1 / 32

Long Division

Long Division. by One-Digit Numbers. ). 682. 4. What is this problem asking us?. If we divided 682 into 4 groups of equal size, how many would be in each group?. ). 682. 4. Real Life Example.

sherlock-jairo
Download Presentation

Long Division

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Long Division by One-Digit Numbers

  2. ) 682 4 What is this problem asking us? If we divided 682 into 4groups of equal size, how many would be in each group?

  3. ) 682 4 Real Life Example If Grandma has 682 dollars that she wants to share it equally with four of her grandchildren, how much will each grandchild receive?

  4. ) 682 divisor 4 How do we solve it? • 4 is our divisor • Look at the first number and ask how many 4’s are in 6 • Recall your multiplication facts to find the one that will give an answer near 6. • There is one four in six.

  5. ) 682 4 • 4 x 1 = 6 1 4 • Place the 1 above the division bar • Subtract 4 from 6 • Bring down the next digit in the dividend 2 8 • Now ask how many 4s are in 28

  6. ) 682 4 • 4 x 7 = 28 1 7 • Place the 7 above the division bar • Subtract 28 from 28 • Bring down the next digit in the dividend 4 28 28 0 2 • Now we ask how many 4’s are in 2

  7. ) 682 4 remainder 1 7 0 • There are no 4’s in 2. • 4 x 0 = 0 4 • Place the 0 above the division bar • Subtract 0 from 2 • There are no more numbers in the dividend to bring down. • There are two left over. 28 28 0 2 0 2

  8. ) 682 4 remainder 1 7 0 • The answer to the problem is called the QUOTIENT. 4 The QUOTIENT is 170 remainder 2 28 28 0 2 0 2

  9. ) 5 36,987 • 5 x 9 = 45 7 3 9 • Place the 9 above the division bar • Subtract 45 from 48 • Bring down the next digit in the dividend 35 1 9 15 48 45 • Now we ask how many 5’s are in 37 3 7

  10. ) 5 36,987 remainder 7 3 9 7 • Place the 7 above the division bar • Subtract 35 from 37 • There are no more numbers to bring down • The remainder is 2, which means 2 are left over • The quotient or answer to our problem is 7,397 with a remainder of 2 35 1 9 15 48 45 5 x 7 = 35 3 7 35 2

  11. ) 5 36,987 Our Real Life Example 7,397 about If Janice has5 years to repay a small business loan for$36,987, how much will she need to pay each year?

  12. ) 5 36,987 • How many 5’s are in 36? • Recall your multiplication facts to find the one that will give an answer near 36. • 5 x 7 = 35

  13. ) 6 8,437 What is this problem asking us? If we divided 8,437 into 6groups of equal size, how many would be in each group?

  14. ) 6 8,437 Real Life Example Can you think of a word problem that can be expressed as the division problem written above?

  15. ) 6 8,437 divisor How do we solve it? • 6 is our divisor • Look at the first number and ask how many 6’s are in 8 • There is one, so we multiply and begin to work through the steps to solve the problem.

  16. ) 6 8,437 1 • 6 x 1 = 6 • Place the 1 above the division bar • Subtract 6 from 8 • Bring down the next digit in the dividend 6 4 2 • Now ask how many6’s are in 24

  17. ) 6 8,437 1 4 • 6 x 4 = 24 • Place the 4 above the division bar • Subtract 24 from 24 • Bring down the next digit in the dividend 6 24 24 0 3 • Now ask how many6’s are in 3

  18. ) 6 8,437 1 4 0 • 6 x 0 = 0 • Place the 0 above the division bar • Subtract 0 from 3 • Bring down the next digit in the dividend 6 24 24 3 0 0 • Now ask how many6’s are in 37 3 7

  19. ) 6 8,437 remainder 1 4 0 6 • 6 x 6 = 36 • Place the 6 above the division bar • Subtract 36 from 37 • There are no more numbers to bring down • The remainder is 1, which means there is one left over • The quotient or answer to our problem is 1,406 with a remainder of 2 6 24 24 3 0 0 7 3 36 1

  20. ) • 25 ÷ 7 or how many groups of 7 are in 25 • Think of a your seven facts • 7x3=21 • Place the 3 above the bar • Subtract 21 from 25 • Bring down the next digit in the dividend ~ THREE • 43 ÷ 7 or how many 7’s are in 43 3 6 2,538 7 -21 4 3 -42 7 x 6 = 42

