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9G chapter 2 Division

9G chapter 2 Division

Assessment

Presentation

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

Created by

Asher Katz

FREE Resource

10 Slides • 72 Questions

1

Everyone has been struggling with the idea of division.
This will hopefully help

2

Multiple Choice

10(5) = ?10\left(5\right)\ =\ ?

1
50
2
15
3
25
4
40
5

45

3

Multiple Choice

2⋅5⋅5 = ?2\cdot5\cdot5\ =\ ?

1
50
2
15
3
10
4
25
5
100

4

Multiple Choice

15(10) = ?15\left(10\right)\ =\ ?

1
50
2

30

3

100

4
25
5

150

5

Multiple Choice

15⋅2⋅5 = ?15\cdot2\cdot5\ =\ ?

1
50
2

30

3

100

4
25
5

150

6

Multiple Choice

3⋅5⋅2⋅5 = ?3\cdot5\cdot2\cdot5\ =\ ?

1
50
2

30

3

100

4
25
5

150

7

Multiple Choice

8(12) = ?8\left(12\right)\ =\ ?

1
80
2
96
3
72
4
104
5
90

8

Multiple Choice

2(4)(12) = ?2\left(4\right)\left(12\right)\ =\ ?

1
80
2
96
3
72
4
104
5
90

9

Multiple Choice

2(4)(3)(4) = ?2\left(4\right)\left(3\right)\left(4\right)\ =\ ?

1
80
2
96
3
72
4
104
5
90

10

Multiple Choice

2(2)(2)(3)(2)(2) = ?2\left(2\right)\left(2\right)\left(3\right)\left(2\right)\left(2\right)\ =\ ?

1
80
2
96
3
72
4
104
5
90

11

Multiple Choice

20⋅18= ?20\cdot18=\ ?

1
200
2
380
3
250
4
420
5
360

12

Multiple Choice

2⋅10⋅18= ?2\cdot10\cdot18=\ ?

1
200
2
380
3
250
4
420
5
360

13

Multiple Choice

2⋅2⋅5⋅18= ?2\cdot2\cdot5\cdot18=\ ?

1
200
2
380
3
250
4
420
5
360

14

Multiple Choice

2⋅2⋅5⋅2⋅6= ?2\cdot2\cdot5\cdot2\cdot6=\ ?

1
240
2
50
3
100
4

360

5
20

15

Multiple Choice

2⋅2⋅5⋅2⋅9= ?2\cdot2\cdot5\cdot2\cdot9=\ ?

1
200
2
380
3
250
4
420
5
360

16

Multiple Choice

2⋅2⋅5⋅2⋅3⋅3= ?2\cdot2\cdot5\cdot2\cdot3\cdot3=\ ?

1
200
2
380
3
250
4
420
5
360

17

Multiplication written out

18

Multiplication is the opposite of division

19

Multiple Choice

10 1 (10 −1) =?10\ ^{1\ }\left(10^{\ -1}\right)\ =?

1

1

2

100

3

10

4

-1

5

-10

20

Multiple Choice

101 (1101) =?10^1\ \left(\frac{1}{10^1}\right)\ =?

1

1

2

100

3

10

4

-1

5

-10

21

Multiple Choice

101101 =?\frac{10^1}{10^1}\ =?

1

1

2

100

3

10

4

-1

5

-10

22

Multiple Choice

10 1 (10 −1)  is the same as   10(110) is the same as      101010\ ^{1\ }\left(10^{\ -1}\right)\ \ is\ the\ same\ as\ \ \ 10\left(\frac{1}{10}\right)\ is\ the\ same\ as\ \ \ \ \ \ \frac{10}{10^{ }}

1

Yes

2

No

23

Multiple Choice

81 (8−1) =?8^1\ \left(8^{-1}\right)\ =?

1

1

2

8

3

-8

4

-1

5

64

24

Multiple Choice

81 (181) =?8^1\ \left(\frac{1}{8^1}\right)\ =?

1

1

2

8

3

-8

4

-1

5

64

25

Multiple Choice

88=?\frac{8}{8}=?

1

1

2

8

3

-8

4

-1

5

64

26

Multiple Choice

81 (8−1)  is the same as   8(18) is the same as      888^{1\ }\left(8^{-1}\right)\ \ is\ the\ same\ as\ \ \ 8\left(\frac{1}{8}\right)\ is\ the\ same\ as\ \ \ \ \ \ \frac{8}{8}

1

Yes

2

No

27

Multiple Choice

17−1(171)  =  ?17^{-1}\left(17^1\right)\ \ =\ \ ?

