02_ma1_unsur.pdf

Bilangan Rasional

Taufan Mahardhika, M.Si.

Universitas [email protected]

23 September 2013

@taufansensei (UNSUR) Bilangan Rasional 23 September 2013 1 / 20

Silabus Jelang UTS

Sesi Tanggal Bab Materi1 16-09 1 Aritmatika Dasar2 23-09 2,3,5 Pecahan, Desimal, Persen3 30-09 6,7,8 Rasio, Proporsi, Pangkat, Akar, Unit dan

Prefix4 07-10 1-8 Quiz 15 14-10 9 Aljabar Dasar6 21-10 10 Aljabar Lanjut7 28-10 11 Persamaan Sederhana8 04-11 1-11 UTS


Bilangan Rasional

Pecahan7

2= 3

1

2

Ubah ke bentuk Pecahan campuran

1 97 =

1 27

2 133 = 4 1

3

3 458 = 5 5

8

Ubah ke bentuk Pecahan

1 1 23 = 5

3

2 3 57 = 26

7

3 4 25 = 22

5


Bilangan Rasional

Pecahan7

2= 3

1

2


1 97 = 1 2

7

2 133 =

4 13

3 458 = 5 5

8


1 1 23 = 5

3

2 3 57 = 26

7

3 4 25 = 22

5


Bilangan Rasional

Pecahan7

2= 3

1

2


1 97 = 1 2

7

2 133 = 4 1

3

3 458 =

5 58


1 1 23 = 5

3

2 3 57 = 26

7

3 4 25 = 22

5


Bilangan Rasional

Pecahan7

2= 3

1

2


1 97 = 1 2

7

2 133 = 4 1

3

3 458 = 5 5

8


1 1 23 =

53

2 3 57 = 26

7

3 4 25 = 22

5


Bilangan Rasional

Pecahan7

2= 3

1

2


1 97 = 1 2

7

2 133 = 4 1

3

3 458 = 5 5

8


1 1 23 = 5

3

2 3 57 =

267

3 4 25 = 22

5


Bilangan Rasional

Pecahan7

2= 3

1

2


1 97 = 1 2

7

2 133 = 4 1

3

3 458 = 5 5

8


1 1 23 = 5

3

2 3 57 = 26

7

3 4 25 =

225


Bilangan Rasional

Pecahan7

2= 3

1

2


1 97 = 1 2

7

2 133 = 4 1

3

3 458 = 5 5

8


1 1 23 = 5

3

2 3 57 = 26

7

3 4 25 = 22

5


Bilangan Rasional

Jika dalam suatu angkatan terdiri dari 210 mahasiswa sedangkan 90 diantaramahasiswa tersebut adalah lulusan SMK. Tentukan bentuk pecahan sederhanadari lulusan SMK tersebut.

SMK =90

210=

45

105=

15

35=

3

7

Jadi lulusan SMK adalah 37 dari total mahasiswa.


