VERTICAL MULTIPLICATION & DIVISION
BOOKLET 5
Mastery: Multiplying
3x2, 3x3, & 4x3
GOALS:
PAGES: 4 per day
TIME: 4 minutes per page
MISTAKES: 1 or less per page
Please grade the homework and practice
oral facts DAILY for faster progress.
© 2010 by Gideon Learning
All rights reserved.
For extra help with this booklet, scan the
QR code to the left with your phone or
visit: http://youtu.be/6HJ1RJC9c5E
Student Name _____________________
Date Assigned _____________________
Repetition # _____________________
3UDFWLFH<RXU
2UDO)DFWV),567
Go down one column and just say the answers out loud. Have someone listen to you to
see if you are correct. Then go back up the column. Practice every day to be FAST!
GOAL: 12 sec one way
7:(/9(6
[ [ [ [ [ [ [ [ [ [ [ Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
1.
32,000 ÷ 80 = ______
32,000 ÷ 800 = ______
32,000 ÷ 8000 = ______
DAYS LEFT: 6
TIME: _____ MISTAKES: _____
VMD 5
Write in the missing numbers for the
expanded form.
9432 = 9000 + 400 + 30 + 2
81,056 = 80,000 + 1,000 + 50 + 6
5. 7426 =
2. Put the numbers in order from
least to greatest. (smallest to largest)
6642
6426
6624
6246
__________
__________
__________
__________
3. Neil read 16 pages in a book for 4
days. There are 10 pages left in
the book. How many pages are
in the book?
16 16 16 16 10
Entire book
7000 + ______ + ______ + 6
6. 23,990 =
_________ + 3000 + ______ + 90
7. 4308 =
_________ + ________ + ________
_________________________
8. 90,251 =
4. Paul bought 450 cards split into
packs of 5 for $2 each. How
much money did he spend?
_________ + ________ + ________ + 1
450 ÷ 5 = _____ packs
_________________________
© 2013 by Gideon Learning
All rights reserved.
Page 1
DAYS LEFT: 5.75
TIME: _____ MISTAKES: _____
VMD 5
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 1: Using the Distributive Property
EASY: 300 x 400 = 120,000
SOLVE: 323 x 451 = ____
Split: 323 = 300 + 20 + 3
451 = 400 + 50 + 1
Split both numbers. Multiply each part of the 1st number to each part of
the 2nd number. Then add all products together.
1st: Multiply the 300 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
2nd: Multiply 20 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
323 x 451=
(300 + 20 + 3) x (400 + 50 + 1)
3rd: Multiply 3 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
1. 534 x 627 = (500 + 30 + 4) x (600 + 20 + 7) =
Try writing the groups vertically for quick addition.
300x400 = 120,000
300x50 = 15,000
300x1 =
300
20x400 =
20x50 =
20x1 =
8,000
1,000
20
3x400 = 1,200
3x50 =
150
3x1 =
3
TOTAL = 145,673
Then add all the group totals
together for the answer.
gr. 1 =
313,500
500 x 600 = 300,000
30 x 600 = 18,000
4 x 600 = ______
500 x 20 = 10,000
30 x 20 = ______
4 x 20 = ______
500 x 7 = 3,500
30 x 7 = ______
4 x 7 = ______
gr. 3 = __________
group 1 total = 313,500
group 2 total = ______
group 3 total = ______
TOTAL = __________
gr. 2 = __________
2. 709 x 681 = ( _____ + ____ + ___ ) x ( _____ + ____ + ___ ) =
3. 888 x 333 = ( _____ + ____ + ___ ) x ( _____ + ____ + ___ ) =
© 2013 by Gideon Learning
All rights reserved.
Page 2
DAYS LEFT: 5.5
TIME: _____ MISTAKES: _____
VMD 5
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 2: Using the Standard Algorithm
First multiply the 327 with 6.
Regroup if needed.
1 4
327
x 456
1962
_____
_____
Follow the directions below carefully!
Multiply 327 by 5. Don’t forget the
spacer!
Erase or
cross out
early
regroupings.
1 3
1 4
327
x 456
1962
16350
_____
= 327 x 6
= 327 x 50
= 327 x 400
Then multiply 327 by 4,
and add all three lines.
327
x 456
1962 Put in 2
spacers
16350 for the
+ 130800 3rd line!
149112
ANSWER 149,112
1.
284
x 145
3.
538
x 786
5.
453
x 807
2.
909
x 743
4.
647
x 580
6.
654
x 992
© 2013 by Gideon Learning
All rights reserved.
Page 3
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
DAYS LEFT: 5.25
TIME: _____ MISTAKES: _____
VMD 5
Review
1.
