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Different Methods for                                                 Glossary
                                                                       Quotient: the answer to a division question
                                                                       Product: the answer to a multiplication question



 Multiplying and Dividing
                                                                       Multiplicand: if 25x2 is the equation, then 25 is the multiplicand
                                                                       Multiplier: if 25x2 is the equation, then 2 is the multiplier
                                                                       Dividend: if 30 2 is the equation, then 30 is the dividend
                                                                       Divisor: If 30    2 is the equation, then 2 is the divisor
                                                                       Equation: the question/problem
                                                                       Remainder: The left-over number
                                        By Charlotte

    Short	 Division                  Partial Product
                                                                      Lattice (Multiplication)
                                  70 (Multiplication)
Short	 Division	 is	 the	                                                       Steps:
                                 x59
                                          Steps:                 1. Draw a square
exact	 same	 thing	 as	 
                                   The equation is 70x59         2. Split the square into 4 equal parts
Chunking,	 except	 the	                                          3. If the equation is 13x24, then write
digits	 have	 to	 be	 2	                                            1 and 3 on the top and 2 and 4 on
by	 2,	 1	 by	 2,	 or	 1	 by	  1.First, do 9x0, which equals        the side: 1      3
                                 to 0
1,	 you	 can	 do	 the	         2. 9x7=63, but add a 0 to the                                         2
equation	 in	 your	              back because the 7 is
head!                            actually 70, so 630                                                 4
Example:	 5	 divided	  3. Then, 5x0=0
                                                                 4. Then, draw 3 diagonal lines
by	 2=	 2R3,	 you	 can	  4. 5x7=35, but add a 0
                                 because 7 is in the tens           facing the left:
do	 it	 instantly.
                             place                                            1      3
                           5. Add them all up                                                        2
                           6. Your product is 980
                                                                                                     4


                                  Chunking (Division)            5. Start multiplying: 2x3=6, so
                                        Steps:                      write 06 in the space in between 2
                                    The equation is                 and 3:


                                                                                             0
                                                                                                 6
                          1. How many 25s can fit into 53 but
                             is smaller than that? Answer: 2
                             (25x2=50)
                          2. Write 2 on top of the 3, because
                             you were doing 53, not just 5.
                                                                 6. 2x1 is to, so write 02 in the spaces
                                    21                              next to the one before
                                                                 7. 3x4=12, so write 12 in the space
                                                                    below 06, because that’s in between
                                   50                               the 3 and 4
                                     38
                          3. Write 50 under 53 because thats
                                                                 8. 4x1 is 4, so write 04 in the last
                                                                    space
                             what 2x25 is                        9. In each space(in between 2
                          4. Subtract. 53-50=3, so draw a line      diagonal lines), write the sum:
                             and write 3 underneath the line
                          5. 25 can’t fit into 3, so drag the 8
                             down so its 38
                          6. How many 25s can fit into 38? 1,                       0         0
                                                                          0            2         6
                             so write 1 next to the 2.
                          7. 38-25=13, and no 25s can fit                           0         1
                                                                               3       4         2
                             into 13, so you can do
                             remainder or make the answer                          1         2
                             a decimal(but I’m going to
                             show you the remainder). The        10. Your product is 312!
                             quotient is 21R13.

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Methods for multiplying & dividing

  • 1. Different Methods for Glossary Quotient: the answer to a division question Product: the answer to a multiplication question Multiplying and Dividing Multiplicand: if 25x2 is the equation, then 25 is the multiplicand Multiplier: if 25x2 is the equation, then 2 is the multiplier Dividend: if 30 2 is the equation, then 30 is the dividend Divisor: If 30 2 is the equation, then 2 is the divisor Equation: the question/problem Remainder: The left-over number By Charlotte Short Division Partial Product Lattice (Multiplication) 70 (Multiplication) Short Division is the Steps: x59 Steps: 1. Draw a square exact same thing as The equation is 70x59 2. Split the square into 4 equal parts Chunking, except the 3. If the equation is 13x24, then write digits have to be 2 1 and 3 on the top and 2 and 4 on by 2, 1 by 2, or 1 by 1.First, do 9x0, which equals the side: 1 3 to 0 1, you can do the 2. 9x7=63, but add a 0 to the 2 equation in your back because the 7 is head! actually 70, so 630 4 Example: 5 divided 3. Then, 5x0=0 4. Then, draw 3 diagonal lines by 2= 2R3, you can 4. 5x7=35, but add a 0 because 7 is in the tens facing the left: do it instantly. place 1 3 5. Add them all up 2 6. Your product is 980 4 Chunking (Division) 5. Start multiplying: 2x3=6, so Steps: write 06 in the space in between 2 The equation is and 3: 0 6 1. How many 25s can fit into 53 but is smaller than that? Answer: 2 (25x2=50) 2. Write 2 on top of the 3, because you were doing 53, not just 5. 6. 2x1 is to, so write 02 in the spaces 21 next to the one before 7. 3x4=12, so write 12 in the space below 06, because that’s in between 50 the 3 and 4 38 3. Write 50 under 53 because thats 8. 4x1 is 4, so write 04 in the last space what 2x25 is 9. In each space(in between 2 4. Subtract. 53-50=3, so draw a line diagonal lines), write the sum: and write 3 underneath the line 5. 25 can’t fit into 3, so drag the 8 down so its 38 6. How many 25s can fit into 38? 1, 0 0 0 2 6 so write 1 next to the 2. 7. 38-25=13, and no 25s can fit 0 1 3 4 2 into 13, so you can do remainder or make the answer 1 2 a decimal(but I’m going to show you the remainder). The 10. Your product is 312! quotient is 21R13.