1

1

2

17

3

-17

4

-1

5

289

28

Multiple Choice

117(171)  =  ?\frac{1}{17}\left(17^1\right)\ \ =\ \ ?

1

1

2

17

3

-17

4

-1

5

289

29

Multiple Choice

(17117)  =  ?\left(\frac{17^1}{17}\right)\ \ =\ \ ?

1

1

2

17

3

-17

4

-1

5

289

30

Multiple Choice

17−1 (17)  is the same as   117(17) is the same as      1711717^{-1\ }\left(17\right)\ \ is\ the\ same\ as\ \ \ \frac{1}{17}\left(17\right)\ is\ the\ same\ as\ \ \ \ \ \ \frac{17^1}{17}

1

Yes

2

No

31

Multiple Choice

17−1 (17)  is the same as   17(17)17^{-1\ }\left(17\right)\ \ is\ the\ same\ as\ \ \ 17\left(17\right)

1

Yes

2

No

32

Division as a fraction

33

If you see one thing on the top and that same thing on the bottom: cross out one on the bottom and one on the top

media

34

If you see one thing on the top and that same thing on the bottom:
cross them out one at a time, there might be extra

media

35

Multiple Choice

202= ?\frac{20}{2}=\ ?

1

10

2

18

3

1

4

40

5

22

36

Multiple Choice

4⋅52= ?\frac{4\cdot5}{2}=\ ?

1

10

2

18

3

1

4

40

5

22

37

Multiple Choice

2⋅2⋅52= ?\frac{2\cdot2\cdot5}{2}=\ ?

1

10

2

18

3

1

4

40

5

22

38

Multiple Choice

1⋅2⋅51= ?\frac{1\cdot2\cdot5}{1}=\ ?

1

10

2

18

3

1

4

40

5

22

39

Multiple Choice

2⋅5= ?2\cdot5=\ ?

1

10

2

18

3

1

4

40

5

22

40

Multiple Choice

2⋅2⋅52   is the same as   1⋅2⋅51    is the same as   2⋅5\frac{2\cdot2\cdot5}{2}\ \ \ is\ the\ same\ as\ \ \ \frac{1\cdot2\cdot5}{1}\ \ \ \ is\ the\ same\ as\ \ \ 2\cdot5

1

Yes

2

No

41

Multiple Choice

1623  =?\frac{162}{3}\ \ =?

1
18
2
45
3
27
4
54
5
36

42

Multiple Choice

2⋅813=  ?\frac{2\cdot81}{3}=\ \ ?

1
18
2
45
3
27
4
54
5
36

43

Multiple Choice

2⋅3⋅273=  ?\frac{2\cdot3\cdot27}{3}=\ \ ?

1
18
2
45
3
27
4
54
5
36

44

Multiple Choice

2⋅1⋅271=  ?\frac{2\cdot1\cdot27}{1}=\ \ ?

1
18
2
45
3
27
4
54
5
36

45

Multiple Choice

2⋅27=  ?2\cdot27=\ \ ?

1
18
2
45
3
27
4
54
5
36

46

Multiple Choice

1623   is the same as   2⋅3⋅273    is the same as   2⋅27\frac{162}{3}\ \ \ is\ the\ same\ as\ \ \ \frac{2\cdot3\cdot27}{3}\ \ \ \ is\ the\ same\ as\ \ \ 2\cdot27

1

Yes

2

No

47

Division as a fraction written out

48

Multiple Choice

84105=?\frac{84}{105}=?

1

45\frac{4}{5}

2

8

3

7

4

35\frac{3}{5}

5

47\frac{4}{7}

49

Multiple Choice

4⋅215⋅21=?\frac{4\cdot21}{5\cdot21}=?

1

45\frac{4}{5}

2

8

3

7

4

35\frac{3}{5}

5

47\frac{4}{7}

50

Multiple Choice

91169=?\frac{91}{169}=?

1

713\frac{7}{13}

2

538

3

13

4

1115\frac{11}{15}

5

710\frac{7}{10}

51

Multiple Choice

7⋅1313⋅13=?\frac{7\cdot13}{13\cdot13}=?

1

713\frac{7}{13}

2

538

3

13

4

1115\frac{11}{15}

5

710\frac{7}{10}

52

Multiple Choice

2102310=?\frac{210}{2310}=?

1

111\frac{1}{11}

2

909

3

0.0909

4

511\frac{5}{11}

5

313\frac{3}{13}

53

Multiple Choice

2⋅1052⋅1155=?\frac{2\cdot105}{2\cdot1155}=?