2.
3.
4.
9240
- 4786
2364
- 782
7009
- 6257
5259
- 513
© 2013 by Gideon Learning
All rights reserved.
5.
19 ÷ 2 = ____
6.
37 ÷ 3 = ____
7.
10 ÷ 2 = ____
8.
5 ÷ 3 = ____
9.
8 ÷ 2 = ____
10.
26 ÷ 3 = ____
11.
6 ÷ 2 = ____
12.
24 ÷ 3 = ____
13.
7 ÷ 2 = ____
14.
13 ÷ 3 = ____
15.
14 ÷ 2 = ____
16.
20 ÷ 3 = ____
17.
48
x 63
18.
89
x 42
19.
37
x 53
20.
48
x 30
Page 4
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
1.
99,000 ÷ 110 = ______
9900 ÷ 1100 = ______
99,000 ÷ 1100 = ______
DAYS LEFT: 5
TIME: _____ MISTAKES: _____
VMD 5
Write in the missing numbers for the
expanded form.
81,056 = 80,000 + 1,000 + 50 + 6
230,456 = 200,000 + 30,000 + 400 + 50 + 6
2. Put the numbers in order from
greatest to least. (largest to smallest)
7702
7027
7072
7207
__________
__________
__________
__________
3. Rani had $470. After buying 3
cases of toys, she had $200 left.
How much was each case of
toys?
5. 37,616 =
________ + 7000 + ______ + _____ + 6
6. 7892 =
_________ + 800 + ______ + _____
7. 93,454 =
________________________________
________________________________
_________________________
4. Matthew filled 8 boxes with 10
apples each. There were 6 apples leftover. How many total apples did he have?
8. 295,045 =
________________________________
________________________________
_________________________
© 2013 by Gideon Learning
All rights reserved.
Page 5
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 1: Using the Distributive Property
EASY: 300 x 400 = 120,000
SOLVE: 323 x 451 = ____
Split: 323 = 300 + 20 + 3
451 = 400 + 50 + 1
323 x 451=
(300 + 20 + 3) x (400 + 50 + 1)
DAYS LEFT: 4.75
TIME: _____ MISTAKES: _____
VMD 5
Split both numbers. Multiply each part of the 1st number to each part of
the 2nd number. Then add all products together.
1st: Multiply the 300 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
2nd: Multiply 20 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
3rd: Multiply 3 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
300x400 = 120,000
300x50 = 15,000
300x1 =
300
20x400 =
20x50 =
20x1 =
8,000
1,000
20
3x400 = 1,200
3x50 =
150
3x1 =
3
TOTAL = 145,673
1. 715 x 936 = (700 + _____ + _____ ) x (900 + _____ + ____ ) =
2. 848 x 192 = ( _____ + ____ + ___ ) x (_____ + ____ + ___ ) =
3. 505 x 234 = ( _____ + ____ + ___ ) x (_____ + ____ + ___ ) =
© 2013 by Gideon Learning
All rights reserved.
Page 6
DAYS LEFT: 4.5
TIME: _____ MISTAKES: _____
VMD 5
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 2: Using the Standard Algorithm
First multiply the 327 with 6.
Regroup if needed.
1 4
327
x 456
1962
_____
_____
Follow the directions below carefully!
Multiply 327 by 5. Don’t forget the
spacer!
Erase or
cross out
early
regroupings.
1 3
1 4
327
x 456
1962
16350
_____
= 327 x 6
= 327 x 50
= 327 x 400
Then multiply 327 by 4,
and add all three lines.
327
x 456
1962 Put in 2
spacers
16350 for the
+ 130800 3rd line!
149112
ANSWER 149,112
1.
625
x 862
3.
918
x 625
5.
846
x 103
2.
541
x 937
4.
777
x 222
6.
302
x 893
© 2013 by Gideon Learning
All rights reserved.
Page 7
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Review
1.
2.
3.
4.
7000
- 5368
9322
- 692
5423
- 3059
3689
- 796
© 2013 by Gideon Learning
All rights reserved.
DAYS LEFT: 4.25
TIME: _____ MISTAKES: _____
VMD 5
5.
25 ÷ 4 = ____
6.
54 ÷ 5 = ____
7.
22 ÷ 4 = ____
8.
23 ÷ 5 = ____
9.
11 ÷ 4 = ____
10.
11 ÷ 5 = ____
11.
17 ÷ 4 = ____
12.
9 ÷ 5 = ____
13.
51 ÷ 4 = ____
14.
34 ÷ 5 = ____
15.
45 ÷ 4 = ____
16.
43 ÷ 5 = ____
17.
98
x 56
18.
56
x 80
19.
64
x 35
20.
