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Math Grade 4

Math Grade 4. Mrs. Ennis Long Division (With Remainders) Lesson Sixteen. 883 + 7416 = 3045 - B = 2150 (4 x G) + 3 = 39 42 ÷ 7 = 9 x 80 =. 6. Which two are the same?. 2 gallons <, >, = 5 liters 8. Write the numeral for: thirty-four thousand, six hundred four.

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Math Grade 4

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  1. MathGrade 4 Mrs. Ennis Long Division (With Remainders) Lesson Sixteen

  2. 883 + 7416 = 3045 - B = 2150 (4 x G) + 3 = 39 42 ÷ 7 = 9 x 80 =

  3. 6. Which two are the same? 2 gallons <, >, = 5 liters 8. Write the numeral for: thirty-four thousand, six hundred four

  4. 9. The sum of two numbers is 150. Their difference is 0. What are the numbers? 10. Sedrick needed 7 pencil top erasers. They each cost 10 cents. How much change would Sedrick get back from $5.00?

  5. Long Division Algorithm

  6. To be really good at division, you must learn your multiplication facts. For this lesson, if you don’t know them, you may want to use a multiplication chart like this one:

  7. Vocabulary • dividend - the number you are dividing • divisor- the number you are dividing by • quotient - the evenly divided result • remainder - what is left over that cannot be evenly divided • divisable- can be divided by evenly

  8. 1 is the remainder r 1 27 5, isthe divisor 27,is the quotient 5 136 136, isthe dividend When writing it like this:

  9. 5 Steps in Long Division 1. Divide Dirty Monkeys Smell Bad 2. Multiply 3. Subtract 4. Bring down. 5. Repeat or Remainder

  10. Step 1 in Long Division 1. Divide 4 • Divide 2 into first number in the dividend. 2 ) 9 4 7 • Think how many 2’s will fit into 9. How many 2’s will go into 9? • Write that number directly above the number you divided into.

  11. Step 2 in Long Division 4 2. Multiply • Multiply the divisor times the first number in the quotient. 2 ) 9 4 7 8 2 x 4 = 8 • Write your answer directly under the 9 or the number you just divided into.

  12. Step 3 in Long Division 4 3. Subtract • Draw a line under the 8. 2 ) 9 4 7 8 • Write a subtraction sign next to the 8. 1 • Subtract 8 from 9. • Write your answer directly below the 8.

  13. Step 4 in Long Division 4. Bring down. 4 • Go to the next number in the dividend to the right of the 9. 2 ) 9 4 7 8 1 4 • Write an arrow under the 4. • Bring the 4 down next to the 1.

  14. Step 5 in Long Division 5. Repeat or Remainder 4 • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 8 1 4 • If your divisor can divide into your new number, 14, or if you have numbers in the dividend that have not been brought down, you repeat the 5 steps of division.

  15. Step 1 in Long Division 1. Divide 4 7 • Divide 2 into your new number, 14. 2 ) 9 4 7 8 1 4 • Place your answer directly above the 4 in your quotient.

  16. Step 2 in Long Division 4 7 2. Multiply • Multiply your divisor, 2, with your new number in the quotient, 7. 2 ) 9 4 7 8 1 4 1 4 • Place your answer directly under the 14.

  17. Step 3 in Long Division 4 7 3. Subtract • Draw a line under the bottom 14. 2 ) 9 4 7 8 1 4 • Draw a subtraction sign. 1 4 • Subtract & place answer under the line. 0

  18. Step 4 in Long Division 4 7 4. Bring down. • Put an arrow under • the next number, 7, • in the dividend. 2 ) 9 4 7 8 1 4 1 4 • Bring the 7 down next to the 0. 0 7

  19. Step 5 in Long Division 5. Repeat or Remainder 4 7 • If the 2 will divide into your new number, 7, then repeat the steps of division. 2 ) 9 4 7 8 1 4 1 4 0 7

  20. Step 1 in Long Division 1. Divide 4 7 3 • Divide your divisor, 2, into your new number, 7. 2 ) 9 4 7 8 1 4 1 4 • Place your answer in the quotient next to the 7. 0 7

  21. Step 2 in Long Division 2. Multiply 4 7 3 • Multiply your divisor, 2, by your new number in the quotient, 3. 2 ) 9 4 7 8 1 4 1 4 • Place your answer under the number you brought down, 7. 0 7 6

  22. Step 3 in Long Division 4 7 3 3. Subtract 2 ) 9 4 7 • Draw a line under the number 6. 8 1 4 • Place your subtraction sign. 1 4 0 7 6 • Subtract & put your answer directly under the 6. 1

  23. Step 4 in Long Division 4 7 3 4. Bring down 2 ) 9 4 7 • Look at your dividend to see if there are any more numbers to bring down. 8 1 4 1 4 0 7 6 • If not, move to step 5. 1

  24. Step 5 in Long Division 5. Repeat or Remainder 4 7 3 R1 2 ) 9 4 7 • Since there are no more numbers to bring down & 2 will not divide into 1, you do not repeat the steps of division. 8 1 4 1 4 0 7 • The number left over, 1, becomes the remainder. 6 1

  25. You did it! 4 7 3 You’re awesome! R1 2 ) 9 4 7 8 1 4 1 4 Cool Dude! You’re so smart! 0 7 6 1

  26. 3) 544 Dirty Monkeys Smell Bad 0

  27. You did it! 1 8 1 You’re awesome! R1 3) 5 4 4 3 2 4 2 4 Cool Dude! You’re so smart! 0 4 3 1

  28. 5) 741 Dirty Monkeys Smell Bad 0

  29. You did it! 1 4 8 You’re awesome! R1 5) 7 4 1 5 2 4 2 0 Cool Dude! You’re so smart! 4 1 4 0 1

  30. 6 ) 241 Dirty Monkeys Smell Bad 0

  31. You did it! 4 0 You’re awesome! R1 6 ) 2 4 1 2 4 0 0 Cool Dude! You’re so smart! 0 1 0 1

  32. Online Practice http://www.mrnussbaum.com/draggable_division/division.html http://resources.oswego.org/games/mathmagician/maths1.html

  33. Math Fun: • Haretown and Tortoiseville are 96 miles apart. A rabbit travels at 10 miles per hour from Haretown to Tortoiseville, while a turtle travels at 2 miles per hour from Tortoiseville to Haretown.If both set out at the same time, how many miles will the rabbit have to travel before meeting the turtle en route?

  34. Answer: The hare and the tortoise are together covering the distance at 12 miles per hour (i.e., on adding their speeds). So, they will cover the distance of 96 miles in 8 hours. Thus, in 8 hours, they will meet and the hare will have traveled 80 miles.

  35. Resources: http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf http://math.pppst.com/division.html http://www.syvum.com/cgi/online/fillin.cgi/teasers/hare1.tdf?0 http://resources.oswego.org/games/mathmagician/maths1.html http://www.mrnussbaum.com/draggable_division/division.html

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