring down the next number,the next number, from the number in the dividendfrom the number in the dividend • Bring down the next number in the dividend • The new number you have is 11 • Now start over again with Father for the ten’s 7113 2 6– 11 1
  14. 14. Now, let’s do the second stepNow, let’s do the second step • Father: 9 is the closest multiple, the other factor you found is 3 • Mother: 3 X 3 = 9, put a 9 under the 11 • Sister: subtract 9 from 11 11- 9 = 2 7113 2 6– 11 1 • Brother: bring down the 1 3 9– 21
  15. 15. Now, let’s do the last stepNow, let’s do the last step • Father: 21 is the closest multiple, the other factor is 7 • Mother: 7 X 3 = 21, put 21 under the 21 • Sister: subtract 21 from 21 21- 21 = 0 • Brother: nothing’s left, you’re done! 7113 2 6– 11 1 3 9– 21 21– 0 7
  16. 16. 8644 2 8– 6 6 Now, let’s practice!Now, let’s practice! • Father • Mother • Sister • Brother 0 2 4 8
  17. 17. Now, let’s do the second stepNow, let’s do the second step • Father • Mother • Sister 8644 2 8– 06 6 • Brother 1 4– 24 4
  18. 18. Now, let’s do the last stepNow, let’s do the last step • Father • Mother • Sister • Brother 8644 2 8– 06 6 1 4– 24 24– 0 6
  19. 19. • Finish the rest of the worksheet • Homework: probs. 1-10, p. 64 in text • Go to this icon on the class’ computers for extra practice if you have free time • Look for the same icon on the class’ website for practice at home What do I do with division now?What do I do with division now?

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