73
x 49
Page 8
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
1. 108,000 ÷ 120
= ______
10,800 ÷ 1200 = ______
108,000 ÷ 12,000 = ______
DAYS LEFT: 4
TIME: _____ MISTAKES: _____
VMD 5
Write in the missing numbers for the
expanded form.
81,056 = 80,000 + 1,000 + 50 + 6
230,456 = 200,000 + 30,000 + 400 + 50 + 6
5. 653,205 =
2. Put the numbers in order from
least to greatest.
35,874
38,547
37,845
37,854
__________
__________
__________
__________
3. Andrea bought 40 boxes of
doughnuts. There were 12
doughnuts in each box. She divided the doughnuts among 80
people. How many did each person receive?
600,000 + ________________________
________________________________
6. 584,052 =
________________________________
________________________________
7. 703,084 =
_________________________
________________________________
4. A rancher had 5000 horses and
cows. After selling some of each,
he had 1,352 cows and 3,451
horses left. How many animals
did he sell?
________________________________
8. 330,509 =
________________________________
_________________________
© 2013 by Gideon Learning
All rights reserved.
________________________________
Page 9
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 1: Using the Distributive Property
EASY: 300 x 400 = 120,000
SOLVE: 323 x 451 = ____
Split: 323 = 300 + 20 + 3
451 = 400 + 50 + 1
323 x 451=
(300 + 20 + 3) x (400 + 50 + 1)
DAYS LEFT: 3.75
TIME: _____ MISTAKES: _____
VMD 5
Split both numbers. Multiply each part of the 1st number to each part of
the 2nd number. Then add all products together.
1st: Multiply the 300 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
2nd: Multiply 20 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
3rd: Multiply 3 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
300x400 = 120,000
300x50 = 15,000
300x1 =
300
20x400 =
20x50 =
20x1 =
8,000
1,000
20
3x400 = 1,200
3x50 =
150
3x1 =
3
TOTAL = 145,673
1. 894 x 765 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
2. 633 x 248 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
3. 392 x 556 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
© 2013 by Gideon Learning
All rights reserved.
Page 10
DAYS LEFT: 3.5
TIME: _____ MISTAKES: _____
VMD 5
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 2: Using the Standard Algorithm
First multiply the 327 with 6.
Regroup if needed.
1 4
327
x 456
1962
_____
_____
Follow the directions below carefully!
Multiply 327 by 5. Don’t forget the
spacer!
Erase or
cross out
early
regroupings.
1 3
1 4
327
x 456
1962
16350
_____
= 327 x 6
= 327 x 50
= 327 x 400
Then multiply 327 by 4,
and add all three lines.
327
x 456
1962 Put in 2
spacers
16350 for the
+ 130800 3rd line!
149112
ANSWER 149,112
1.
286
x 814
3.
5132
x 968
5.
256
x 355
2.
145
x 397
4.
4432
x 850
6.
719
x 634
© 2013 by Gideon Learning
All rights reserved.
Page 11
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Review
1.
2.
3.
4.
9956
- 7748
4591
- 427
8030
- 6719
7006
- 982
© 2013 by Gideon Learning
All rights reserved.
DAYS LEFT: 3.25
TIME: _____ MISTAKES: _____
VMD 5
5.
14 ÷ 6 = ____
6.
55 ÷ 7 = ____
7.
29 ÷ 6 = ____
8.
44 ÷ 7 = ____
9.
50 ÷ 6 = ____
10.
33 ÷ 7 = ____
11.
17 ÷ 6 = ____
12.
76 ÷ 7 = ____
13.
56 ÷ 6 = ____
14.
45 ÷ 7 = ____
15.
74 ÷ 6 = ____
16.
82 ÷ 7 = ____
17.
25
x 86
18.
99
x 33
19.
89
x 12
20.