Bilangan Rasional


SMK =90

210

=45

105=

15

35=

3

7



Bilangan Rasional


SMK =90

210=

45

105

=15

35=

3

7



Bilangan Rasional


SMK =90

210=

45

105=

15

35=

3

7



Operasi Penjumlahan dan Pengurangan

1 713 + 5

13 =

1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 =

213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 =

− 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 =

− 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 =

88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 =

1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 =

28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 =

14

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 =

− 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 =

− 14

8 − 58 − 3

8 = − 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 =

− 88 = − 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 =

− 1



1 713 + 5

13 = 1213

2 713 − 5

13 = 213

3 − 713 + 5

13 = − 213

4 − 713 − 5

13 = − 1213

5 58 + 3

8 = 88 = 1

6 58 − 3

8 = 28 = 1

4

7 − 58 + 3

8 = − 28 = − 1

4

8 − 58 − 3

8 = − 88 = − 1


Operasi Penjumlahan

2

3+

4

5=

2 × 5 + 4 × 3

3 × 5=

10 + 12

15=

22

15= 1

7

15


Operasi Penjumlahan

2

3+

4

5=

2 × 5 + 4 × 3

3 × 5=

10 + 12

15=

22

15=

17

15


Operasi Penjumlahan

2

3+

4

5=

2 × 5 + 4 × 3

3 × 5=

10 + 12

15=

22

15= 1

7

15


Operasi Pengurangan

9

10− 13

14=

9 × 14 − 13 × 10

10 × 14=

126 − 130

140=

−4

140= − 1

35

Cara Laintentukan KPK dari 10 dan 14 = 70

9

10− 13

14=

9 × 7010 − 13 × 70

14

70=

63 − 65

70=

−2

70= − 1

35


Operasi Pengurangan

9

10− 13

14=

9 × 14 − 13 × 10

10 × 14=

126 − 130

140=

−4

140=

− 1

35


9

10− 13

14=

9 × 7010 − 13 × 70

14

70=

63 − 65

70=

−2

70= − 1

35


Operasi Pengurangan

9

10− 13

14=

9 × 14 − 13 × 10

10 × 14=

126 − 130

140=

−4

140= − 1

35

Cara Laintentukan KPK dari 10 dan 14 =

70

9

10− 13

14=

9 × 7010 − 13 × 70

14

70=

63 − 65

70=

−2

70= − 1

35


Operasi Pengurangan

9

10− 13

14=

9 × 14 − 13 × 10

10 × 14=

126 − 130

140=

−4

140= − 1

35


9

10− 13

14=

9 × 7010 − 13 × 70

14

70=

63 − 65

70=

−2

70= − 1

35


Operasi Pengurangan

9

10− 13

14=

9 × 14 − 13 × 10

10 × 14=

126 − 130

140=

−4

140= − 1

35


9

10− 13

14=

9 × 7010 − 13 × 70

14

70=

63 − 65

70=

−2

70=

− 1

35


Operasi Pengurangan

9

10− 13

14=

9 × 14 − 13 × 10

10 × 14=

126 − 130

140=

−4

140= − 1

35


9

10− 13

14=

9 × 7010 − 13 × 70

14

70=

63 − 65

70=

−2

70= − 1

35



5

6− 3

4+

7

15=

5 × 4 × 15 − 3 × 6 × 15 + 7 × 6 × 4

6 × 4 × 15

=300 − 270 + 168

360=

198

360=

99

180=

33

60=

11

20

Cara lainHitung KPK dari 6, 4 dan 15 yakni 60

5

6− 3

4+

7

15=

5 × 606 − 3 × 60

4 + 7 × 6015

60

=50 − 45 + 28

60=

33

60=

11

20