1

111\frac{1}{11}

2

909

3

0.0909

4

511\frac{5}{11}

5

313\frac{3}{13}

54

Multiple Choice

5⋅215⋅231=?\frac{5\cdot21}{5\cdot231}=?

1

111\frac{1}{11}

2

909

3

0.0909

4

511\frac{5}{11}

5

313\frac{3}{13}

55

Multiple Choice

7⋅37⋅33=?\frac{7\cdot3}{7\cdot33}=?

1

111\frac{1}{11}

2

909

3

0.0909

4

511\frac{5}{11}

5

313\frac{3}{13}

56

Multiple Choice

33⋅11=?\frac{3}{3\cdot11}=?

1

111\frac{1}{11}

2

909

3

0.0909

4

511\frac{5}{11}

5

313\frac{3}{13}

57

Division cancel multiplaction, only x

58

Multiple Choice

9⋅x5⋅x=?\frac{9\cdot x}{5\cdot x}=?

1

9x⋅x5\frac{9x\cdot x}{5}

2

9x5\frac{9x}{5}

3

9⋅x⋅x⋅x5⋅x⋅x\frac{9\cdot x\cdot x\cdot x}{5\cdot x\cdot x}

4

95\frac{9}{5}

59

Multiple Choice

8⋅x3⋅x=?\frac{8\cdot x}{3\cdot x}=?

1

8x⋅x3\frac{8x\cdot x}{3}

2

8x3\frac{8x}{3}

3

8⋅x⋅x⋅x3⋅x⋅x\frac{8\cdot x\cdot x\cdot x}{3\cdot x\cdot x}

4

83\frac{8}{3}

60

Multiple Choice

11⋅x4⋅x=?\frac{11\cdot x}{4\cdot x}=?

1

11x⋅x4\frac{11x\cdot x}{4}

2

11x4\frac{11x}{4}

3

11⋅x⋅x⋅x4⋅x⋅x\frac{11\cdot x\cdot x\cdot x}{4\cdot x\cdot x}

4

114\frac{11}{4}

61

Multiple Choice

7⋅x15⋅x=?\frac{7\cdot x}{15\cdot x}=?

1

7x⋅x15\frac{7x\cdot x}{15}

2

7x15\frac{7x}{15}

3

7⋅x⋅x⋅x15⋅x⋅x\frac{7\cdot x\cdot x\cdot x}{15\cdot x\cdot x}

4

715\frac{7}{15}

62

Multiple Choice

14⋅x2⋅x=?\frac{14\cdot x}{2\cdot x}=?

1

14x⋅x2\frac{14x\cdot x}{2}

2

14x2\frac{14x}{2}

3

14⋅x⋅x⋅x2⋅x⋅x\frac{14\cdot x\cdot x\cdot x}{2\cdot x\cdot x}

4

77

63

Multiple Choice

7⋅2⋅x2⋅x=?\frac{7\cdot2\cdot x}{2\cdot x}=?

1

14x⋅x2\frac{14x\cdot x}{2}

2

14x2\frac{14x}{2}

3

14⋅x⋅x⋅x2⋅x⋅x\frac{14\cdot x\cdot x\cdot x}{2\cdot x\cdot x}

4

77

64

Multiple Choice

3⋅x7⋅x=?\frac{3\cdot x}{7\cdot x}=?

1

3x⋅x7\frac{3x\cdot x}{7}

2

3x7\frac{3x}{7}

3

3⋅x⋅x⋅x7⋅x⋅x\frac{3\cdot x\cdot x\cdot x}{7\cdot x\cdot x}

4

37\frac{3}{7}

65

Multiple Choice

3⋅x⋅x7⋅x⋅x=?\frac{3\cdot x\cdot x}{7\cdot x\cdot x}=?

1

3x⋅x7\frac{3x\cdot x}{7}

2

3x7\frac{3x}{7}

3

3⋅x⋅x⋅x7⋅x⋅x\frac{3\cdot x\cdot x\cdot x}{7\cdot x\cdot x}

4

37\frac{3}{7}

66

Multiple Choice

3⋅x⋅x⋅x7⋅x⋅x⋅x=?\frac{3\cdot x\cdot x\cdot x}{7\cdot x\cdot x\cdot x}=?

1

3x⋅x7\frac{3x\cdot x}{7}

2

3x7\frac{3x}{7}

3

3⋅x⋅x⋅x7⋅x⋅x\frac{3\cdot x\cdot x\cdot x}{7\cdot x\cdot x}

4

37\frac{3}{7}

67

Multiple Choice

3⋅x⋅x⋅x⋅x7⋅x⋅x⋅x⋅x=?\frac{3\cdot x\cdot x\cdot x\cdot x}{7\cdot x\cdot x\cdot x\cdot x}=?