56
x 72
Page 12
VMD 5
Vertical Multiplication & Division Booklet 5
1
2
3
4
400
40
4
6246
6,426
6624
6642
74
$180
Page 1
5 400+20
6 20,000+900
7 4000+300+8
8 90,000+200+50
1
Page 2
(500 + 30 + 4) x (600 + 20 + 7)
1) 300,000 + 10,000 + 3500 = 313,500 2) 18,000 + 600 + 210 = 18810
3) 2400 + 800 + 28 = 3228
2
2
3
4
5
6
1
420,000 + 56,000 + 700 + 5400 + 720 + 9
3
482,829
(800 + 80 + 8) x (300 + 30 + 3)
240,000 + 24,000 + 2400 + 24,000 + 2400 + 240 + 2400 + 240 + 24
295,704
2
3
4
41,180
675,387
422,868
375,260
365,571
648,768
900
9
90
7702
7,207
7072
7027
$90
86
1
2
3
4
4454
1582
752
4746
5
6
7
8
9
10
Page 5
5 30,000+600+10
6 7000+90+2
7 90,000+3000+
400+50+4
1
2
3
4
5
6
538,750
506,917
573,750
172,494
87,138
269,686
Page 4
9 r 1 11
3
12 r 1 12
8
5
13 3 r 1
1 r 2 14 4 r 1
4
15
7
8 r 2 16 6 r 2
17
18
19
20
3024
3738
1961
1440
Page 6
(700 + 10 + 5) x (900 + 30 + 6)
630,000 + 21,000 + 4200 + 9000 + 300 + 60 + 4500 + 150 + 30
2
669,240
(800 + 40 + 8) x (100 + 90 + 2)
80,000 + 72,000 + 1600 + 4000 + 3600 + 80 + 800 + 720 + 16
8
200,000+
90,000+5000+
40+5
3
162,816
(500 + 5) x (200 + 30 + 4)
100,000 + 15,000 + 2000 + 1000 + 150 + 20
118,170
Page 7
1
334,818
(700 + 9) x (600 + 80 + 1)
Page 3
1
1)+2)+3) =
1
2
3
4
1632
8630
2364
2893
5
6
7
8
9
10
Page 8
6 r 1 11 4 r 1
10 r 4 12 1 r 4
5 r 2 13 12 r 3
4 r 3 14 6 r 4
2 r 3 15 11 r 1
2 r 1 16 8 r 3
17
18
19
20
5488
4480
2240
3577
90'
9HUWLFDO0XOWLSOLFDWLRQ'LYLVLRQ%RRNOHW
Page 9
1
2
3
4
900
9
9
35,874
37,845
37,854
38,547
6
197
5 50,000 + 3000 +
200 + 5
6 500,000 + 80,000
+ 4000 + 50 + 2
1
Page 10
(800 + 90 + 4) x (700 + 60 + 5)
560,000 + 48,000 + 4000 + 63,000 + 5400 + 450 + 2800 + 240 + 20
2
683,910
(600 + 30 + 3) x (200 + 40 + 8)
120,000 + 24,000 + 4800 + 6000 + 1200 + 240 + 600 + 120 + 24
7 700,000 + 3000
+ 80 + 4
8 300,000 + 30,000
+ 500 + 9
3
156,984
(300 + 90 + 2) x (500 + 50 + 6)
150,000 + 15,000 + 1800 + 45,000 + 4500 + 540 + 1000 + 100 + 12
217,952
Page 11
1
2
3
4
5
6
1
2
232,804
57,565
4,967,776
3,767,200
90,880
455,846
Page 13
70
5
6
6
3
7
7
7
1
43,566 8
4
45,366 9
2
45,656 10
0
45,663
3
4
1
2
3
4
2208
4164
1311
6024
5
6
7
8
9
10
1
2
3
4
5
6
17
18
19
20
2150
3267
1068
4032
Page 14
(100 + 70 + 6) x (800 + 80 + 3)
80,000 + 8000 + 300 + 56,000 + 5600 + 210 + 4800 + 480 + 18
2
155,408
(800 + 90 + 3) x (700 + 40 + 5)
560,000 + 32,000 + 4000 + 63,000 + 3600 + 450 + 2100 + 120 + 15
3
178
$4500
'665,285
(900 + 10 + 2) x (200 + 8)
180,000 + 7200 + 2000 + 80 + 400 + 16
189,696
Page 15
1
2r2
7r6
4r5
6r2
8r2
4r5
Page 12
11 2 r 5
12 10 r 6
13 9 r 2
14 6 r 3
15 12 r 2
16 11 r 5
56,088
209,934
4,567,716
2,021,526
214,008
340,308
1
2
3
4
2882
9067
6049
7874
5
6
7
8
9
10
Page 16
10 r 3 11
3
7 r 8 12 6 r 4
12 r 5 13 11 r 2
2 r 6 14 12 r 2
5 r 7 15 2 r 6
8 r 3 16 7 r 2
17
18
19
20
2904
2117
4505
6664
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
1.
8100 ÷ 90
= ______
81,000 ÷ 900 = ______
81,000 ÷ 9000 = ______
TIME: _____ MISTAKES: _____
VMD 5
TEST—TIME CAREFULLY!
Answer the questions for the given number.
12,950,483
5. How many hundred thousands?
2. Put the numbers in order from
least to greatest.
74,381
73,814
74,831
73,418
__________
__________
__________
__________
3. Roger had $395. After buying 6
cases of toys, she had $95 left.
How much was each case of
toys?