5

6− 3

4+

7

15=

5 × 4 × 15 − 3 × 6 × 15 + 7 × 6 × 4

6 × 4 × 15

=300 − 270 + 168

360

=198

360=

99

180=

33

60=

11

20


5

6− 3

4+

7

15=

5 × 606 − 3 × 60

4 + 7 × 6015

60

=50 − 45 + 28

60=

33

60=

11

20



5

6− 3

4+

7

15=

5 × 4 × 15 − 3 × 6 × 15 + 7 × 6 × 4

6 × 4 × 15

=300 − 270 + 168

360=

198

360

=99

180=

33

60=

11

20


5

6− 3

4+

7

15=

5 × 606 − 3 × 60

4 + 7 × 6015

60

=50 − 45 + 28

60=

33

60=

11

20



5

6− 3

4+

7

15=

5 × 4 × 15 − 3 × 6 × 15 + 7 × 6 × 4

6 × 4 × 15

=300 − 270 + 168

360=

198

360=

99

180=

33

60=

11

20

Cara lainHitung KPK dari 6, 4 dan 15 yakni

60

5

6− 3

4+

7

15=

5 × 606 − 3 × 60

4 + 7 × 6015

60

=50 − 45 + 28

60=

33

60=

11

20



5

6− 3

4+

7

15=

5 × 4 × 15 − 3 × 6 × 15 + 7 × 6 × 4

6 × 4 × 15

=300 − 270 + 168

360=

198

360=

99

180=

33

60=

11

20


5

6− 3

4+

7

15=

5 × 606 − 3 × 60

4 + 7 × 6015

60

=50 − 45 + 28

60=

33

60=

11

20



5

6− 3

4+

7

15=

5 × 4 × 15 − 3 × 6 × 15 + 7 × 6 × 4

6 × 4 × 15

=300 − 270 + 168

360=

198

360=

99

180=

33

60=

11

20


5

6− 3

4+

7

15=

5 × 606 − 3 × 60

4 + 7 × 6015

60

=50 − 45 + 28

60

=33

60=

11

20



5

6− 3

4+

7

15=

5 × 4 × 15 − 3 × 6 × 15 + 7 × 6 × 4

6 × 4 × 15

=300 − 270 + 168

360=

198

360=

99

180=

33

60=

11

20


5

6− 3

4+

7

15=

5 × 606 − 3 × 60

4 + 7 × 6015

60

=50 − 45 + 28

60=

33

60=

11

20



55

8− 3

1

4− 1

2

5=

(5 − 3 − 1) + (5

8− 1

4− 2

5)

= 1 + (5 × 5 − 1 × 10 − 2 × 8

40)

= 1 +25 − 10 − 16

40

= 1 +−1

40

=40

40− 1

40=

39

40



55

8− 3

1

4− 1

2

5= (5 − 3 − 1) + (

5

8− 1

4− 2

5)

= 1 + (5 × 5 − 1 × 10 − 2 × 8

40)

= 1 +25 − 10 − 16

40

= 1 +−1

40

=40

40− 1

40=

39

40


Operasi Perkalian

1

2

3× 5 =

2

3× 5

1=

2 × 5

3 × 1=

10

3= 3

1

3

2

−2 × 3

5=

−2

1× 3

5=

−2 × 3

1 × 5=

−6

5= −1

1

5

3

2

3× 5

6=

2 × 5

3 × 6=

10

18=

5

9

4

9

4×− 8

21=

9 ×−8

4 × 21=

(3 × 3) × (−2 × 2 × 2)

(2 × 2) × (3 × 7)=

−3 × 2

7=

−6

7


Operasi Perkalian

1

2

3× 5 =

2

3× 5

1=

2 × 5

3 × 1=

10

3= 3

1

3

2

−2 × 3

5=

−2

1× 3

5=

−2 × 3

1 × 5=

−6

5= −1

1

5

3

2

3× 5

6=

2 × 5

3 × 6=

10

18=

5

9

4

9

4×− 8

21=

9 ×−8

4 × 21

=(3 × 3) × (−2 × 2 × 2)

(2 × 2) × (3 × 7)=

−3 × 2

7=

−6

7


Operasi Perkalian

1

2

3× 5 =

2

3× 5

1=

2 × 5

3 × 1=

10

3= 3

1

3

2

−2 × 3

5=

−2

1× 3

5=

−2 × 3

1 × 5=

−6

5= −1

1

5

3

2

3× 5

6=

2 × 5

3 × 6=

10

18=

5

9

4

9

4×− 8

21=

9 ×−8

4 × 21=

(3 × 3) × (−2 × 2 × 2)

(2 × 2) × (3 × 7)

=−3 × 2

7=

−6

7


Operasi Perkalian

1

2

3× 5 =

2

3× 5

1=

2 × 5

3 × 1=

10

3= 3

1

3

2

−2 × 3

5=

−2

1× 3

5=

−2 × 3

1 × 5=

−6

5= −1

1

5

3

2

3× 5

6=

2 × 5

3 × 6=

10

18=

5

9

4

9

4×− 8

21=

9 ×−8

4 × 21=

(3 × 3) × (−2 × 2 × 2)