1

3x⋅x7\frac{3x\cdot x}{7}

2

3x7\frac{3x}{7}

3

3⋅x⋅x⋅x7⋅x⋅x\frac{3\cdot x\cdot x\cdot x}{7\cdot x\cdot x}

4

37\frac{3}{7}

68

Multiple Choice

3⋅x⋅x⋅x⋅x7⋅x⋅x⋅x=?\frac{3\cdot x\cdot x\cdot x\cdot x}{7\cdot x\cdot x\cdot x}=?

1

3x⋅x7\frac{3x\cdot x}{7}

2

3⋅x7\frac{3\cdot x}{7}

3

3⋅x⋅x⋅x7⋅x⋅x\frac{3\cdot x\cdot x\cdot x}{7\cdot x\cdot x}

4

37\frac{3}{7}

69

Division cancel multiplaction, x and y

70

Multiple Choice

x⋅y+z⋅yy=?\frac{x\cdot y+z\cdot y}{y}=?

1

x+zx+z

2

x⋅y+z⋅11\frac{x\cdot y+z\cdot1}{1}

71

Multiple Choice

x⋅1+z⋅11=?\frac{x\cdot1+z\cdot1}{1}=?

1

x+zx+z

2

x⋅y+z⋅11\frac{x\cdot y+z\cdot1}{1}

72

Multiple Choice

x⋅1+z⋅11=\frac{x\cdot1+z\cdot1}{1}= x⋅y+z⋅yy\frac{x\cdot y+z\cdot y}{y}

1

Yes

2

No

73

Multiple Choice

x⋅yy+z⋅yy=?\frac{x\cdot y}{y}+\frac{z\cdot y}{y}=?

1

x+zx+z

2

x⋅y+z⋅11\frac{x\cdot y+z\cdot1}{1}

74

Multiple Choice

x⋅11+z⋅11=?\frac{x\cdot1}{1}+\frac{z\cdot1}{1}=?

1

x+zx+z

2

x⋅y+z⋅11\frac{x\cdot y+z\cdot1}{1}

75

Multiple Choice

x⋅y+z⋅yy=\frac{x\cdot y+z\cdot y}{y}= x⋅yy+z⋅yy\frac{x\cdot y}{y}+\frac{z\cdot y}{y}

1

Yes

2

No

76

Multiple Choice

x⋅y⋅y+y⋅yy=?\frac{x\cdot y\cdot y+y\cdot y}{y}=?

1

x⋅y + yx\cdot y\ +\ y

2

x⋅1+11\frac{x\cdot1+1}{1}

77

Multiple Choice

x⋅y⋅1+y⋅11=?\frac{x\cdot y\cdot1+y\cdot1}{1}=?

1

x⋅y + yx\cdot y\ +\ y

2

x⋅1+11\frac{x\cdot1+1}{1}

78

Multiple Choice

x⋅y⋅y+y⋅yy=\frac{x\cdot y\cdot y+y\cdot y}{y}= x⋅yy+z⋅yy\frac{x\cdot y}{y}+\frac{z\cdot y}{y}

1

True

2

False

79

Multiple Choice

x⋅y⋅yy+y⋅yy=?\frac{x\cdot y\cdot y}{y}+\frac{y\cdot y}{y}=?

1

x⋅y + yx\cdot y\ +\ y

2

x⋅1+11\frac{x\cdot1+1}{1}

80

Multiple Choice

x⋅y⋅z+x⋅z⋅zx⋅z=?\frac{x\cdot y\cdot z+x\cdot z\cdot z}{x\cdot z}=?

1

y +zy\ +z

2

x⋅y⋅z + zx\cdot y\cdot z\ +\ z

3

y + x⋅z⋅zy\ +\ x\cdot z\cdot z

4

y⋅z +x⋅ zy\cdot z\ +x\cdot\ z

5

yy

81

Multiple Choice

x⋅y⋅zx⋅z+x⋅z⋅zx⋅z=?\frac{x\cdot y\cdot z}{x\cdot z}+\frac{x\cdot z\cdot z}{x\cdot z}=?

1

y +zy\ +z

2

x⋅y⋅z + zx\cdot y\cdot z\ +\ z

3

y + x⋅z⋅zy\ +\ x\cdot z\cdot z

4

y⋅z +x⋅ zy\cdot z\ +x\cdot\ z

5

yy

82

Division cancel multiplaction, x and y and z

pattern-tertiary

Everyone has been struggling with the idea of division.
This will hopefully help

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