6. How many ten millions?
7. How many hundreds?
8. How many ten thousands?
9. How many millions?
_________________________
4. Ty bought 4200 cards split into
packs of 7 for $8 each. How
much money did he spend?
10. How many thousands?
_________________________
© 2013 by Gideon Learning
All rights reserved.
Page 1
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Solve using the distributive property.
TIME: _____ MISTAKES: _____
VMD 5
TEST—TIME CAREFULLY!
1. 176 x 883 = ( _____ + ____ + ___ ) x ( _____ + ____ + ___ ) =
2. 893 x 745 = ( _____ + ____ + ___ ) x ( _____ + ____ + ___ ) =
3. 912 x 208 = ( _____ + ____ + ___ ) x ( _____ + ____ + ___ ) =
© 2013 by Gideon Learning
All rights reserved.
Page 2
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Solve using the standard algorithm.
TIME: _____ MISTAKES: _____
VMD 5
TEST—TIME CAREFULLY!
1.
944
x 372
3.
6253
x 1134
5.
827
x 394
2.
345
x 678
4.
9602
x 7341
6.
636
x 540
© 2013 by Gideon Learning
All rights reserved.
Page 3
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Review
1.
2.
3.
4.
9956
- 7748
4591
- 427
8030
- 6719
7006
- 982
© 2013 by Gideon Learning
All rights reserved.
TIME: _____ MISTAKES: _____
VMD 5
TEST—TIME CAREFULLY!
5.
14 ÷ 6 = ____
6.
55 ÷ 7 = ____
7.
29 ÷ 6 = ____
8.
44 ÷ 7 = ____
9.
50 ÷ 6 = ____
10.
33 ÷ 7 = ____
11.
17 ÷ 6 = ____
12.
76 ÷ 7 = ____
13.
56 ÷ 6 = ____
14.
45 ÷ 7 = ____
15.
74 ÷ 6 = ____
16.
82 ÷ 7 = ____
17.
25
x 86
18.
99
x 33
19.
89
x 12
20.
56
x 72
Page 4
90'
9HUWLFDO0XOWLSOLFDWLRQ'LYLVLRQ%RRNOHW
1
2
3
4
Page 17
90
5
5
6
3
9
90
7
2
12,430 8
0
9
12,403 9
12,340 10
4
12,034
$120
219
1
Page 18
(600 + 40 + 2) x (300 + 40 + 5)
180,000 + 24,000 + 3000 + 12,000 + 1600 + 200 + 600 + 80 + 10
2
221,490
(500 + 80 + 1) x (200 + 60 + 3)
100,000 + 30,000 + 1500 + 16,000 + 4800 + 240 + 200 + 60 + 3
3
152,803
(800 + 30 + 4) x (100 + 90 + 2)
80,000 + 72,000 + 1600 + 3000 + 2700 + 60 + 400 + 360 + 8
160,128
Page 19
1
2
3
4
5
6
1
2
3
4
214,969
137,780
63,072,850
11,859,362
303,726
197,847
Page 21
70
5
5
6
0
7
7
7
6
85,476 8
3
8
85,467 9
84,576 10
4
84,567
5
188
1
2
3
4
625
5678
7786
7757
5
6
7
8
9
10
1
2
3
4
5
6
231,478
72,373
17,077,437
6,460,632
415,688
115,200
17
18
19
20
2376
1216
792
9702
Page 22
(600 + 40 + 2) x (300 + 40 + 5)
180,000 + 24,000 + 3000 + 12,000 + 1600 + 200 + 600 + 80 + 10
2
221,490
(500 + 80 + 1) x (200 + 60 + 3)
100,000 + 30,000 + 1500 + 16,000 + 4800 + 240 + 200 + 60 + 3
3
152,803
(800 + 30 + 4) x (100 + 90 + 2)
80,000 + 72,000 + 1600 + 3000 + 2700 + 60 + 400 + 360 + 8
160,128
Page 23
1
Page 20
12 r 3 11 10 r 8
9 r 6 12 12 r 7
11 r 8 13 3 r 6
8 r 6 14 8 r 3
5 r 6 15 1 r 6
5 r 9 16 6 r 6
1
2
3
4
5465
4709
8722
2713
5
6
7
8
9
10
Page 24
5 r 2 11 10 r 9
10 r 5 12 7 r 6
11 r 3 13 6 r 3
2 r 3 14 2 r 10
3 r 7 15 5 r 5
12 r 7 16 7 r 8
17
18
19
20
1225
2278
1104
2280
VMD 5
Vertical Multiplication & Division Booklet 5
TEST
1
2
3
4
1
2
3
4
5
6
1
2
3
4
T - Page 1
90
5
9
90
6
1
9
7
4
73,418 8
5
73,814 9
2
74,381 10
0
74,831
$50
$4800
T - Page 3
351,168
233,910
7,090,902
70,488,282
325,838
343,440
REVIEW - Page 25
4516 5 7458 9 1699
4493 6 441 10 8569
1273 7 6689 11 1764
6453 8 951 12 8454
1
T - Page 2
(100 + 70 + 6) x (800 + 80 + 3)
80,000 + 8000 + 300 + 56,000 + 5600 + 210 + 4800 + 480 + 18
2
155,408
(800 + 90 + 3) x (700 + 40 + 5)
560,000 + 32,000 + 4000 + 63,000 + 3600 + 450 + 2100 + 120 + 15
3
'665,285
(900 + 10 + 2) x (200 + 8)
180,000 + 7200 + 2000 + 80 + 400 + 16
189,696
1
2
3
4
2208
4164
1311
6024
5
6
7
8
9
10
2r2
7r6
4r5
6r2
8r2
4r5
T - Page 4
11 2 r 5
12 10 r 6
13 9 r 2
14 6 r 3
15 12 r 2
16 11 r 5
17
18
19
20
2150
3267
1068
4032
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
1.