(2 × 2) × (3 × 7)=

−3 × 2

7=

−6

7


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1=

2

3× 1

5=

2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5=

−2

1× 5

3=

−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63=

(9) × (4 ×−20)

(4 × 7) × (9 × 7)=

−20

49


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1

=2

3× 1

5=

2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5=

−2

1× 5

3=

−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63=

(9) × (4 ×−20)

(4 × 7) × (9 × 7)=

−20

49


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1=

2

3× 1

5

=2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5=

−2

1× 5

3=

−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63=

(9) × (4 ×−20)

(4 × 7) × (9 × 7)=

−20

49


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1=

2

3× 1

5=

2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5=

−2

1× 5

3=

−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63=

(9) × (4 ×−20)

(4 × 7) × (9 × 7)=

−20

49


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1=

2

3× 1

5=

2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5

=−2

1× 5

3=

−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63=

(9) × (4 ×−20)

(4 × 7) × (9 × 7)=

−20

49


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1=

2

3× 1

5=

2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5=

−2

1× 5

3

=−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63=

(9) × (4 ×−20)

(4 × 7) × (9 × 7)=

−20

49


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1=

2

3× 1

5=

2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5=

−2

1× 5

3=

−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63=

(9) × (4 ×−20)

(4 × 7) × (9 × 7)=

−20

49


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1=

2

3× 1

5=

2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5=

−2

1× 5

3=

−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63

=(9) × (4 ×−20)

(4 × 7) × (9 × 7)=

−20

49


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1=

2

3× 1

5=

2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5=

−2

1× 5

3=

−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63=

(9) × (4 ×−20)

(4 × 7) × (9 × 7)

=−20

49


Operasi Pembagian

1

2

3÷ 5 =

2

3÷ 5

1=

2

3× 1

5=

2

15

2

−2 ÷ 3

5=

−2

1÷ 3

5=

−2

1× 5

3=

−10

3= −3

1

3

3

2

3÷ 5

6=

2

3× 6

5=

12

15=

4

5

4

9

28÷−63

80=

9

28× −80

63=

(9) × (4 ×−20)