  21. 3 • 7 x 6 = 42 ~ Place the 6 above the division bar • Subtract 42 from 43 • Bring down the next number in the dividend ~ EIGHT • How many 7’s are in 18 • 7 x 2 = 14 • Place the 2 above the bar • Subtract 14 from 18 • Our quotient is 362with a remainder of 4 ) remainder 6 2 2,538 7 -21 4 3 -42 1 8 -14 4

  22. ) • 37 ÷ 8 or how many groups of 8 are in 37 • Think of a your eight facts • 8 x 4 = 32 • Place the 4 above the bar • Subtract 32 from 37 • Bring down the next digit in the dividend ~ NINE • 59÷ 8 or how many 8’s are in 59 4 7 8 3,792 -32 5 9 -56 8 x 7 = 56

  23. 4 • 8 x 7 = 56 ~ Place the 7 above the division bar • Subtract 56 from 59 • Bring down the next number in the dividend ~ TWO • How many 8’s are in 32 • 8 X 4 = 32 • Place the 4 above the bar • Subtract 32 from 32 • Our quotient is 474 ) no remainder 7 4 3,792 8 -32 5 9 -56 3 2 -32 0

  24. ) • 17 ÷ 3 or how many groups of 3 are in 17 • Think of a your three facts • 3 x 5 = 15 • Place the 5 above the bar • Subtract 15 from 17 • Bring down the next digit in the dividend ~ SIX • 26 ÷ 3 or how many 3’s are in 26 5 8 1,763 3 -15 2 6 -24 8 X 3 = 24

  25. 5 • 3 x 8 = 24 ~ Place the 8 above the division bar • Subtract 24 from 26 • Bring down the next number in the dividend ~ THREE • How many 3’s are in 23 • 3 x 7 = 21 • Place the 7 above the bar • Subtract 21 from 23 • Our quotient is 587with a remainder of 2 ) remainder 8 7 1,763 3 -15 2 6 -24 2 3 -21 2

  26. ) • 24 ÷ 9 or how many groups of 9 are in 24 • Think of a your nine facts • 9 x 2 = 18 • Place the 2 above the bar • Subtract 18 from 24 • Bring down the next digit in the dividend ~ SEVEN • 67 ÷ 9 or how many 9’s are in 67 2 7 9 2,473 -18 6 7 -63 9 x 7 = 63

  27. 2 • 9 X 7 = 63 ~ Place the 7 above the division bar • Subtract 63 from 67 • Bring down the next number in the dividend ~ THREE • How many 9’s are in 43 • 9 x 4 = 36 • Place the 4 above the bar • Subtract 36 from 43 • Our quotient is 274with a remainder of 7 ) remainder 7 4 2,473 9 -18 6 7 -63 4 3 -36 7

  28. ) • 14 ÷ 2 or how many groups of 2 are in 14 • Think of your doubles • 2 x 7 = 14 • Place the 7 above the bar • Subtract 14 from 14 • Bring down the next digit in the dividend ~ NINE • 9 ÷ 2 or how many 2’s are in 9 7 4 1,499 2 -14 0 9 - 8 2 x 4 = 8

  29. 7 • 2 x 4 = 8 ~ Place the 4 above the division bar • Subtract 8 from 9 • Bring down the next number in the dividend ~ NINE • How many 2s are in 19 • 2 x 9 = 18 • Place the 9 above the bar • Subtract 18 from 19 • Our quotient is 749with a remainder of 1 ) remainder 4 9 1,499 2 -14 0 9 - 8 1 9 -18 1

  30. ) 2 2 • 6 ÷ 3 or how many groups of 3 are in 6 • Recall your multiplication facts 3 x 2 = 6 • Place the 2 above the bar • Subtract 6 from 6 • Bring down the next digit in the dividend ~ EIGHT • 8 ÷ 3 or how many 3’s are in 8 3 6,843 -6 0 8 - 6 3 x 2 = 6

  31. ) no remainder • 3 x 2 = 6 or how many groups of 3 are in 6 • Place the 2 above the bar • Subtract 6 from 8 • Bring down the next digit in the dividend ~ FOUR • How many 3’s are in 24 • Place the 8 above the bar • Subtract 24 from 24 • Bring down the THREE • 3 x 1 = 3 ~ Now subtract • Our quotient is 2,281 2 2 8 1 3 6,843 -6 0 8 - 6 2 4 -24 0 3 - 3 0

  32. ) ) ) ) ) Try These On Your Own • We will check them using webmath.com b. 6 4 a. 3,927 8,146 d. 9 c. 8 3,506 4,468 7 8,338 e.

More Related