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PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

Oct 17, 2020

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Page 1: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3
Page 2: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3
Page 3: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3
Page 4: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

•𝜋

Page 5: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

Page 6: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

1

3

1

3

1

3

1

3

1

3

1

3

𝟐

𝟑

𝟐

𝟑

𝟐

𝟑

𝟐

𝟑

1

3

1

1

2

1

2

1

6

1

6

1

6

1

6

1

6

1

6

1

3

1

3

1

3

1

4

1

4

1

4

1

4

1

8

1

8

1

8

1

8

1

8

1

8

1

8

1

8

Page 7: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3
Page 8: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3
Page 9: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

3

12

1

4+

1

4+

1

43 ×

1

4

7 ×2

3

𝟐

𝟑

𝟐

𝟑

𝟐

𝟑

𝟐

𝟑

1

1

7

Page 10: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

3 ×2

7

4 ×2

3=

8

3

8

3= 2

2

3

2

7

2

7

2

7

3×2

7

𝟐

𝟑

𝟐

𝟑

𝟐

𝟑

𝟐

𝟑

3 ×2

38 ×

2

3

2

3× 5 1.5 ×

4

3

3 ×2

52 ×

3

53 ×

2

53 ×

2

73 ×

2

56 ×

1

5

Page 11: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

1

1

5=

1

15

1

1

2

1

3÷ 5

1

5÷ 3

1

3

1

5×1

6=1

?

1

3×1

?=

1

30

1

?×1

?=

1

30

Page 12: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

2

3

5

2 × 3

3 × 5=

6

15=2

5

3

5

2 × 3

3 × 5=2 × 3

5 × 3=2

5

2 × 3 ×1

3×1

5

2

33

5

1

5×3

8

2

5×3

8−

1

15×

9

16

2

15×15

16

3

5

2

0.2 ×40

81

2

3

32

56

3

8×8

7

5

3

11

3

4+

4

10

Page 13: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

1

3

1

3

1

3

1 ÷1

3= 4 ÷

1

3= 40 ÷

1

3= 1 ÷

1

?= 6 ? ÷

1

6= 30 ? ÷

1

6= 15

4 ÷1

24 ÷

1

34 ÷

1

44 ÷

1

5

4 ÷1

138 ÷

1

138 ÷

1

𝑛𝑎 ÷

1

𝑛

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

4

4 ÷1

2=

4 ÷ 8 =

2 ÷1

2=

1 ÷1

2=

Page 14: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

3

1

4

3

1

8

1

1

6

1

1

6

< > =

3

1

8

3

8

1

8

1

8

1

8

1

4

1

4

1

4

1

8

1

8

1

8

1

8

1

8

1

8

1

2

1

2

1

6

1

6

1

6

1

6

1

6

1

6

1

3

1

3

1

3

1

1

3=

3

2

3

5÷1

5

3

5÷1

6

1

2÷1

5

1

4÷1

5

1

5÷1

3

3

5÷1

9

Page 15: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

1

5× 5

1

7

8

1

7

8

2

7

1

7

81

8

7?

21

2

2

50.4 𝑎

2

𝑎

3 ÷1

4

3 × 4

3 ÷ 4

3 ×1

4

8 ÷1

5

8 × 5

8 ÷ 5

8 ×1

5

1

4

1

4

1

4

1

4

1

8

1

8

1

8

1

8

1

8

1

8

1

8

1

8

2 ÷1

52 ÷

2

5

3

5÷2

5

3

10÷2

5

1

5÷ 2 0.4 ÷

1

2

Page 16: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

2

3

4

2

5÷3

4

=8

20÷15

20

=8

15

2

5÷3

4

=2

5×4

3

=8

15

2

5÷3

4

=0.4

0.75

=40

75

=8

15

2

5÷3

4= 𝑥

2

5=3

4𝑥

2

5× 4

= 3𝑥

8

5÷ 3 = 𝑥

8

15= 𝑥

8

9÷ 0.9 4

100

63

35

70

175

5

6𝑦 =

35

48

Page 17: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

64

5÷ 2

2

5.

𝟐

𝟑

𝟐

𝟑

𝟐

𝟑

𝟐

𝟑

21

4× 3 2

1

4× 4 5 × 2

1

4

55

8× 1

7

955

8× 1

5

955

8× 1

5

7

1 ÷2

51 ÷ 2

2

52 ÷ 2.4

43

8÷ 2

1

721

7÷ 4

3

8

22

7÷ 4.375

Page 18: PowerPoint Presentation...2020/07/03  · ÷43 8 22 7 ÷4.375 2 5 ÷ 5 2 5 ÷5 2 5 × 𝑟 3 5 × 𝑟 4 5 ÷𝑟 2 5 × 𝑟 3𝑟 5 × ... ×1 5÷4 5 ÷𝑟 a 2 × 4 3 2 × 4 3 3

𝑥

2𝑥

𝑥

5

2𝑥

5

𝑥

2

𝑤

𝑟

3

5𝑤×

𝑤

𝑟

4

5𝑤÷

𝑟

𝑤

2𝑤

𝑤

𝑟

3𝑟

5𝑤×

𝑤

3𝑟

5 ×4

5𝑤÷

𝑟

𝑤

2𝑤

𝑤

𝑟÷ 2

3𝑟

5𝑤×

2𝑤

3𝑟2×

1

𝑚

5 ÷4

5𝑤÷

𝑟

𝑤

a

2×4𝑎

3

2

𝑎×4𝑎

3

3

𝑏÷

𝑏

5

𝑏

3÷𝑏

5

𝑐2

4

𝑐

4

2

(𝑑 + 5) ÷ 2𝑑 (𝑑 + 5) ÷2

𝑑