8400 ÷ 120 = ______
8400 ÷ 1200 = ______
84,000 ÷ 12,000 = ______
DAYS LEFT: 3
TIME: _____ MISTAKES: _____
VMD 5
Answer the questions for the given number.
3,406,128
5. How many thousands?
2. Put the numbers in order from
least to greatest.
45,663
45,366
43,566
45,656
__________
__________
__________
__________
3. Jani read 24 pages in a book
each day for 6 days. There are
34 pages left in the book. How
many pages are in the book?
6. How many millions?
7. How many hundreds?
8. How many hundred thousands?
9. How many tens?
_________________________
4. Shruti bought 3,600 cards split
into packs of 4 for $5 each. How
much money did she spend?
10. How many ten thousands?
_________________________
© 2013 by Gideon Learning
All rights reserved.
Page 13
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 1: Using the Distributive Property
EASY: 300 x 400 = 120,000
SOLVE: 323 x 451 = ____
Split: 323 = 300 + 20 + 3
451 = 400 + 50 + 1
323 x 451=
(300 + 20 + 3) x (400 + 50 + 1)
DAYS LEFT: 2.75
TIME: _____ MISTAKES: _____
VMD 5
Split both numbers. Multiply each part of the 1st number to each part of
the 2nd number. Then add all products together.
1st: Multiply the 300 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
2nd: Multiply 20 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
3rd: Multiply 3 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
300x400 = 120,000
300x50 = 15,000
300x1 =
300
20x400 =
20x50 =
20x1 =
8,000
1,000
20
3x400 = 1,200
3x50 =
150
3x1 =
3
TOTAL = 145,673
1. 176 x 883 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
2. 893 x 745 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
3. 912 x 208 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
© 2013 by Gideon Learning
All rights reserved.
Page 14
DAYS LEFT: 2.5
TIME: _____ MISTAKES: _____
VMD 5
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 2: Using the Standard Algorithm
First multiply the 327 with 6.
Regroup if needed.
1 4
327
x 456
1962
_____
_____
Follow the directions below carefully!
Multiply 327 by 5. Don’t forget the
spacer!
Erase or
cross out
early
regroupings.
1 3
1 4
327
x 456
1962
16350
_____
= 327 x 6
= 327 x 50
= 327 x 400
Then multiply 327 by 4,
and add all three lines.
327
x 456
1962 Put in 2
spacers
16350 for the
+ 130800 3rd line!
149112
ANSWER 149,112
1.
123
x 456
3.
6309
x 724
5.
964
x 222
2.
654
x 321
4.
8639
x 234
6.
621
x 548
© 2013 by Gideon Learning
All rights reserved.
Page 15
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Review
1.
4567
- 1685
5.
83 ÷ 8 = ____
6.
71 ÷ 9 = ____
7. 101
2.
3.
4.
9962
- 895
6708
- 659
8630
- 756
© 2013 by Gideon Learning
All rights reserved.
DAYS LEFT: 2.25
TIME: _____ MISTAKES: _____
VMD 5
÷8
8.
24 ÷ 9
9.
47 ÷ 8
= ____
= ____
= ____
= ____
= ____
= ____
= ____
= ____
10.
75 ÷ 9
11.
24 ÷ 8
12.
58 ÷ 9
13.
90 ÷ 8
14.
110 ÷ 9
15.
22 ÷ 8 = ____
16.
65 ÷ 9 = ____
17.