(4 × 7) × (9 × 7)=

−20

49


Operasi Perkalian dan Pembagian

1

23

4× 1

1

7=

11

4× 8

7=

22

7= 3

1

7

2

12

3÷ 5

5

12=

5

3÷ 65

12=

5

3× 12

65=

4

13



1

23

4× 1

1

7=

11

4× 8

7

=22

7= 3

1

7

2

12

3÷ 5

5

12=

5

3÷ 65

12=

5

3× 12

65=

4

13



1

23

4× 1

1

7=

11

4× 8

7=

22

7= 3

1

7

2

12

3÷ 5

5

12=

5

3÷ 65

12=

5

3× 12

65=

4

13



1

23

4× 1

1

7=

11

4× 8

7=

22

7= 3

1

7

2

12

3÷ 5

5

12=

5

3÷ 65

12

=5

3× 12

65=

4

13



1

23

4× 1

1

7=

11

4× 8

7=

22

7= 3

1

7

2

12

3÷ 5

5

12=

5

3÷ 65

12=

5

3× 12

65

=4

13



1

23

4× 1

1

7=

11

4× 8

7=

22

7= 3

1

7

2

12

3÷ 5

5

12=

5

3÷ 65

12=

5

3× 12

65=

4

13


Exercise 7 no 3

1

2+

3

5÷ 9

15− 1

3=

1

2+

3

5× 15

9− 1

3

=1

2+ 1 − 1

3=

3 + 6 − 2

6=

7

6= 1

1

6


Desimal

1 12 =

0.5

2 13 = 0.333333333333

3 14 = 0.25

4 15 = 0.2

5 16 = 0.166666666666

6 17 = 0.142857142857

7 18 = 0.125

8 19 = 0.111111111111

9 110 = 0.1

10 111 = 0.090909090909


Desimal

1 12 = 0.5

2 13 =

0.333333333333

3 14 = 0.25

4 15 = 0.2

5 16 = 0.166666666666

6 17 = 0.142857142857

7 18 = 0.125

8 19 = 0.111111111111

9 110 = 0.1

10 111 = 0.090909090909


Desimal

1 12 = 0.5

2 13 = 0.333333333333

3 14 =

0.25

4 15 = 0.2

5 16 = 0.166666666666

6 17 = 0.142857142857

7 18 = 0.125

8 19 = 0.111111111111

9 110 = 0.1

10 111 = 0.090909090909


Desimal

1 12 = 0.5

2 13 = 0.333333333333

3 14 = 0.25

4 15 =

0.2

5 16 = 0.166666666666

6 17 = 0.142857142857

7 18 = 0.125

8 19 = 0.111111111111

9 110 = 0.1

10 111 = 0.090909090909


Desimal

1 12 = 0.5

2 13 = 0.333333333333

3 14 = 0.25

4 15 = 0.2

5 16 =

0.166666666666

6 17 = 0.142857142857

7 18 = 0.125

8 19 = 0.111111111111

9 110 = 0.1

10 111 = 0.090909090909


Desimal

1 12 = 0.5

2 13 = 0.333333333333

3 14 = 0.25

4 15 = 0.2

5 16 = 0.166666666666

6 17 =

0.142857142857

7 18 = 0.125

8 19 = 0.111111111111

9 110 = 0.1

10 111 = 0.090909090909


Desimal

1 12 = 0.5

2 13 = 0.333333333333

3 14 = 0.25

4 15 = 0.2

5 16 = 0.166666666666

6 17 = 0.142857142857

7 18 =

0.125

8 19 = 0.111111111111

9 110 = 0.1

10 111 = 0.090909090909


Desimal

1 12 = 0.5

2 13 = 0.333333333333

3 14 = 0.25

4 15 = 0.2

5 16 = 0.166666666666

6 17 = 0.142857142857

7 18 = 0.125

8 19 =

0.111111111111

9 110 = 0.1

10 111 = 0.090909090909


Desimal

1 12 = 0.5

2 13 = 0.333333333333

3 14 = 0.25

4 15 = 0.2

5 16 = 0.166666666666

6 17 = 0.142857142857

7 18 = 0.125

8 19 = 0.111111111111

9 110 =

0.1

10 111 = 0.090909090909


Desimal

1 12 = 0.5

2 13 = 0.333333333333

3 14 = 0.25

4 15 = 0.2

5 16 = 0.166666666666

6 17 = 0.142857142857

7 18 = 0.125

8 19 = 0.111111111111

9 110 = 0.1

10 111 =

0.090909090909


Desimal

1 12 = 0.5

2 13 = 0.333333333333

3 14 = 0.25

4 15 = 0.2

5 16 = 0.166666666666

6 17 = 0.142857142857

7 18 = 0.125

8 19 = 0.111111111111

9 110 = 0.1

10 111 = 0.090909090909


Desimal

1 32 =

1.5

2 83 = 2.666666666666

3 114 = 2.75

4 95 = 1.8

5 116 = 1.833333333333

6 117 = 1.571428571428

7 118 = 1.375

8 269 = 2.888888888888

9 4410 = 4.4

10 4911 = 4.4545454545


Desimal

1 32 = 1.5

2 83 =

2.666666666666

3 114 = 2.75

4 95 = 1.8

5 116 = 1.833333333333

6 117 = 1.571428571428

7 118 = 1.375

8 269 = 2.888888888888

9 4410 = 4.4

10 4911 = 4.4545454545


Desimal

1 32 = 1.5

2 83 = 2.666666666666

3 114 =

2.75

4 95 = 1.8

5 116 = 1.833333333333

6 117 = 1.571428571428

7 118 = 1.375

8 269 = 2.888888888888

9 4410 = 4.4

10 4911 = 4.4545454545


Desimal

1 32 = 1.5

2 83 = 2.666666666666

3 114 = 2.75

4 95 =

1.8

5 116 = 1.833333333333

6 117 = 1.571428571428

7 118 = 1.375

8 269 = 2.888888888888

9 4410 = 4.4

10 4911 = 4.4545454545


Desimal

1 32 = 1.5

2 83 = 2.666666666666

3 114 = 2.75

4 95 = 1.8

5 116 =

1.833333333333

6 117 = 1.571428571428

7 118 = 1.375

8 269 = 2.888888888888

9 4410 = 4.4

10 4911 = 4.4545454545


Desimal

1 32 = 1.5

2 83 = 2.666666666666

3 114 = 2.75

4 95 = 1.8

5 116 = 1.833333333333

6 117 =

1.571428571428

7 118 = 1.375

8 269 = 2.888888888888

9 4410 = 4.4

10 4911 = 4.4545454545


Desimal

1 32 = 1.5

2 83 = 2.666666666666

3 114 = 2.75

4 95 = 1.8

5 116 = 1.833333333333

6 117 = 1.571428571428

7 118 =

1.375

8 269 = 2.888888888888

9 4410 = 4.4

10 4911 = 4.4545454545


Desimal

1 32 = 1.5

2 83 = 2.666666666666

3 114 = 2.75

4 95 = 1.8

5 116 = 1.833333333333

6 117 = 1.571428571428

7 118 = 1.375

8 269 =

2.888888888888

9 4410 = 4.4

10 4911 = 4.4545454545


Desimal

1 32 = 1.5

2 83 = 2.666666666666

3 114 = 2.75

4 95 = 1.8

5 116 = 1.833333333333

6 117 = 1.571428571428

7 118 = 1.375

8 269 = 2.888888888888

9 4410 =

4.4

10 4911 = 4.4545454545


Desimal

1 32 = 1.5

2 83 = 2.666666666666

3 114 = 2.75

4 95 = 1.8

5 116 = 1.833333333333

6 117 = 1.571428571428

7 118 = 1.375

8 269 = 2.888888888888

9 4410 = 4.4

10 4911 =

4.4545454545


Desimal

1 32 = 1.5

2 83 = 2.666666666666

3 114 = 2.75

4 95 = 1.8

5 116 = 1.833333333333

6 117 = 1.571428571428

7 118 = 1.375

8 269 = 2.888888888888

9 4410 = 4.4

10 4911 = 4.4545454545


Persen

1 12 =

50%

2 13 = 33.33%

3 14 = 25%

4 15 = 20%

5 16 = 16.66%

6 17 = 14.28%

7 18 = 12.5%

8 19 = 11.11%

9 110 = 10%

10 111 = 9.09%


Persen

1 12 = 50%

2 13 =

33.33%

3 14 = 25%

4 15 = 20%

5 16 = 16.66%

6 17 = 14.28%