44
x 66
18.
73
x 29
19.
53
x 85
20.
98
x 68
Page 16
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
1.
5400 ÷ 60 = ______
5400 ÷ 600 = ______
540,000 ÷ 6000 = ______
DAYS LEFT: 2
TIME: _____ MISTAKES: _____
VMD 5
Answer the questions for the given number.
45,092,367
5. How many millions?
2. Put the numbers in order from
greatest to least.
12,034
12,340
12,430
12,403
__________
__________
__________
__________
3. Laura had $636. After buying 5
cases of toys, she had $36 left.
How much was each case of
toys?
6. How many hundreds?
7. How many thousands?
8. How many hundred thousands?
9. How many ten thousands?
_________________________
4. Duane filled 17 boxes with 12 apples each. There were 15 apples
leftover. How many total apples
did he have?
10. How many ten millions?
_________________________
© 2013 by Gideon Learning
All rights reserved.
Page 17
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 1: Using the Distributive Property
EASY: 300 x 400 = 120,000
SOLVE: 323 x 451 = ____
Split: 323 = 300 + 20 + 3
451 = 400 + 50 + 1
323 x 451=
(300 + 20 + 3) x (400 + 50 + 1)
DAYS LEFT: 1.75
TIME: _____ MISTAKES: _____
VMD 5
Split both numbers. Multiply each part of the 1st number to each part of
the 2nd number. Then add all products together.
1st: Multiply the 300 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
2nd: Multiply 20 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
3rd: Multiply 3 by 400, 50, & 1:
(300 + 20 + 3) x (400 + 50 + 1)
300x400 = 120,000
300x50 = 15,000
300x1 =
300
20x400 =
20x50 =
20x1 =
8,000
1,000
20
3x400 = 1,200
3x50 =
150
3x1 =
3
TOTAL = 145,673
1. 642 x 345 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
2. 581 x 263 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
3. 834 x 192 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
© 2013 by Gideon Learning
All rights reserved.
Page 18
DAYS LEFT: 1.5
TIME: _____ MISTAKES: _____
VMD 5
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Method 2: Using the Standard Algorithm
First multiply the 327 with 6.
Regroup if needed.
1 4
327
x 456
1962
_____
_____
Follow the directions below carefully!
Multiply 327 by 5. Don’t forget the
spacer!
Erase or
cross out
early
regroupings.
1 3
1 4
327
x 456
1962
16350
_____
= 327 x 6
= 327 x 50
= 327 x 400
Then multiply 327 by 4,
and add all three lines.
327
x 456
1962 Put in 2
spacers
16350 for the
+ 130800 3rd line!
149112
ANSWER 149,112
1.
227
x 947
3.
7739
x 8150
5.
681
x 446
2.
415
x 332
4.
5534
x 2143
6.
267
x 741
© 2013 by Gideon Learning
All rights reserved.
Page 19
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Review
1.
3000
- 2375
2.
6553
- 875
3.
8020
- 234
4.
8339
- 582
123 ÷ 10 =
___
6. 105 ÷ 11 = ___
7. 118 ÷ 10 = ___
8. 94 ÷ 11 = ___
9. 56 ÷ 10 = ___
10. 64 ÷ 11 = ___
11. 108 ÷ 10 = ___
12. 139 ÷ 11 = ___
13. 36 ÷ 10 = ___
14. 91 ÷ 11 = ___
5.
15.
16.
© 2013 by Gideon Learning
All rights reserved.
DAYS LEFT: 1.25
TIME: _____ MISTAKES: _____
VMD 5
16 ÷ 10
= ___
72 ÷ 11 = ___
17.
72
x 33
18.
64
x 19
19.
24
x 33
20.
99
x 98
Page 20
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
1.
3500 ÷ 50 = ______
3500 ÷ 500 = ______
35,000 ÷ 5000 = ______
DAYS LEFT: 1
TIME: _____ MISTAKES: _____
VMD 5
CAN BE USED AS A TEST
Answer the questions for the given number.
80,345,679
5. How many thousands?
2. Put the numbers in order from
greatest to least.
84,567
85,467
84,576
85,476
__________
__________
__________
__________
3. Monica bought 30 boxes of
doughnuts. There were 15
doughnuts in each box. She divided the doughnuts among 90
people. How many did each person receive?
6. How many millions?
7. How many hundreds?
8. How many hundred thousands?
9. How many ten millions?
_________________________
4. A famer had 2000 horses and
cows. After selling some of each,
he had 543 cows and 1,269 horses left. How many animals did he
sell?
10. How many ten thousands?
_________________________
© 2013 by Gideon Learning
All rights reserved.
Page 21
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Solve using the distributive property.