7 18 = 12.5%

8 19 = 11.11%

9 110 = 10%

10 111 = 9.09%


Persen

1 12 = 50%

2 13 = 33.33%

3 14 =

25%

4 15 = 20%

5 16 = 16.66%

6 17 = 14.28%

7 18 = 12.5%

8 19 = 11.11%

9 110 = 10%

10 111 = 9.09%


Persen

1 12 = 50%

2 13 = 33.33%

3 14 = 25%

4 15 =

20%

5 16 = 16.66%

6 17 = 14.28%

7 18 = 12.5%

8 19 = 11.11%

9 110 = 10%

10 111 = 9.09%


Persen

1 12 = 50%

2 13 = 33.33%

3 14 = 25%

4 15 = 20%

5 16 =

16.66%

6 17 = 14.28%

7 18 = 12.5%

8 19 = 11.11%

9 110 = 10%

10 111 = 9.09%


Persen

1 12 = 50%

2 13 = 33.33%

3 14 = 25%

4 15 = 20%

5 16 = 16.66%

6 17 =

14.28%

7 18 = 12.5%

8 19 = 11.11%

9 110 = 10%

10 111 = 9.09%


Persen

1 12 = 50%

2 13 = 33.33%

3 14 = 25%

4 15 = 20%

5 16 = 16.66%

6 17 = 14.28%

7 18 =

12.5%

8 19 = 11.11%

9 110 = 10%

10 111 = 9.09%


Persen

1 12 = 50%

2 13 = 33.33%

3 14 = 25%

4 15 = 20%

5 16 = 16.66%

6 17 = 14.28%

7 18 = 12.5%

8 19 =

11.11%

9 110 = 10%

10 111 = 9.09%


Persen

1 12 = 50%

2 13 = 33.33%

3 14 = 25%

4 15 = 20%

5 16 = 16.66%

6 17 = 14.28%

7 18 = 12.5%

8 19 = 11.11%

9 110 =

10%

10 111 = 9.09%


Persen

1 12 = 50%

2 13 = 33.33%

3 14 = 25%

4 15 = 20%

5 16 = 16.66%

6 17 = 14.28%

7 18 = 12.5%

8 19 = 11.11%

9 110 = 10%

10 111 =

9.09%


Persen

1 12 = 50%

2 13 = 33.33%

3 14 = 25%

4 15 = 20%

5 16 = 16.66%

6 17 = 14.28%

7 18 = 12.5%

8 19 = 11.11%

9 110 = 10%

10 111 = 9.09%


Persen

1 32 =

150%

2 83 = 266.66%

3 114 = 275%

4 95 = 180%

5 116 = 183.33%

6 117 = 157.14%

7 118 = 137.5%

8 269 = 288.88%

9 4410 = 440%

10 4911 = 445.45%


Persen

1 32 = 150%

2 83 =

266.66%

3 114 = 275%

4 95 = 180%

5 116 = 183.33%

6 117 = 157.14%

7 118 = 137.5%

8 269 = 288.88%

9 4410 = 440%

10 4911 = 445.45%


Persen

1 32 = 150%

2 83 = 266.66%

3 114 =

275%

4 95 = 180%

5 116 = 183.33%

6 117 = 157.14%

7 118 = 137.5%

8 269 = 288.88%

9 4410 = 440%

10 4911 = 445.45%


Persen

1 32 = 150%

2 83 = 266.66%

3 114 = 275%

4 95 =

180%

5 116 = 183.33%

6 117 = 157.14%

7 118 = 137.5%

8 269 = 288.88%

9 4410 = 440%

10 4911 = 445.45%


Persen

1 32 = 150%

2 83 = 266.66%

3 114 = 275%

4 95 = 180%

5 116 =

183.33%

6 117 = 157.14%

7 118 = 137.5%

8 269 = 288.88%

9 4410 = 440%

10 4911 = 445.45%


Persen

1 32 = 150%

2 83 = 266.66%

3 114 = 275%

4 95 = 180%

5 116 = 183.33%

6 117 =

157.14%

7 118 = 137.5%

8 269 = 288.88%

9 4410 = 440%

10 4911 = 445.45%


Persen

1 32 = 150%

2 83 = 266.66%

3 114 = 275%

4 95 = 180%

5 116 = 183.33%

6 117 = 157.14%

7 118 =

137.5%

8 269 = 288.88%

9 4410 = 440%

10 4911 = 445.45%


Persen

1 32 = 150%

2 83 = 266.66%

3 114 = 275%

4 95 = 180%

5 116 = 183.33%

6 117 = 157.14%