DAYS LEFT: 0.75
TIME: _____ MISTAKES: _____
VMD 5
CAN BE USED AS A TEST
1. 642 x 345 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
2. 581 x 263 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
3. 834 x 192 = (_____ + ____ + ___ ) x (_____ + ____ + ___ ) =
© 2013 by Gideon Learning
All rights reserved.
Page 22
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
DAYS LEFT: 0.5
TIME: _____ MISTAKES: _____
VMD 5
CAN BE USED AS A TEST
Solve using the standard algorithm.
1.
614
x 377
3.
5787
x 2951
5.
728
x 571
2.
211
x 343
4.
5884
x 1098
6.
256
x 450
© 2013 by Gideon Learning
All rights reserved.
Page 23
Vertical Multiplication and Division Booklet 5
Mastery: Multiplying 3x3, 4x3, & 4x4
Review
1.
2.
3.
4.
8200
- 2735
5635
- 926
9216
- 494
3000
- 287
© 2013 by Gideon Learning
All rights reserved.
DAYS LEFT: 0.25
TIME: _____ MISTAKES: _____
VMD 5
CAN BE USED AS A TEST
5.
62 ÷ 12 = ___
6.
125 ÷ 12 = ___
7.
135 ÷ 12 = ___
8.
27 ÷ 12 = ___
9.
43 ÷ 12 = ___
10.
151 ÷ 12 = ___
11.
129 ÷ 12 = ___
12.
90 ÷ 12 = ___
13.
75 ÷ 12 = ___
14.
34 ÷ 12 = ___
15.
65 ÷ 12 = ___
16.
92 ÷ 12 = ___
17.
25
x 49
18.
34
x 67
19.
48
x 23
20.
76
x 30
Page 24
9HUWLFDO$GGLWLRQDQG6XEWUDFWLRQ%RRNOHW
9$6
REVIEW
6XEWUDFWLRQ8QJURXSLQJ'
Write the difference. Ungrouping is needed for some problems.
1.
6244
- 1728
5.
7891
- 433
9.
7342
- 5643
2.
5000
- 507
6.
9797
- 9356
10.
9471
- 902
3.
4005
- 2732
7.
7603
- 914
11.
8600
- 6836
7416
- 963
8.
9000
- 8049
12.
9342
- 888
4.
© 2009 by Gideon Learning
All rights reserved.
Page 25
VERTICAL
MULTIPLICATION & DIVISION
What’s coming next?
Fractions
F1: Equivalent &
Simple Reduction
10 booklets: Higher Multiplication & Division
F2: GCF &
Harder Reduction
VMD1: Mult. 2x1 & 3x1:
Regrouping Once
VMD6: Long Div. A:
Dividing 2÷1
F3: Improper Fractions
& Mixed Fractions
VMD2: Mult. 2x1, 3x1, 4x1:
Regrouping Twice
VMD7: Long Div. B:
Dividing 3÷1
F4: Add/Sub. Fractions
-LIKE Denominators
VMD3: Intro: Multiplying 2x2
VMD8: Long Div. C:
Dividing 2÷2
F5: Add/Sub. Mixed Numb.
-LIKE Denom.
VMD4: Practice:
Multiplying 2x2 & 3x2
VMD5: Mastery:
Multiplying 3x3, 4x3, & 4x4
VMD9: Long Div. D:
Dividing 3÷2, 4÷2, & 5÷2
F6: Add/Sub. Fract.
-UNLIKE Denom. I
VMD10: VM-VD Review
F7: Add/Subtract Fract.
-UNLIKE Denom. II
Level Highlights:
-standard algorithm practice for vertical multiplication
problems with digits up to 4 x 4
-standard algorithm practice for long division problems
with digits up to 5 ÷ 3
-distributive property practice for multiplication problems
with digits up to 3 x 3
F8: Add/Sub. Mixed Numb.
-UNLIKE Denom. I
F9: Add/Sub. Mixed Numb.
-UNLIKE Denom. II
F10: Multiply/Divide
-Fractions
F11: Multiply/Divide
-Mixed Numbers
-vedic math tricks for multiply base 10 and base 100 numbers
F12: Review
-pictorial algebraic concepts—inspired by Singapore Math
-place value, time passage, factors and multiples, & perimeter
and area
-daily practice: 1 page of concept or word problems +
3 pages of math drill concept
How to help your child do his or her best:
1) Have your child practice oral facts on the inside front cover each day before starting.
2) Have your child do 4 pages each day while being timed.
3) Grade the work each day and have your child correct any mistakes.
4) Remove any distractions and encourage your child to stay focused for the entire four
page set. This is also a good skill for building concentration.