7 118 = 137.5%

8 269 =

288.88%

9 4410 = 440%

10 4911 = 445.45%


Persen

1 32 = 150%

2 83 = 266.66%

3 114 = 275%

4 95 = 180%

5 116 = 183.33%

6 117 = 157.14%

7 118 = 137.5%

8 269 = 288.88%

9 4410 =

440%

10 4911 = 445.45%


Persen

1 32 = 150%

2 83 = 266.66%

3 114 = 275%

4 95 = 180%

5 116 = 183.33%

6 117 = 157.14%

7 118 = 137.5%

8 269 = 288.88%

9 4410 = 440%

10 4911 =

445.45%


Persen

1 32 = 150%

2 83 = 266.66%

3 114 = 275%

4 95 = 180%

5 116 = 183.33%

6 117 = 157.14%

7 118 = 137.5%

8 269 = 288.88%

9 4410 = 440%

10 4911 = 445.45%


Persen

1 2.5% × 275 =

2.5100 × 275 = 6.875

2 Harga Pizza Meat lover adalah Rp. 45000. Sedangkan pajak restoran adalah10%. Berapakah harga yang harus dibayarkan oleh konsumen untuk 1 PizzaMeat lover.

Pajak restoran = 10% × 45000 = 4500.Jadi harga yang dibayarkan = 45000 + 4500 = 49500.

3 Mahasiswa membeli Netbook seharga Rp. 3000000 menggunakan Kartukredit. Bunga kartu kredit 4% per bulan. Berapakah yang harus dibayarkanmahasiswa tersebut setelah 3 bulan?

Hutang = 3000000. Bunga bulan ke-1 yakni = 4% × 3000000 = 120000.Total hutang di bulan ke-1 = 3000000 + 120000 = 3120000.Bunga bulan ke-2 yakni = 4% × 3120000 = 124800.Total hutang di bulan ke-2 = 3120000 + 124800 = 3244800.Bunga bulan ke-3 yakni = 4% × 3244800 = 129792.Total hutang di bulan ke-3 = 3244800 + 129792 = 3374592.


Persen

1 2.5% × 275 = 2.5100 × 275

= 6.875






Persen

1 2.5% × 275 = 2.5100 × 275 = 6.875






Persen

1 2.5% × 275 = 2.5100 × 275 = 6.875

2 Harga Pizza Meat lover adalah Rp. 45000. Sedangkan pajak restoran adalah10%. Berapakah harga yang harus dibayarkan oleh konsumen untuk 1 PizzaMeat lover.Pajak restoran = 10% × 45000 = 4500.Jadi harga yang dibayarkan = 45000 + 4500 = 49500.




Persen

1 2.5% × 275 = 2.5100 × 275 = 6.875

2 Harga Pizza Meat lover adalah Rp. 45000. Sedangkan pajak restoran adalah10%. Berapakah harga yang harus dibayarkan oleh konsumen untuk 1 PizzaMeat lover.Pajak restoran = 10% × 45000 = 4500.Jadi harga yang dibayarkan = 45000 + 4500 = 49500.

3 Mahasiswa membeli Netbook seharga Rp. 3000000 menggunakan Kartukredit. Bunga kartu kredit 4% per bulan. Berapakah yang harus dibayarkanmahasiswa tersebut setelah 3 bulan?Hutang = 3000000. Bunga bulan ke-1 yakni = 4% × 3000000 = 120000.Total hutang di bulan ke-1 = 3000000 + 120000 = 3120000.Bunga bulan ke-2 yakni = 4% × 3120000 = 124800.Total hutang di bulan ke-2 = 3120000 + 124800 = 3244800.Bunga bulan ke-3 yakni = 4% × 3244800 = 129792.Total hutang di bulan ke-3 = 3244800 + 129792 = 3374592.


Latihan

1 Revision Test 1 no 13-18

2 Revision Test 2 no 1 -27


02_ma1_unsur.pdf

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